Multiplicity of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions

Boundary value problems

Chenxing Zhou¹  Sihua Liang¹  Fenghua Miao¹ 

[1] College of Mathematics, Changchun Normal University, Changchun, P.R. China

关键词: impulsive effects;    variational methods;    Dirichlet boundary value problem;    critical points;   

DOI  :  10.1186/1687-2770-2013-200

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the existence of solutions for nonlinear impulsive differential equations with Dirichlet boundary conditions. Infinitely many solutions are obtained by using a version of the symmetric mountain-pass theorem, and this sequence of solutions converge to zero. Some recent results are extended. MSC:34B37, 35B38.

【 授权许可】

CC BY