The existence of solutions of periodic BVP for second order impulsive differential equations

Journal of inequalities and applications

Jingli Xie¹ 

关键词: critical point theorem;    impulsive equations;    boundary value problem;   

DOI  :  10.1186/1029-242X-2013-406

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of solutions of periodic boundary value problems for impulsive differential equations depending on a parameter λ. By employing an existing critical point theorem, we find the range of the control parameter in which the boundary value problem admits at least one non-zero weak solution. An example illustrates our results. MSC:34B15, 34B18, 34B37, 58E30.

【 授权许可】

CC BY