EXISTENCE AND CONTROLLABILITY RESULTS FOR DAMPED SECOND ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEMS WITH STATE-DEPENDENT DELAY

被引：8

作者：

Arjunan, M. Mallika ^{[1
]}

Nadaf, N. Y. ^{[2
]}

机构：

[1] CBM Coll, Dept Math, Kovaipudur 641042, Tamil Nadu, India

[2] Govt PU Coll, Dept Math, Bagalkot 587118, Karnataka, India

来源：

OPUSCULA MATHEMATICA | 2014年 / 34卷 / 03期

关键词：

damped second order differential equations; impulsive differential equations; controllability; state-dependent delay; cosine function; mild solution; fixed point;

D O I：

10.7494/OpMath.2014.34.3.503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces. The results are obtained by using Sadovskii's fixed point theorem combined with the theories of a strongly continuous cosine family of bounded linear operators. Finally, an example is provided to illustrate the main results.

引用

页码：503 / 522

页数：20

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