Local existence for nonlinear Volterra integrodifferential equations with infinite delay

被引：6

作者：

Lang, Cheng-Lien ^{[1
]}

Chang, Jung-Chan ^{[1
]}

机构：

[1] Shou Univ 1, Dept Appl Math, Kaohsiung 84008, Taiwan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 10期

关键词：

integrodifferential equation; infinite delay; phase space; Hille-Yosida operator;

D O I：

10.1016/j.na.2007.02.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the local existence and uniqueness of solutions to integrodifferential equations with infinite delay, Which are more general than those in previous studies. We assume that the linear part of the equation is nondensely defined and satisfies a Hille-Yosida condition. Moreover, the continuity of solutions with respect to initial conditions is also studied. In order to illustrate our abstract results, we conclude this work with an example. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2943 / 2956

页数：14

共 16 条

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