Fixed-point theorems for nonlinear operators with singular perturbations and applications

Journal of inequalities and applications

Baoqiang Yan¹ 

关键词: boundary value problems;    singularity;    fixed-point index;   

DOI  :  10.1186/1029-242X-2014-37

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application we consider the existence and multiplicity of positive solutions of singular systems of multi-point boundary value problems, which improve the results in the literature.

【 授权许可】

CC BY