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.

引用

页码：6743 / 6749

页数：7