Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators

被引：19

作者：

Yan, Zuomao ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期

关键词：

Impulsive partial functional integrodifferential equations; Fixed point; Analytic semigroup; Nonlocal conditions; PARTIAL-DIFFERENTIAL-EQUATIONS; STATE-DEPENDENT DELAY; BANACH-SPACES; CAUCHY-PROBLEM;

D O I：

10.1016/j.cam.2010.10.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Leray-Schauder alternative, we have investigated the existence of mild solutions to first-order impulsive partial functional integrodifferential equations with nonlocal conditions in an alpha-norm. We assume that the linear part generates an analytic compact bounded semigroup, and that the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part. An example is also given to illustrate our main results. (C) 2010 Elsevier B.V. All rights reserved.

引用

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页码：2252 / 2262

页数：11

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