Krasnoselskii's fixed point theorem and stability

被引：105

作者：

Burton, TA

Furumochi, T

机构：

[1] NW Res Inst, Port Angeles, WA 98362 USA

[2] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 04期

关键词：

fixed points; stability; Lienard equation; Krasnoselskii;

D O I：

10.1016/S0362-546X(01)00111-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A general theorem concerning the asymptotic stability of the zero solution of a nonlinear system of equation was studied. A modification of Krasnoselskii's fixed point theorem was used to prove the general theorem. The fixed point theorem was based on a closed convex nonempty subset of a Banach space.

引用

页码：445 / 454

页数：10

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