Solution of Impulsive Differential Equations with Boundary Conditions in Terms of Integral Equations
- Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
In this article, we indroduce solution of impulsive differential equations with boundary
conditions by using vareational interation method (VIM) in terms of integral equations. For
finding the above solution, at first we obtian a solve for differential equations with boundary
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Mohsen Rabbani, Solution of Impulsive Differential Equations with Boundary Conditions in Terms of Integral Equations, Journal of Mathematics and Computer Science, 11 (2014), no. 4, 309 - 318
Rabbani Mohsen, Solution of Impulsive Differential Equations with Boundary Conditions in Terms of Integral Equations. J Math Comput SCI-JM. (2014); 11(4):309 - 318
Rabbani, Mohsen. "Solution of Impulsive Differential Equations with Boundary Conditions in Terms of Integral Equations." Journal of Mathematics and Computer Science, 11, no. 4 (2014): 309 - 318
M. A. Abdou, A. A. Soliman, Variational iteration method for solving Burger's and coupled Burger's equations, J.comput.Appl.Math, 181 (2005), 245-251.
J. Biazar, H. Ghazvini, he's variational iteration method for solving linear and nonlinear systems of ordinary differential equations, Applied mathematics and computation, 191 (2007), 287-297.
M. Dehghan, M. Tatari, the use of He's variational iteration method for solving the Fokker- Planck equation, Phys.scripta, 74 (2006), 310-316.
D. Guo, X. Liu, Extremal solutions of nonlinear impulsive integro-differential equations in Banach Spaces, J. Math. Appl., 177 (1993), 538-552.
J. H. He, variational iteration method for nonlinear and it's applications, Mechanics and practice, 20, (1) (1998), 30-32
J. H. He, variational iteration method - a kind of nonlinear analytical technique:Some examples, Int.Journal of Nonlinear Mechanics, 34 (1999), 699-708.
M. Inokuti, general use of the Lagrange multiplier in in nonlinear mathematical physics, in: S.Nemat-nasser(Ed.), Variational Method in Mechanics of solids, Progamon press, oxford, (1978), 156-162.
X. Liu, Monotone iterative technique for impulsive differential equations in a Banach space, J. Math. Phy. Sci. , 24 (1990), 183-191.