Method of Lyapunov functions for differential equations with piecewise constant delay

被引：12

作者：

Akhmet, M. U. ^{[1
,2
]}

Arugaslan, D. ^{[3
]}

Yilmaz, E. ^{[1
]}

机构：

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

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

[3] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 16期

关键词：

Nonlinear differential equations; Piecewise constant argument of generalized type; Method of Lyapunov functions; Logistic equation; GLOBAL STABILITY; POPULATION-MODEL; GENERALIZED TYPE; LOGISTIC EQUATIONS; ARGUMENT; PERSISTENCE;

D O I：

10.1016/j.cam.2010.02.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address differential equations with piecewise constant argument of generalized type [5-8] and investigate their stability with the second Lyapunov method. Despite the fact that these equations include delay, stability conditions are merely given in terms of Lyapunov functions; that is, no functionals are used. Several examples, one of which considers the logistic equation, are discussed to illustrate the development of the theory. Some of the results were announced at the 14th International Congress on Computational and Applied Mathematics (ICCAM2009), Antalya, Turkey, in 2009. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：4554 / 4560

页数：7