Local existence and stability for some partial functional differential equations with infinite delay

被引：55

作者：

Adimy, M

Bouzahir, H

Ezzinbi, K

机构：

[1] Univ Pau, URS 2055 CNRS, Dept Math Appl, F-64000 Pau, France

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 03期

关键词：

partial functional differential equations; infinite delay; integrated semigroup; C-0-semigroup; stability;

D O I：

10.1016/S0362-546X(00)00184-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Local existence and stability were derived for partial functional differential equations with infinite delay. It was shown that the density condition is not necessary in partial functional differential equations with finite or infinite delay. An extensive theory was developed with zero closed linear operator value in case of infinite delay. The existence of periodic solutions and stability was proved by using variation-of-constants formula.

引用

页码：323 / 348

页数：26

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