Impulsive integral BVP for nonlinear integro-differential equation with monotone homomorphism in Banach spaces

Boundary value problems

Kaihong Zhao¹  Kun Wang² 

[1] Department of Applied Mathematics, Kunming University of Science and Technology, Kunming, People’s Republic of China

关键词: integral boundary value problems;    impulsive integro-differential equation;    monotone homomorphism;    fixed point index theory;    Banach spaces;   

DOI  :  10.1186/s13661-016-0710-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a class of integral boundary value problems for nonlinear third-order impulsive integro-differential equation with a monotone homomorphism in real Banach space. By employing fixed point index theory, some sufficient criteria are obtained to ensure the existence of positive solutions. An example is given to demonstrate the application of our main results.

【 授权许可】

CC BY