Existence results for semilinear differential equations with nonlocal and impulsive conditions

被引：130

作者：

Fan, Zhenbin ^{[1
]}

Li, Gang ^{[2
]}

机构：

[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China

[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 05期

关键词：

Nonlocal conditions; Impulsive differential equations; Fixed point; C-0-semigroup; Mild solutions; EVOLUTION-EQUATIONS; INCLUSIONS; SYSTEMS;

D O I：

10.1016/j.jfa.2009.10.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the existence for impulsive semilinear differential equations with nonlocal conditions. Using the techniques of approximate solutions and fixed point, existence results are obtained, for mild solutions, when the impulsive functions arc only continuous and the nonlocal item is Lipschitz in the space of piecewise continuous functions, is not Lipschitz and not compact, is continuous in the space of Bochner integrable functions, respectively. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：1709 / 1727

页数：19

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