Existence results for a damped second order abstract functional differential equation with impulses

被引：28

作者：

Hernandez, Eduardo ^{[1
]}

Balachandran, K. ^{[2
]}

Annapoorani, N. ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Carlos, SP, Brazil

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 11-12期

关键词：

Damped second order impulsive differential equation; Cosine functions of operators; Mild solution; Strong solution; Classical solution; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

10.1016/j.mcm.2009.09.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this work we study the existence and regularity of mild solutions for a damped second order abstract functional differential equation with impulses. The results are obtained using the cosine function theory and fixed point criterions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1583 / 1594

页数：12

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