Existence of positive solutions for a singular semipositone differential system with nonlocal boundary conditions

Boundary value problems

Zhaocai Hao¹  Huihui Liu¹ 

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

关键词: positive solutions;    semipositone;    nonlocal nonlinear boundary condition;    coupled system of boundary value;   

DOI  :  10.1186/s13661-016-0709-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we consider the existence of at least one positive solution to a class of singular semipositone coupled system of nonlocal boundary value problems. We show that the system possesses at least one positive solution by using fixed point index theory. We remark that to some extent our systems and results generalize and extend some previous works.

【 授权许可】

CC BY