Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters

Boundary value problems

Li Huang¹  Qiming Zhang¹  Yulin Zhao¹ 

[1] School of Science, Hunan University of Technology, Zhuzhou, P.R. China

关键词: impulsive effects;    Sturm-Liouville boundary value problem;    variational methods;    fourth-order;   

DOI  :  10.1186/s13661-015-0418-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a class of fourth-order impulsive differential equations depending on two control parameters is investigated. The existence and multiplicity of solutions are obtained by means of the variational methods and the critical point theory. Finally, an example which supports our theoretical results is also presented.

【 授权许可】

CC BY