]>
2011
3
2
175
\(d_2\)-coloring of a Graph
\(d_2\)-coloring of a Graph
en
en
A subset S of V is called an i-set (\(i\geq 2\)) if no two vertices in S have
the distance i. The 2-set number \(\alpha_2(G)\) of a graph is the maximum
cardinality among all 2-sets of G. A \(d_2\)-coloring of a graph is an assign-
ment of colors to its vertices so that no two vertices have the distance
two get the same color. The \(d_2\)-chromatic number \(\chi_{d_2}(G)\) of a graph
G is the minimum number of \(d_2\)-colors need to G. In this paper, we
initiate a study of these two new parameters.
102
111
K.
Selvakumar
S.
Nithya
\(d_2\)-coloring
\(d_2\)-chromatic number
Article.1.pdf
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[1]
G. Chartrand, L. Lesniak, Graphs and Digraphs, Wadsworth and Brooks/Cole, Monterey (1986)
##[2]
G. Fertin, E. Godard, A. Raspaud, Acyclic and k-distance coloring of the Grid, Information Processing Letters, 87 (2003), 51-58
##[3]
J. Van den Heuvel, S. McGuinness, Colouring the square of a planar graph, J. Graph Theory, 42 (2005), 110-124
]
Nonexistence of Result for some p-Laplacian Systems
Nonexistence of Result for some p-Laplacian Systems
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en
We study the nonexistence of positive solutions for the system
\[
\begin{cases}
-\Delta_{p}u=\lambda f(v),\,\,\,\,\, x\in \Omega,\\
-\Delta_{p}v=\mu g(u),\,\,\,\,\, x\in \Omega,\\
u=0=v,\,\,\,\,\, x\in \partial \Omega.
\end{cases}
\]
where \(\Delta_p\) denotes the p-Laplacian operator defined by \(\Delta_pz=div(|\nabla z|^{p-2} \nabla z)\) for \(p >1\) and \(\Omega\) is
a smooth bounded domain in \(N^R (N \geq 1)\) , with smooth boundary \(\partial \Omega\) , and \(\lambda\) , \({\mu}\) are positive
parameters. Let \(f,g: [0,\infty)\rightarrow R\) be continuous and we assume that there exist positive numbers
\(K_i\) and \(M_i ; i = 1;2\) such that \(f(v)\leq k_1v^{p-1}-M_1\) for all \(v\geq 0\) ; and \(g(u)\leq k_2u^{p-1}-M_2\) for all
\(u\geq 0\); We establish the nonexistence of positive solutions when \(\lambda_{\mu}\) is large.
112
116
G. A.
Afrouzi
Z.
Valinejad
positive solutions
p-Laplacian operator
smooth bounded domain
Article.2.pdf
[
[1]
G. A. Afrouzi, S. H. Rasouli, Population models involving the p-Laplacian with indefinite weight and constant yeild harvesting , Chaos Solitons Fractals, Vol. 31, 404--408 (2007)
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L. Boccardo, D. G. Figueiredo, Some remarks on a system of quasilinear elliptic equations, Nonl. Diff. Eqns. Appl., 9 (2002), 231-240
##[3]
P. Clement, J. Fleckinger, E. Mitidieri, F. de Thelin, Existence of positive solutions for a nonvariational quasilinear elliptic systems, Journal of Differential Equations, 166 (2000), 455-477
##[4]
R. Dalmasso, Existence and uniqueness of positive solutions of semilinear elliptic systems, Nonlinear Anal., 39 (2000), 559-568
##[5]
A. Djellit, S. Tas, On some nonlinear elliptic systems, Nonlinear Anal., 59 (2004), 695-706
##[6]
D. D. Hai, On a class of sublinear quasilinear elliptic problems, Proc. Amer. Math. Soc., 131 (2003), 2409-2414
##[7]
G. A. Afrouzi, S. H. Rasouli, A remark on the Nonexistence of positive solutions for some p-Laplacian Systems., Global J. Pure. Appl. Math., 2005 (2005), 197-201
]
Multiple Solutions for a Two-point Boundary Value Problem Depending on Two Parameters
Multiple Solutions for a Two-point Boundary Value Problem Depending on Two Parameters
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en
In this paper we deal with the existence of at least three weak solutions for a two-point
boundary value problem with Neumann boundary condition. The approach is based on variational methods and critical point theory.
117
125
Shapour
Heidarkhani
Javad
Vahidi
Three solutions
Critical point
Multiplicity results
Neumann problem.
Article.3.pdf
[
[1]
G. A. Afrouzi, S. Heidarkhani, Three solutions for a Dirichlet boundary value problem involving the p-Laplacian, Nonlinear Anal., 66 (2007), 2281-2288
##[2]
D. Averna, G. Bonanno, Three solutions for a Neumann boundary value problem involving the p-Laplacian, Le Matematiche, 60 (2005), 81-91
##[3]
R. I. Avery, J. Henderson, Three symmetric positive solutions for a second-order boundary value problem, Appl. Math. Lett., 13 (2000), 1-7
##[4]
G. Bonanno, Existence of three solutions for a two point boundary value problem, Appl. Math. Lett., 13 (2000), 53-57
##[5]
G. Bonanno, Multiple solutions for a Neumann boundary value problem, J. Nonlinear Convex Anal., 4 (2003), 287-290
##[6]
G. Bonanno, P. Candito, Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian, Arch. Math., 80 (2003), 424-429
##[7]
A. R. Miciano, R. Shivaji, Multiple positive solutions for a class of semipositone Neumann two point boundary value problems, J. Math. Anal. Appl., 178 (1993), 102-115
##[8]
M. Ramaswamy, R. Shivaji, Multiple positive solutions for classes of p-Laplacian equations, Differential and Integral Equations, 17 (2004), 1255-1261
##[9]
B. Ricceri, A three critical points theorem revisited, Nonlinear Anal., 70 (2009), 3084-3089
##[10]
B. Ricceri, Existence of three solutions for a class of elliptic eigenvalue problem, Math. Comput. Modelling, 32 (2000), 1485-1494
##[11]
B. Ricceri, On a three critical points theorem, Arch. Math., 75 (2000), 220-226
]
A Remark on Positive Solution for a Class of p,q-Laplacian Nonlinear System with Sign-changing Weight and Combined Nonlinear Effects
A Remark on Positive Solution for a Class of p,q-Laplacian Nonlinear System with Sign-changing Weight and Combined Nonlinear Effects
en
en
In this article, we study the existence of positive solution for a class of (p; q)- Laplacian
system \[
\begin{cases}
-\Delta_{p}u=\lambda a(x)f(u)h(v),\,\,\,\,\, x\in \Omega,\\
-\Delta_{p}v=\lambda b(x)g(u)k(v),\,\,\,\,\, x\in \Omega,\\
u=v=0,\,\,\,\,\, x\in \partial \Omega.
\end{cases}
\]
where \(\Delta_p\) denotes the p-Laplacian operator defined by \(\Delta_pz=div(|\nabla z|^{p-2} \nabla z), p>1,\Omega>0\)
is a parameter and \(\Omega\) is a bounded domain in \(R^N(N > 1)\) with smooth boundary \(\partial \Omega\). Here \(a(x)\) and \(b(x)\) are \(C^1\) sign-changing functions that maybe negative near the boundary and
\(f, g, k, h\) are \(C^1\) nondecreasing functions such that \(f; g; h; k : [0,\infty)\rightarrow [0,\infty) ; f(s), k(s),
h(s), g(s) > 0 ; s > 0\) and
\[\lim_{x\rightarrow \infty}\frac{h(A(g(x))^{\frac{1}{q-1}})(f(x))^{p-1}}{x^{p-1}}=0\]
for every \(A > 0\).
We discuss the existence of positive solution when \(h, k, f, g, a(x)\) and \(b(x)\) satisfy certain additional conditions. We use the method of sub-super solutions to establish our results.
126
134
S. H.
Rasouli
Z.
Halimi
Z.
Mashhadban
(p،q)- Laplacian system
Sign-changing weight.
Article.4.pdf
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M. Chhetri, S. oruganti, R. Shivaji, Existence results for a class of p-Laplacian problems with sign-changing weiht, Diff. Int. Equs., 18 (2005), 991-996
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R. Dalmasso, Existence and uniqueness of positive solutions of semilinear elliptic systems, Nonlinear Analysis: Theory, Methods & Applications, 39 (2000), 559-568
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J. Ali, R. Shivaji, M. Ramaswamy, Multiple positive solutions for a class of elliptic systems with combined nonlinear effects, Differential and Integral Equations, 19 (2006), 669-680
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D. D. Hai, R. Shivaji, An existence result on positive solutions for a class of semilinear elliptic systems, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 134 (2004), 137-141
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D. D. Hai, R. Shivaji, An existence result on positive solutions for a class of p-Laplacian systems, Nonlinear Analysis: Theory, Methods & Applications, 56 (2004), 1007-1010
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C. O. Alves, D. G. De Figueiredo, Nonvariational elliptic systems, Discr. Contin. Dyn. Systems-A, 8 (2002), 289-302
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G. A. Afrouzi, S. H. Rasouli, A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system, Nonlinear Analysis: Theory, Methods & Applications, 71 (2009), 445-455
##[17]
G. A. Afrouzi, S. H. Rasouli, A remark on the linearized stability of positive solutions for systems involving the p-Laplacian, Positivity, 11 (2007), 351-356
##[18]
A. Djellit, S. Tas, On some nonlinear elliptic systems, Nonlinear Analysis: Theory, Methods & Applications, 59 (2004), 695-706
##[19]
D. D. Hai, Uniqueness of positive solutions for a class of semilinear elliptic systems, Nonlinear Analysis: Theory, Methods & Applications, 52 (2003), 596-603
]
A New Analytical Approach to Solve Exponential Stretching Sheet Problem in Fluid Mechanics by Variational Iterative Pade Method
A New Analytical Approach to Solve Exponential Stretching Sheet Problem in Fluid Mechanics by Variational Iterative Pade Method
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en
In this article, we present a reliable combination of variational iterative method and Padé
approximants to investigate two dimensional exponential stretching sheet problem. The
proposed method is called variational iterative Pade´ method (VIPM). The method is
capable of reducing the size of calculation and easily overcomes the difficulty of
perturbation methods or Adomian polynomials. The results reveal that the VIPM is very
effective and is easy to apply.
135
144
Majid
Khan
Muhammad
Asif Gondal
Sunil
Kumar
Variational iterative method
Pade´ approximation
Exponential stretching sheet
Similarity transforms
Series solution.
Article.5.pdf
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[1]
G. Adomian, Solving frontier problems of physics: the decomposition method, Springer, Dordrecht (1994)
##[2]
M. M. Hosseini, Adomian decomposition method with Chebyshev polynomials, Appl. Math. Comput., 175 (2006), 1685-1693
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M. M. Hosseini, Numerical solution of ordinary differential equations with impulse solution, Appl. Math. Comput., 163 (2005), 373-381
##[4]
M. M. Hosseini, Adomian decomposition method for solution of differential-algebraic equations, J. Comput. Appl. Math., 197 (2006), 373-381
##[5]
M. M. Hosseini, Adomian decomposition method for solution of nonlinear differential algebraic equations, Appl. Math. Comput., 181 (2006), 1737-1744
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J. H. He, Homotopy perturbation technique, Comput. Meth. Appl. Mech. Eng., 178 (1999), 257-262
##[7]
J. H. He, A coupling method of a homotopy technique and a perturbation technique for non-linear problems, Int. J. Nonlin. Mech., 35 (2000), 37-43
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H. Jafari, M. Zabihi, M. Saidy, Application of Homotopy-Perturbation Method for Solving Gas Dynamics Equation, Appl. Math. Sci., 2 (2008), 2393-2396
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D. D. Ganji, The applications of He's homotopy perturbation method to nonlinear equation arising in heat transfer, Phy. Lett. A., 335 (2006), 337-3341
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Y. Khan, An Effective Modification of the Laplace Decomposition Method for Nonlinear Equations, Int. J. Nonlinear Sci. Numer. Simul., 10 (2009), 1373-1376
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M. Hussain, M. Khan, Modified Laplace Decomposition Method, Appl. Math. Sci., 4 (2010), 1769-1783
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M. Khan, M. Hussain, Application of Laplace decomposition method on semi infinite domain, Numer. Algor., 56 (2011), 211-218
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M. Khan, M. A. Gondal, New modified Laplace decomposition algorithm for Blasius flow equation, J. Adv. Res. Sci. Comput., 2 (2010), 35-43
##[15]
M. Khan, M. A. Gondal, A new analytical solution of foam drainage equation by Laplace decomposition method, J. Adv. Res. Diff. Eqs., 2 (2010), 53-64
##[16]
J. H. He, Approximate Analytical Solution for Seepage Flow with Fractional Derivatives in Porous Media, Comput. Meth. Appl. Mech. Eng., 167 (1988), 57-68
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J. H. He, X.-H.Wu, Variational iteration method: new development and applications, Comput. Math. Appl., 54 (2007), 881-894
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J. H. He, The variational iteration method for eighth-order initial-boundary value problems, Physica Scripta, 76 (2007), 680-682
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J. H. He, Variational iteration method-a kind of non-linear analytical technique: some examples, Int. J. Nonlin. Mech., 34 (1999), 699-708
##[20]
M. Hussain, M. Khan, A Variational Iterative Method for Solving the Linear and Nonlinear Klein-Gordon Equations , Appl. Math. Sci., 4 (2010), 1931-1940
##[21]
H. Jafari, A. Yazdani, J. Vahidi, D. D. Ganji, Application of He's Variational Iteration Method for Solving Seventh Order Sawada-Kotera Equations, Appl. Math. Sci., 2 (2008), 471-477
##[22]
H. Jafari, H. Tajadodi, He's Variational Iteration Method for Solving Fractional Riccati Differential Equation, Int. J. Diff. Eqs., 2010 (2010), 1-8
##[23]
H. Jafari, M. Zabihi, E. Salehpoor, Application of variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations, Numer. Meth. Part. Diff. Eqs., 26 (2010), 1033-1039
##[24]
H. Jafari, A. Alipoor, A new method for calculating general Lagrange multiplier in the variational iteration method, Numer. Meth. Part. Diff. Eqs., 27 (2011), 996-1001
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H. Jafari, A. Golbabaib, E. Salehpoorc, Kh. Sayehvandb, Application of Variational Iteration Method for Stefan Problem, Appl. Math. Sci., 2 (2008), 3001-3004
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G. A. Baker, Essentials of Padé Approximants, Academic Press, London (1975)
]
A Note on Non Linear Optimal Inventory Policy Involving Instant Deterioration of Perishable Items with Price Discounts
A Note on Non Linear Optimal Inventory Policy Involving Instant Deterioration of Perishable Items with Price Discounts
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en
This paper derives a non linear optimal inventory policy involving instant deterioration of perishable items with allowing price discounts. This paper postulates that the inventory policy of perishable items very much resembles that of price discounts. Such a parallel policy suggests that improvements to production systems may be achievable by applying price discounts to increase demand rate of the perishable items. This paper shows how discounted approach reduces to perfect results, and how the post deteriorated discounted EOQ model is a generalization of optimization. The objective of this paper is to determine the optimal price discount, the cycle length and the replenishment quantity so that the net profit is maximized. The numerical analyses show that an appropriate discounted pricing policy can benefit the retailer and that discounted pricing policy is important, especially for deteriorating items. Furthermore the instant post deteriorated price discount crisp economic order quantity (CEOQ) model is shown to be superior in terms of profit maximization. The sensitivity analysis of parameters on the optimal solution is carried out.
145
155
M.
Pattnaik
Discounted selling price
Instant deterioration
Constant demand
Inventory
Article.6.pdf
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K. Deb, Optimization for Engineering Design: Algorithms and Examples, Prentice-Hall, New Delhi (2000)
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P. M. Ghare, G. F. Schrader, A model for an exponentially decaying inventory, J. ind. Engng., 14 (1963), 238-243
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S. Bose, A. Goswami, K. S. Chaudhuri, An EOQ model for deteriorating items with linear time dependent demand rate and shortages under inflation and time discounting, Journal of Operational Research Society, 46 (1995), 771-782
##[5]
S. K. Goyal, B. C. Giri, Recent trends in modelling of deteriorating inventory, Eur. J. Oper. Res., 134 (2001), 1-16
##[6]
M. Y. Jaber, M. Bonney, M. A. Rosen, I. Moualek, Entropic order quantity (EnOQ) model for deteriorating items, Applied mathematical modelling, 33 (2009), 564-578
##[7]
M. J. Khouja, Optimal ordering, discounting and pricing in the single period problem, International Journal of Production Economics, 65 (2000), 201-216
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L. Liu, D. H. Shi, An (s. S) model for inventory with exponential lifetimes and renewal demands, Naval Research Logistics, 46 (1999), 39-56
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G. C. Mahata, A. Goswami, Production lot size model with fuzzy production rate and fuzzy demand rate for deteriorating item under permissible delay in payments, Opsearch, 43 (2006), 358-375
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S. Panda, S. Saha, M. Basu, An EOQ model for perishable products with discounted selling price and stock dependent demand, Central European Journal of Operations Research, 17 (2009), 31-53
##[12]
M. Pattnaik, An entropic order quantity model (EnOQ) under instant deterioration of perishable items with price discounts, International Mathematical Forum, 5 (2010), 2581-2590
##[13]
F. Raafat, Survey of Literature on continuously deteriorating inventory model, Journal of Operational Research Society, 42 (1991), 27-37
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N. H. Shah, Y. K. Shah, An EOQ model for exponentially decaying inventory under temporary price discounts, Cahiers du Centre d'études de recherche opérationnelle, 35 (1993), 227-232
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K. Skouri, I. Konstantaras, S. Papachristos, I. Ganas, Inventory models with ramp type demand rate, partial backlogging and weibull deterioration rate, Eur. J. Oper. Res., Vol. 192, 79--92, (2009)
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P. K. Tripathy, M. Pattnaik, An fuzzy arithmetic approach for perishable items in discounted entropic order quantity model, International Journal of Scientific and Statistical Computing, 1 (2011), 7-19
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P. K. Tripathy, M. Pattnaik, An entropic order quantity model with fuzzy holding cost and fuzzy disposal cost for perishable items under two component demand and discounted selling price, Pakistan Journal of Statistics and Operations Research, 4 (2008), 93-110
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]
Characterization the Deletable Set of Vertices in the (p-3)--Regular Graphs
Characterization the Deletable Set of Vertices in the (p-3)--Regular Graphs
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en
In this paper we characterized the ( p - 3 )- regular graphs which have a
3−deletable and a 4−deletable set of vertices.
156
164
Akram B.
Attar
reducibility
regular graphs
dominating set
and dominating number.
Article.7.pdf
[
[1]
B. Attar Akram, B. N. Waphare, Reducibility of Eulerian Graphs and Digraphs, Journal of Al-Qadisiyah for Pure Science, 13 (2008), 183-194
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G. Bordalo, B. Monjardet, Reducible classes of finite lattices, Order , 13 (1996), 379-390
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]
Quasi-Permutation Representations for the Borel and Maximal Parabolic Subgroups of \(Sp(4,2^n)\)
Quasi-Permutation Representations for the Borel and Maximal Parabolic Subgroups of \(Sp(4,2^n)\)
en
en
A square matrix over the complex field with non-negative integral trace is called a
quasi-permutation matrix.Thus every permutation matrix over C is a quasi-permutation
matrix . The minimal degree of a faithful representation of G by quasi-permutation
matrices over the complex numbers is denoted by c(G), and r(G) denotes the minimal
degree of a faithful rational valued complex character of G . In this paper c(G) and
r(G) are calculated for the Borel or maximal parabolic subgroups of \( SP(4,2^f)\) .
165
175
M.
Ghorbany
General linear group
Quasi-permutation.
Article.8.pdf
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[1]
H. Behravesh , Quasi-permutation representations of p-groups of class 2 , J. London Math. Soc., 55 (1997), 251-260
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M. R. Darafsheh, M. Ghorbany, A. Daneshkhah, H. Behravesh, Quasi-permutation representation of the group \(GL(2,q)\), Journal of Algebra , 243 (2001), 142-167
##[4]
M. R. Darafsheh, M. Ghorbany, Quasi-permutation representations of the groups \(SU (3, q^2)\) and \(PSU(3,q^2 ) \), Southest Asian Bulletin of Mathemetics, 26 (2003), 395-406
##[5]
M. R. Darafsheh, M. Ghorbany, Quasi-permutation representations of the groups \(SL(3,q)\) and \(PSL(3,q)\), Iranian Journal of Science and Technology Trans. A -Sci., 26 (2002), 145-154
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H. Enomoto, The characters of the finite symplectic group \(SP(4, q), q = 2^f\), Osaka J. Math., 9 (1972), 75-94
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M. Ghorbany, Special representations of the group \(G_2(2^n)\) with minimal degrees, Southest Asian Bulletin of Mathemetics , 30 (2006), 663-670
##[8]
W. J. Wong, Linear groups analogous to permutation groups, J. Austral. Math. Soc. (Sec. A), 3 (1963), 180-184
]
On the Determination of Asymptotic Formula of the Nodal Points for Differential Pencils with Separated Boundary Conditions
On the Determination of Asymptotic Formula of the Nodal Points for Differential Pencils with Separated Boundary Conditions
en
en
In this work, we solve the inverse nodal problem for the diffusion
operator on a finite interval with separated boundary conditions. We investigation
the oscillation of the eigenfunctions and derive an asymptotic formula for the nodal
points. Uniqueness theorem is proved, and a constructive procedure for the solution
is provided.
176
178
A.
Dabbaghian
Sh.
Akbarpoor
Differential pencils
Eigenvalues
Eigenfunctions
Nodal Points.
Article.9.pdf
[
[1]
S. A. Buterin, C. T. Shieh, Inverse nodal problem for differential pencils, Appl. Math. Lett., 22 (2009), 1240-1247
##[2]
H. Koyunbakan, A new inverse problem for the diffusion operator, Appl. Math. Lett., 19 (2006), 995-999
]
Fourth Order Volterra Integro-Differential Equations Using Modifed Homotopy-Perturbation Method
Fourth Order Volterra Integro-Differential Equations Using Modifed Homotopy-Perturbation Method
en
en
This paper compare modified homotopy perturbation method with the exact
solution for solving Fourth order Volterra integro-differential equations. From the computational viewpoint, the modified homotopy perturbation method is more efficient and easy
to use.
179
191
G. A.
Afrouzi
D. D.
Ganji
H.
Hosseinzadeh
R. A.
Talarposhti
Fourth order integro-differential equations
modification of homotopy-perturbation method (MHPM)
Nonlinear
exact solution
boundary value problems(BVP).
Article.10.pdf
[
[1]
D. D. Ganji, G. A. Afrouzi, H. Hosseinzadeh, R. A. Talarposhti, Application of Hmotopy- perturbation method to the second kind of nonlinear integral equations, Physics Letters A, Vol. 371, 20--25, (2007)
##[2]
D. D. Ganji, A. Sadighi, Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations, International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 7, 411--418, (2006)
##[3]
D. D. Ganji, A. Rajabi, Assessment of homotopy-perturbation and perturbation methods in heat radiation equations, International Communications in Heat and Mass Transfer, 33 (2006), 391-400
##[4]
D. D. Ganji, M. Rafei, Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method, Physics Letters A, 356 (2006), 131-137
##[5]
J. H. He, Homotopy perturbation technique, Comput. Methods Appl. Mech. Eng., 178 (1999), 257-262
##[6]
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J. H. He, Variational iteration method: a kind of nonlinear analytical technique: some examples, Int. J. Non-Linear Mech., 34 (1999), 699-708
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J. H. He, Variational iteration method for autonomous ordinary differential systems , Appl. Math. Comput., 114 (2000), 115-123
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J. H. He, X. H. Wu, Construction of solitary solution and compacton-like solution by variational iteration method, Chaos Solitons Fractals, 29 (2006), 108-113
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M. El-Shahed, Application of He's homotopy perturbation method to Volterra's integro-differential equation, Int. J. Nonlinear Sci. Numer. Simul., 6 (2005), 163-168
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J. H. He, Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B, 20 (2006), 1141-1199
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J. H. He, A review on some new recently developed nonlinear analytical techniques, Int. J. Nonlinear Sci. Numer. Simul., 1 (2000), 51-70
##[17]
S. Abbasbandy, Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method, Appl. Math. Comput., 173 (2006), 493-500
##[18]
S. Abbasbandy, Application of He's homotopy perturbation method to functional integral equations, Chaos Solitons Fractals, 31 (2007), 1243-1247
##[19]
S. Abbasbandy, Application of He's homotopy perturbation method for Laplace transform, Chaos Solitons Fractals, 30 (2006), 1206-1212
##[20]
J. H. He, Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons Fractals, 26 (2005), 695-700
##[21]
J. H. He, The homotopy perturbation method for nonlinear oscillators with discontinuities,, Appl. Math. Comput., 151 (2004), 287-292
##[22]
J. H. He, Comparison of homotopy perturbation method and homotopy analysis method, Appl. Math. Comput., 156 (2004), 527-539
##[23]
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]
Solving Time Constrained Vehicle Routing Problem Using Hybrid Genetic Algorithm
Solving Time Constrained Vehicle Routing Problem Using Hybrid Genetic Algorithm
en
en
Vehicle Routing Problem with Time windows (VRPTW) is an example of scheduling in constrained environment. It is a well known NP hard combinatorial scheduling optimization problem in which minimum number of routes have to be determined to serve all the customers within their specified time windows. So far different analytic and heuristic approaches have been tried to solve such problems. In this paper we proposed algorithms which incorporate new local search techniques with genetic algorithm approach to solve VRPTW scheduling problems in various scenarios.
192
201
Bhawna
Minocha
Saswati
Tripathi
Genetic algorithm
heuristics based search techniques
vehicle routing problem with time windows
case- study
Article.11.pdf
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[1]
J. Berger, M. Barkaoui, A parallel hybrid genetic algorithm for the vehicle routing problem with time windows, Computer Operation Research, 31 (2004), 2037-2053
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]
Mathematical Modeling of Corrosion Phenomenon in Pipelines
Mathematical Modeling of Corrosion Phenomenon in Pipelines
en
en
The annual cost of corrosion worldwide is over 3% of the world’s GDP. There are hundreds of thousands of kilometers of pipelines in various sectors of industry, which include many uncoated pipelines in chemical manufacturing plants, interstate natural gas transmission lines, and offshore oil-and-gas production pipelines. Mathematical modeling is richly endowed with many analytic computational techniques for analyzing real life situations. This paper reviewed that the predictive models on corrosion rate for natural gas pipeline. These models were selected based on the thermodynamic properties of the fluid and the developed rate is plotted against various operating conditions.
202
211
M. R. Sarmasti
Emami
Iran University of Science & Technology
Mathematical models
Corrosion rate
Pipeline
Article.12.pdf
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M. R. Sarmasti Emami, M. Nematti, M. Zahedi, Z. Jamal Ara, Causes of Corrosion the Air Preheater in Neka Power Plant, The 9th Iranian Biennial Electrochemistry Conference, 22-24 Jan, Yazd , Iran, (2011), 1-145
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]
Modification of the Homotopy Perturbation Method for Numerical Solution of Nonlinear Wave and System of Nonlinear Wave Equations
Modification of the Homotopy Perturbation Method for Numerical Solution of Nonlinear Wave and System of Nonlinear Wave Equations
en
en
In this paper, the modification of the homotopy perturbation method (MHPM) Zaid M. Odibat (Appl. Math. Comput. 2007 ) is extended to derive approximate solutions of the nonlinear coupled wave equations. This work will present a numerical comparison between the modification and the homotopy perturbation method (HPM). In order to show the ability and reliability of the method some examples are provided. The results reveal that the method is very effective and simple. The modified method accelerates the rapid convergence of the series solution and reduces the size of work.
212
224
B.
Ghazanfari
A. G.
Ghazanfari
M.
Fuladvand
Homotopy purturbation method
Nonlinear differential equations
Modified homotopy perturbation method
Homotopy purturbation method
Nonlinear differential equations
Modified homotopy perturbation method
Article.13.pdf
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[1]
J. H. He, An approximate solution technique depending on an artificial parameter: A special example, Commun. Nonlinear Sci. Numer. Simul., 3 (1998), 92-97
##[2]
S. Abbasbandy, Iterated He's homotopy perturbation method for quadratic Riccati differential equation, Appl. Math. Comput., 175 (2006), 581-589
##[3]
S. Abbasbandy, Application of He's homotopy perturbation method to functional integral equations, Chaos Solitons Fractals, 31 (2007), 1243-1247
##[4]
J. H. He, Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons Fractals, 26 (2005), 695-700
##[5]
D. D. Ganji, A. Sadighi, Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations, Int. J. Nonlinear Sci. Numer. Simul., 7 (2006), 411-418
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H. Jafari, M. Zabihi, M. Saidy, Application of homotopy perturbation method for solving gas dynamics equation, Appl. Math. Sci., 2 (2008), 2393-2396
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M. Javidi, A. Golbabai, A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method, Appl. Math. Comput., 189 (2007), 1921-1928
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J. I. Ramos, Piecewise homotopy methods for nonlinear ordinary differential equations, Appl. Math. Comput., 198 (2008), 92-116
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Q. Wang, Homotopy perturbation method for fractional KdV equation, Appl. Math. Comput., 190 (2007), 1795-1802
##[11]
Z. M. Odibat, A new modification of the homotopy perturbation method for linear and nonlinear operators, Appl. Math. Comput., 189 (2007), 749-753
##[12]
M. Ghasemi, M. T. Kajani, A. Davari, Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method, Appl. Math. Comput., 189 (2007), 341-345
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P. Roul, P. Meyer, Numerical solutions of systems of nonlinear integro-differential equations by Homotopy-perturbation method, Appl. Math. Model., 35 (2011), 4234-4242
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J. Singh, P. K. Gupta, K. N. Rai, Homotopy perturbation method to space–time fractional solidification in a finite slab, Appl. Math. Model., 35 (2011), 1937-1945
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K. A. Gepreel, The homotopy perturbation method applied to the nonlinear fractional Kolmogorov–Petrovskii–Piskunov equations, Appl. Math. Letters, 24 (2011), 1428-1434
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]
Numerical Solution for Maxwells Equation in Metamaterials by Homotopy Analysis Method
Numerical Solution for Maxwells Equation in Metamaterials by Homotopy Analysis Method
en
en
In this paper, the Homotopy analysis Method (HAM) is applied to the Maxwell system.
The HAM yields an analytical solution in terms of a rapidly convergent infinite power
series with easily computable terms.
225
235
A.
Zare
M. A.
Firoozjaee
Homotopy analysis Method
Maxwell system
Article.14.pdf
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[1]
G. Adomian , Coupled Maxwell Equations for Electromagnetic Scattering, Applied Mathemathics and Compution, 77 (1996), 133-135
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J. H. He, Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B, 20 (2006), 1141-1199
##[4]
J. Li, Numerical convergence and physical fidelity analysis for Maxwell's equations in metamaterials, Comput. Methods Appl. Mech. Engrg., 198 (2009), 3161-3172
##[5]
H. Jafari, M. Saeidy, M. A. Firoozjaee, The Homotopy Analysis Method for Solving Higher Dimensional Initial Boundary Value Problems of Variable Coefficients, Numerical Methods for Partial Differential Equations, Numerical Methods for Partial Differential Equations, 26 (2010), 1021-1032
##[6]
H. Jafari, M. A. Firoozjaee , Multistage Homotopy Analysis Method for Solving Nonlinear Integral Equations, Appl. Appl. Math. Int. J., 1 (2010), 34-35
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]
Estimating the Average Worth of a Subset Selected from Binomial Populations
Estimating the Average Worth of a Subset Selected from Binomial Populations
en
en
Suppose \(\overline{X}=(\overline{X}_1,...\overline{X}_p), (p\geq 2)\); where \(\overline{X}_i\)represents the mean of a random sample of size
ni drawn from binomial \(bin(1,\theta_i)\) population. Assume the parameters \(\theta_1,...,\theta_p\) are unknown
and the populations \(bin(1,\theta_1),...,bin(1,\theta_p)\) are independent. A subset of random size is
selected using Gupta's (Gupta, S. S. (1965). On some multiple decision(selection and ranking)
rules. Technometrics 7,225-245) subset selection procedure. In this paper, we estimate of the
average worth of the parameters for the selected subset under squared error loss and normalized
squared error loss functions. First, we show that neither the unbiased estimator nor the risk-
unbiased estimator of the average worth (corresponding to the normalized squared error loss
function) exist based on a single-stage sample. Second, when additional observations are
available from the selected populations, we derive an unbiased and risk-unbiased estimators of
the average worth and also prove that the natural estimator of the average worth is positively
biased. Finally, the bias and risk of the natural, unbiased and risk-unbiased estimators are
computed and compared using Monti Carlo simulation method.
236
245
Riyadh
Al-Mosawi
binomial populations
selected subset
average worth estimation
Article.15.pdf
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R. Al-Mosawi, P. Vellaisamy, A. Shanubhogue, Risk-Unbiased estimation of the selected subset of Poisson populations, Journal of Indian Statistical Association, Vol. 49, (2011)
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R. R. Al-Mosawi, A. Shanubhogue, P. Vellaisamy, Average worth estimation of the selected subset of Poisson populations, Statistitcs, 46 (2012), 813-831
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J. D. Gibbons, I. Olkin, M. Sobel, Selecting and ordering populations: a new statistical methodology.Society for Industrial and Applied Mathematics (SIAM), SIAM, Philadelphia (1999)
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S. S. Gupta, On some multiple decision (selection and ranking) rules, Technometrics, 7 (1965), 225-245
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]
A Remark on the Coupled Fixed Point Theorems for Mixed Monotone Operators in Partially Ordered Metric Spaces
A Remark on the Coupled Fixed Point Theorems for Mixed Monotone Operators in Partially Ordered Metric Spaces
en
en
We present a coupled fixed point theorems for mixed monotone operators in partially ordered
metric spaces.
246
261
S. H.
Rasouli
M.
Bahrampour
Coupled fixed point
Partially ordered set
Mixed monotone operators.
Article.16.pdf
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A. Amini-Harandi, H. Emami, A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations, Nonlinear Analysis: Theory, Methods & Applications, 72 (2010), 2238-2242
##[2]
J. Harjani, B. Lpez, K. Sadarangani, Fixed point theorems for mixed monotone operators and applications to integral equations, Nonlinear Analysis: Theory, Methods & Applications, 74 (2011), 1749-1760
##[3]
T. G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaced and applications, Nonlinear Analysis: Theory, Methods & Applications, 65 (2006), 1379-1393
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R. P. Argarwal, M. A. El-Gebeily, D. O'Regan, Generalized contraction in partially ordered metric spaces, Appl. Anal., 87 (2008), 109-116
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D. Burgić, S. Kalabušić, M. R. S. Kulenović, Global attractivity results for mixed monotone mappings in partially ordered complete metric spaces, Fixed Point Theory Appl., 17 pages, (2009)
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L. Ciric, N. Cakid, M. Rajovic, J. S. Ume, Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Ponit Theory Appl., 11 pages, (2008)
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J. Harjani, K. Sadarangani, Fixed point theorems for weakly contractive mapings in partially ordered sets, Nonlinear Analysis: Theory, Methods & Applications, 71 (2009), 3403-3410
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J. Harjani, K. Sadarangani, Generalized contraction in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Analysis: Theory, Methods & Applications, 72 (2010), 1188-1197
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J. Harjani, K. Sadarangani, Fixed Point Theorems for Mappings satisfying a condition of integral type in partially ordered set, Journal of Convex Analysis, Vol. 17, 597--609, (2010)
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V. Lakshmikantham, L. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. , 70 (2009), 4341-4349
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J. J. Nieto, R. Rodriguez-Lopez, Existence of extremal solutions for quadratic fuzzy equations, Fixed Point Theory Appl., 2005 (2005), 321-342
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J. J. Nieto, R. Rodriguez-Lopez, Contractive mappings theorem in partially ordered sets and applications to ordinary differential equations, Order, 22 (2005), 223-239
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J. J. Nieto, R. Rodriguez-Lopez, Applications of contractive-like mapping principles to fuzzy equations, Rev. Math. Complut., 19 (2006), 361-383
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J. J. Nieto, R. L. Pouso, R. Rodriguez-Lopez, Fixed point theorems in ordered abstract spaces, Proc. Amer.Math. Soc., 135 (2007), 2505-2517
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J. J. Nieto, R. Rodriguez-Lopez, Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations, Acta Math. Sinica, 23 (2007), 2205-2212
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D. O'Regan, A. Petrusel, Fixed point theorems for generalized contraction in oerdered metric spaces, J. Math. Anal. Appl., 341 (2008), 1241-1252
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A. Petrusel, I. A. Rus, Fixed point theorems in ordered L-spaces, Proc. Amer. Math. Soc., 134 (2006), 411-418
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A. C. M. Ran, M. C. B. Reurings, A fixed point theorems in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc., 132 (2004), 1432-1443
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Z. Drici, F. A. Mcrae, J. V. Devi, Fixed point theorems in partially ordered metric spaces for operators with PPF dependence, Nonlinear Analysis: Theory, Methods & Applications, 7 (2007), 641-647
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Y. Wu, New fixed point theorems and applications of mixed monotone operator, J.Math. Anal. Appl., 341 (2008), 883-393
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A. Cabada, J. J. Nieto, Fixed point and approximate solutions for nonlinear operator equations, J. Comput. Appl. Math., 113 (2000), 17-25
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]
The Nehari Manifold for a Quasilinear Elliptic Equation with Singular Weights and Nonlinear Boundary Conditions
The Nehari Manifold for a Quasilinear Elliptic Equation with Singular Weights and Nonlinear Boundary Conditions
en
en
Using the technique of Brown and Wu [11]; we present a note on the paper [22] by Wu.
Indeed, we extend the multiplicity results for a class of semilinear problems to the quasilinear
elliptic problems with singular weights of the form:
\[
\begin{cases}
-div(|x|^{-ap}|\nabla u|^{p-2}\nabla u)\lambda|x|^{-(a+1)p+c}f(x)|u|^{q-2}u,\,\,\,\,\, x\in \Omega,\\
|\nabla u|^{p-2} \frac{\partial u}{\partial n}=|x|^{-(a+1)p+c}g(x)|u|^{r-2}u,
\,\,\,\,\, x\in \partial \Omega.
\end{cases}
\]
Here \(0\leq a<\frac{N-p}{p}, c\) is a positive parameter, \(1 < q < p < r < p*(p* = \frac{pN}{N-p}\) if \(N > p,
p* =\infty\) if \(N \leq p), \Omega\subset R^N\) is a bounded domain with smooth boundary, \(\frac{\partial }{\partial n}\) is the outer
normal derivative, \(\lambda\in R-{0}\); and \(f(x); g(x)\) are continuous functions which change sign
in \(\overline{\Omega}\).
262
277
S. H.
Rasouli
K.
Fallah
Quasilinear elliptic problem
Singular weights
Nehari manifold
Nonlinear boundary condition.
Article.17.pdf
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[1]
C. O. Alves, A. El Hamidi, Nehari manifold and existence of positive solutions tob a class of quasilinear problems, Nonlinear Analysis: Theory, Methods & Applications, 60 (2005), 611-624
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A. Ambrosetti, H. Brezis, G. Cerami, Combined effects of concave and convex nonlinearities in some elliptic problems, J. Funct. Anal., 122 (1994), 519-543
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H. Amman, J. Lopez-Gomez, A priori bounds and multiple solution for superlinear indefinite elliptic problems, J. Differential Equations, 146 (1998), 336-374
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