Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations

被引：18

作者：

Dads, El Hadi Ait ^{[2
]}

Cieutat, Philippe ^{[1
]}

Lhachimi, Lahcen ^{[2
]}

机构：

[1] Univ Versailles St Quentin en Yvelines, UMR 8100, Lab Math Versailles, F-78035 Versailles, France

[2] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 3-4期

关键词：

Almost periodic solutions; Asymptotically almost periodic solutions; Pseudo almost periodic solutions; Delay differential equation; Delay integral equation; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; EPIDEMIC PROBLEMS; EXISTENCE;

D O I：

10.1016/j.mcm.2008.07.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We state sufficient conditions for the existence of positive pseudo almost periodic and asymptotically almost periodic solutions of the following nonlinear infinite delay integral equation: x(t) = integral(t)(-infinity) a(t,t - s)f(s, x(s))ds. Then we apply these results to a finite delay integral equation when the delay is time-dependent and to a delay differential equation. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：721 / 739

页数：19

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