EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS

被引：0

作者：

Cheng, Xiyou ^{[1
,2
]}

Zhang, Zhitao ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China

[2] Nanjing Audit Univ, Dept Appl Math, Nanjing 210029, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2009年 / 34卷 / 02期

关键词：

Positive solution; Hammerstein integral equations; fixed point index; product cone;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we axe concerned with existence of positive solutions for systems of nonlinear Hammerstein integral equations, in which one nonlinear term is superlinear and the other is sublinear. The discussion is based on the product formula of fixed point index on product cone and fixed point index theory in cones. As applications, we consider existence of positive solutions for systems of second-order ordinary differential equations with different boundary conditions.

引用

页码：267 / 277

页数：11

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