Criteria for the asymptotic stability of solutions of dynamical systems

被引：0

作者：

Valeev K.G. ^{[1
]}

Dzhalladova I.A. ^{[1
]}

机构：

[1] Kiev National Economical University, Kiev

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 12期

关键词：

Differential Equation; Dynamical System; Difference Equation; Asymptotic Stability; Stochastic System;

D O I：

10.1023/A:1010464128307

中图分类号：

学科分类号：

摘要：

We present a new proof for criteria for the asymptotic stability of systems of difference and differential equations based on the properties of monotone operators in a semiordered space. We also establish necessary and sufficient conditions for the asymptotic stability of stochastic systems of differential and difference equations in the mean square. © 2000 Plenum Publishing Corporation.

引用

页码：1942 / 1948

页数：6

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