Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay

被引：11

作者：

Ezzinbi, K ^{[1
]}

Ouhinou, A ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 08期

关键词：

Hille-Yosida operator; integrated semigroups; semigroups; integral and strict solutions; uniform fading memory space; essential spectrum;

D O I：

10.1016/j.na.2005.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we give necessary and sufficient conditions for the regularity and stability of solutions for some partial functional differential equations with infinite delay. We establish also a new characterization of the infinitesimal generator of the solution semigroup. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1690 / 1709

页数：20

共 22 条

[1] A class of linear partial neutral functional differential equations with nondense domain [J].

Adimy, M ;

Ezzinbi, K .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 147 (02) :285-332

[2] Existence and stability for some partial neutral functional differential equations with infinite delay [J].

Adimy, M ;

Bouzahir, H ;

Ezzinbi, K .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (02) :438-461

[3] Local existence and stability for some partial functional differential equations with infinite delay [J].

Adimy, M ;

Bouzahir, H ;

Ezzinbi, K .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (03) :323-348

[4] Existence for a class of partial functional differential equations with infinite delay [J].

Adimy, M ;

Bouzahir, H ;

Ezzinbi, K .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 46 (01) :91-112

[5] Strict solutions of nonlinear hyperbolic neutral differential equations [J].

Adimy, M ;

Ezzinbi, K .

APPLIED MATHEMATICS LETTERS, 1999, 12 (01) :107-112

[6]

Adimy M., 1999, DIFF EQUAT, V7, P371

[7]

ADIMY M, IN PRESS ANN MATEMAT

[8]

[Anonymous], 1983, APPL MATH SCI, DOI DOI 10.1007/978-1-4612-5561-1

[9]

ARENDT W, 1987, P LOND MATH SOC, V54, P321

[10] Existence of a periodic solution for some partial functional differential equations with infinite delay [J].

Benkhalti, R ;

Bouzahir, H ;

Ezzinbi, K .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 256 (01) :257-280

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