Positive solutions for the singular nonlocal boundary value problems involving nonlinear integral conditions

Boundary value problems

Baoqiang Yan¹ 

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

关键词: nonlocal boundary conditions;    positive solution;    fixed point index;   

DOI  :  10.1186/1687-2770-2014-38

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, using the theory of fixed point index on a cone and the Leray-Schauder fixed point theorem, we present the multiplicity of positive solutions for the singular nonlocal boundary-value problems involving nonlinear integral conditions and the existence of at least one positive solution for the singular nonlocal boundary-value problems with sign-changed nonlinearities. MSC:34B10, 34B15, 34B18.

【 授权许可】

CC BY