Existence of a non-zero fixed point for nondecreasing operators proved via Krasnoselskii's fixed point theorem

被引：16

作者：

Cabada, Alberto ^{[1
]}

Angel Cid, Jose ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Dept Anal Matemat, Fac Matemat, Santiago De Compostela 15782, Spain

[2] Univ Jaen, Dept Matemat, Jaen 23071, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

Krasnoselskii's fixed point theorem on cone expansions; Non-zero fixed point; Nondecreasing operators; Periodic boundary value problem; BOUNDARY-VALUE-PROBLEMS; EQUATIONS;

D O I：

10.1016/j.na.2009.01.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use Krasnoselskii's fixed point theorem on cone expansions to prove a new fixed point theorem for nondecreasing operators on ordered Banach spaces. Moreover we apply this abstract result to prove the existence of a positive periodic solution for a nonlinear boundary value problem. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2114 / 2118

页数：5

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