Three solutions to impulsive differential equations involving p -Laplacian

Advances in Difference Equations

Jingli Xie¹  Yuhua Zeng² 

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

关键词: impulsive differential equations;    critical point theorem;    Neumann boundary value problem;    34B15;    34B18;    34B37;    58E30;   

DOI  :  10.1186/s13662-015-0440-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of three solutions of Neumann boundary value problems for impulsive differential equations depending on a parameter λ. We find the range of the control parameter in which the system admits at least three solutions by using an existing three critical points theorem. An example is also given to illustrate our results.

【 授权许可】

CC BY