Existence of some neutral partial differential equations with infinite delay

被引：2

作者：

Chang, Jung-Chan ^{[1
]}

机构：

[1] I Shod Univ, Dept Appl Math, Kaohsiung 84008, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 10期

关键词：

Neutral partial differential equation; Analytic compact semigroup; Mild solution; Classical solution; UNBOUNDED DELAY; INTEGRODIFFERENTIAL EQUATIONS; NONLOCAL CONDITIONS; ALPHA-NORM; REGULARITY; STABILITY;

D O I：

10.1016/j.na.2011.01.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study intends to investigate a class of quasi-linear partial neutral functional differential equations with infinite delay. We assume that the linear part generates an analytic compact semigroup and the nonlinear part satisfies certain conditions. A sufficient condition is given to ensure the existence of mild and classical solutions. Finally, an example is given to illustrate our abstract results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3204 / 3217

页数：14

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