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.
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页码：37 / 43
页数：7
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