A vector version of Krasnosel'skii's fixed point theorem in cones and positive periodic solutions of nonlinear systems

被引：50

作者：

Precup, Radu ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2007年 / 2卷 / 01期

关键词：

Fixed point; cone; positive solution; differential system; periodic solution;

D O I：

10.1007/s11784-007-0027-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new version of Krasnosel'skii's fixed point theorem in cones is established for systems of operator equations, where the compression-expansion conditions are expressed on components. In applications, this allows the nonlinear term of a system to have different behaviors both in components and in variables.

引用

页码：141 / 151

页数：11

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