Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

被引：201
|
作者：
Pierri, Michelle [2 ]
O'Regan, Donal [1 ]
Rolnik, Vanessa [2 ]
机构：
[1] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[2] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP, Brazil
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期
关键词：
Impulsive differential equation; Mild solution; Analytic C-0-semigroup; Partial differential equations; NONLOCAL CONDITIONS; EVOLUTION SYSTEMS; INCLUSIONS;
D O I：
10.1016/j.amc.2012.12.084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with impulses are presented. (C) 2013 Published by Elsevier Inc.
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页码：6743 / 6749
页数：7
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