A nonlinear nonautonomous delay differential inequality for dissipativity of Lotka-Volterra functional differential equations

被引：2

作者：

Xu, Liguang ^{[1
]}

He, Danhua ^{[2
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China

[2] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310012, Peoples R China

来源：

TBILISI MATHEMATICAL JOURNAL | 2014年 / 7卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Lotka-Volterra functional differential equations; Nonlinear delay differential inequality; Dissipativity; Generalized Barbalat's lemma;

D O I：

10.2478/tmj-2014-0004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a Lotka-Volterra functional differential equation is considered. By establishing a nonlinear nonautonomous delay differential inequality and using a generalized Barbalat's lemma, we obtain some new sufficient conditions ensuring the dissipativity of the Lotka-Volterra functional differential equation.

引用

页码：37 / 43

页数：7

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