Existence results for a kind of fourth-order impulsive integral boundary value problems

Boundary value problems

Yepeng Xing¹  Meng Sun¹ 

[1] Department of Mathematics, Shanghai Normal University, Shanghai, P.R. China

关键词: fourth order;    impulsive;    integral boundary conditions;   

DOI  :  10.1186/s13661-016-0580-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we investigate the existence of solutions to a kind of fourth-order impulsive differential equations with integral boundary value conditions. By employing the Schauder fixed point theorem, we obtain sufficient conditions which ensure the system has at lease one solution. Also by using the contraction mapping theorem we get the uniqueness result. Finally an example is given to illustrate the effectiveness of our results.

【 授权许可】

CC BY