New results of positive solutions for secondorder nonlinear threepoint integral boundary value problems
Authors
Zhijian Yao
 Department of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China.
Abstract
In this paper, we investigate the existence of positive solutions for secondorder nonlinear threepoint integral
boundary value problems. By using the LeraySchauder fixed point theorem, some sufficient conditions
for the existence of positive solutions are obtained, which improve the results of literature Tariboon and
Sitthiwirattham [J. Tariboon, T. Sitthiwirattham, Boundary Value Problems, 2010 (2010), 111].
Share and Cite
ISRP Style
Zhijian Yao, New results of positive solutions for secondorder nonlinear threepoint integral boundary value problems, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 2, 9398
AMA Style
Yao Zhijian, New results of positive solutions for secondorder nonlinear threepoint integral boundary value problems. J. Nonlinear Sci. Appl. (2015); 8(2):9398
Chicago/Turabian Style
Yao, Zhijian. "New results of positive solutions for secondorder nonlinear threepoint integral boundary value problems." Journal of Nonlinear Sciences and Applications, 8, no. 2 (2015): 9398
Keywords
 Positive solution
 nonlinear threepoint integral boundary value problems
 LeraySchauder fixed point theorem.
MSC
References

[1]
Z. J. Du, W. G. Ge, X. J. Lin, Existence of solutions for a class of thirdorder nonlinear boundary value problems, J. Math. Anal. Appl., 294 (2004), 104112.

[2]
Y. Q. Feng, S. Y. Liu, Solvability of a thirdorder twopoint boundary value problem, Appl. Math. Letters, 18 (2005), 10341040.

[3]
V. A. Il'in, E. I. Moiseev, Nonlocal boundary value problem of the first kind for a SturmLiouville operator in its differential and finite difference aspects, Differential Equations, 23 (1987), 803810.

[4]
V. A. Il'in, E. I. Moiseev, Nonlocal boundary value problem of the first kind for a SturmLiouville operator, Differential Equations, 23 (1987), 979987.

[5]
J. R. Graef, C. Qian, B. Yang, A three point boundary value problem for nonlinear fourth order differential equations, J. Math. Anal. Appl., 287 (2003), 217233.

[6]
J. R. Graef, B. Yang, Positive solutions to a multipoint higher order boundary value problem, J. Math. Anal. Appl., 316 (2006), 409421.

[7]
A. Granas, J. Dugundji , Fixed point theory, SpringerVerlag, New York (2003)

[8]
C. P. Gupta, Solvability of threepoint nonlinear boundary value problem for a second order ordinary differential equation, J. Math. Anal. Appl., 168 (1992), 540551.

[9]
B. Liu, Positive solutions of a nonlinear fourpoint boundary value problem, Appl. Math. Comput., 155 (2004), 179203.

[10]
J. Tariboon, T. Sitthiwirattham, Positive solutions of a nonlinear threepoint integral boundary value problem, Boundary Value Problems, 2010 (2010), 111.

[11]
J. R. L. Webb, Positive solutions of some threepoint boundary value problems via fixed point index theory, Nonlinear Anal., 47 (2001), 43194332.

[12]
Y. M. Zhou, Y. Xu, Positive solutions of threepoint boundary value problems for systems of nonlinear second order ordinary differential equations, J. Math. Anal. Appl., 320 (2006), 578590.