Global Attractor for Some Partial Functional Differential Equations with Infinite Delay

被引：8

作者：

Bouzahir, Hassane ^{[1
]}

You, Honglian ^{[2
]}

Yuan, Rong ^{[2
]}

机构：

[1] Alhosn Univ, Fac Engn & Appl Sci, Abu Dhabi, U Arab Emirates

[2] Beijing Normal Univ, Minist Educ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2011年 / 54卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Global attractor; Hille-Yosida; kappa-contraction; Dissipative; Infinite delay; ASYMPTOTIC STABILITY; NAVIER-STOKES; EXISTENCE; SEMIGROUPS;

D O I：

10.1619/fesi.54.139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a class of partial functional differential equations with infinite delay. Supposing that the linear part is a Hille-Yosida operator but not necessarily densely defined, and employing the integrated semigroups and dissipative dynamics theory, we present some appropriate conditions to guarantee existence of a global attractor.

引用

页码：139 / 156

页数：18

共 37 条

[1] Non-linear semigroup of a class of abstract semilinear functional differential equations with a non-dense domain [J].