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
收藏
页码：445 / 454
页数：10
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