Local existence and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach spaces

被引：24

作者：

Ezzinbi, Khalil ^{[1
]}

Toure, Hamidou ^{[2
]}

Zabsonre, Issa ^{[2
]}

机构：

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

[2] Univ Ouagadougou, Dept Math, Unite Rech & Format Sci Exactes & Appl, Ouagadougou, Burkina Faso

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 09期

关键词：

Integrodifferential equation; Semigroup; Resolvent operator; Mild and strict solutions; Infinite delay; DIFFERENTIAL EQUATIONS; STABILITY;

D O I：

10.1016/j.na.2008.05.006

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 and regularity of solutions for some partial functional integrodifferential equations with infinite delay in Banach spaces. We suppose that the undelayed part admits a resolvent operator in the sense of Grimmer [R. Grimmer, Resolvent operators for integral equations in a Banach space, Transactions of the American Mathematical Society 273 (1982) 333-349]. The delayed part is assumed to be locally Lipschitz. Firstly, we show the existence of the mild solutions. Secondly, we give sufficient conditions ensuring the existence of strict solutions. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3378 / 3389

页数：12

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