Existence of solutions of a second-order impulsive differential equation

Advances in Difference Equations

Guoping Chen¹  Jingli Xie¹  Zhiguo Luo² 

[1] College of Mathematics and Statistics, Jishou University, Jishou, P.R. China;Department of Mathematics, Hunan Normal University, Changsha, P.R. China

关键词: impulsive differential equation;    critical point theory;    existence of solutions;   

DOI  :  10.1186/1687-1847-2014-118

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of solutions of a second-order impulsive differential equation with mixed boundary condition. We obtain sufficient conditions for the existence of a unique solution, at least one solution, at least two solutions and infinitely many solutions, respectively, by using critical point theorems. The main results are also demonstrated with examples. MSC:34B15, 34B18, 34B37, 58E30.

【 授权许可】

CC BY