LYAPUNOV-RAZUMIKHIN METHOD FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT

被引：23

作者：

Akhmet, Marat ^{[1
]}

Arugaslan, Duygu ^{[1
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 25卷 / 02期

关键词：

Differential equations with piecewise constant argument of generalized type; Lyapunov's second method; Razumikhin technique; logistic equation; ALMOST-PERIODIC SOLUTIONS; GENERALIZED TYPE; GLOBAL STABILITY; DELAYS; PERSISTENCE; SYSTEMS; MODEL;

D O I：

10.3934/dcds.2009.25.457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

At the first time, Razumikhin technique is applied for differential equations with piecewise constant argument of generalized type [1, 2]. Sufficient conditions are established for stability, uniform stability and uniform asymptotic stability of the trivial solution of such equations. We also provide appropriate examples to illustrate our results.

引用

页码：457 / 466

页数：10

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