Positive Solutions of Multi-Point Boundary Value Problems for Second Order Impulsive Differential Equations with Deviating Arguments

被引：1

作者：

Wang W. ^{[1
]}

Chen X. ^{[1
]}

机构：

[1] Department of Mathematics, Hunan University of Science and Technology

来源：

Differential Equations and Dynamical Systems | 2011年 / 19卷 / 4期

关键词：

Fixed point; Impulsive differential equations; Multi-point boundary value problems; Positive solution;

D O I：

10.1007/s12591-011-0098-y

中图分类号：

学科分类号：

摘要：

In this article, we discuss the nonlinear multi-point boundary value problems for second order impulsive differential equations. Some sufficient conditions for the existence and nonexistence of positive solutions are proposed by using fixed point theorem in a cone. © 2011 Foundation for Scientific Research and Technological Innovation.

引用

页码：375 / 387

页数：12

共 17 条

[1]

Agarwal R.P., O'Regan D., A multiplicity result for second order impulsive differential equations via the Leggett-Williams fixed point theroem, Appl. Math. Comput., 161, pp. 433-439, (2005)

[2]

Ding W., Mi J., Han M., Periodic boundary value problems for the first order impulsive functional differential equations, Appl. Math. Comput., 165, pp. 443-456, (2005)

[3]

Eloe P.W., Ahmad B., Positive solutions of a nonlinear n-th order boundary value problem with nonlocal conditions, Appl. Math. Lett., 18, pp. 521-527, (2005)

[4]

Feng M., Xie D., Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations, J. Comput. Appl. Math., 223, pp. 438-448, (2009)

[5]

Guo D., Lakshmikantham V., Nonlinear Problems in Abstract Cones, (1988)

[6]

Gupta C., A generalized multi-point boundary value problem for second order ordinary differential equations, Appl. Math. Comput., 89, pp. 133-146, (1998)

[7]

Jankowski T., Positive solutions of three-point boundary value problems for second order impulsive differential equations with advanced arguments, Appl. Math. Comput., 197, pp. 179-189, (2008)

[8]

Jankowski T., Positive solutions to second order four-point boundary value problems for impulsive differential equations, Appl. Math. Comput., 202, pp. 550-561, (2008)

[9]

Ji Y., Guo Y., The existence of countably many positive solutions for some nonlinear nth order m-point boundary value problems, J. Comput. Appl. Math., 232, pp. 187-200, (2009)

[10]

Li J., Shen J., Periodic boundary value problems for second order differential equations with impulses, Nonlinear Stud., 12, 4, pp. 391-400, (2005)

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