Cone inequalities and stability of differential systems

被引：1

作者：

Mazko, A. G. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2008年 / 60卷 / 08期

关键词：

Asymptotic Stability; Differential System; Absolute Stability; Ukrainian National Academy; Positive System;

D O I：

10.1007/s11253-009-0131-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate generalizations of classes of monotone dynamical systems in a partially ordered Banach space. We establish algebraic conditions for the stability of equilibrium states of differential systems on the basis of linearization and application of derivatives of nonlinear operators with respect to a cone. Conditions for the positivity and absolute stability of a certain class of differential systems with delay are proposed. Several illustrative examples are given.

引用

页码：1237 / 1253

页数：17

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