Pseudo almost automorphic solutions for some partial functional differential equations with infinite delay

被引：6

作者：

Ezzinbi, Khalil ^{[2
]}

Fatajou, Samir ^{[2
]}

N'guerekata, Gaston Mandata ^{[1
]}

机构：

[1] Morgan State Univ, Dept Math, Baltimore, MD 21239 USA

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

来源：

APPLICABLE ANALYSIS | 2008年 / 87卷 / 05期

关键词：

Hille-Yosida condition; infinite delay; c(0)-semigroup; integral solution; fading memory space; pseudo almost automorphic solution; exponential dichotomy;

D O I：

10.1080/00036810802140681

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the existence of pseudo almost automorphic solution for some partial functional differential equations with infinite delay. We assume that the undelayed part is not necessarily densely defined and satisfies the Hille-Yosida condition. We use the variation of constant formula developed recently in [1] to get the existence and uniqueness of pseudo almost automorphic solution when the linear equation has an exponential dichotomy. We also give an application of the abstract results to a Lotka-Volterra model with diffusion.

引用

页码：591 / 605

页数：15

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