Multiplicity of solutions for second-order impulsive differential equations with Sturm-Liouville boundary conditions

Advances in Difference Equations

Zhiguo Luo¹  Jian Liu¹  Lizhao Yan² 

[1] Department of Mathematics, Hunan Normal University, Changsha, P.R. China;Press, Hunan Normal University, Changsha, P.R. China

关键词: variational methods;    impulsive differential equations;    boundary value problem;   

DOI  :  10.1186/1687-1847-2014-49

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we use variational methods to investigate the solutions of impulsive differential equations with Sturm-Liouville boundary conditions. The conditions for the existence and multiplicity of solutions are established. The main results are also demonstrated with examples.

【 授权许可】

CC BY