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.
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页码：503 / 522
页数：20
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