Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay

被引：50

作者：

Arthi, G. ^{[1
]}

Park, Ju H. ^{[1
]}

Jung, H. Y. ^{[1
]}

机构：

[1] Yeungnam Univ, Dept Informat & Commun Engn Elect Engn, Nonlinear Dynam Grp, Kyongsan 712749, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 248卷

关键词：

Existence; Controllability; Impulsive stochastic evolution system; Fixed point theorem; State-dependent delay; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL-SYSTEMS;

D O I：

10.1016/j.amc.2014.09.084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss a kind of impulsive second-order stochastic evolution systems with state-dependent delay in a real separable Hilbert space. The results concerning the existence and controllability of mild solutions have been addressed. By means of the fixed point techniques, some sufficient conditions are formulated, as well as an application involving partial differential equation with impulses is presented. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：328 / 341

页数：14

共 41 条

[1] [Anonymous], 2008, The Electronic Journal of Differential Equations
[2] [Anonymous], 1987, NONLINEAR OPERATORS
[3] Arnold L., 1974, Stochastic Differential Equations: Theory and Applications
[4] CONTROLLABILITY OF DAMPED SECOND-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS WITH IMPULSES
Arthi, G.
Balachandran, K.
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (01): : 89 - 106
[5] Existence of solutions of neutral functional integrodifferential equation in Banach spaces
Balachandran, K
Sakthivel, R
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1999, 109 (03): : 325 - 332
[6] Controllability of second-order integrodifferential evolution systems in Banach spaces
Balachandran, K
Park, DG
Manimegalai, P
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (11-12) : 1623 - 1642
[7] Controllability of integrodifferential systems in Banach spaces
Balachandran, K
Sakthivel, R
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2001, 118 (01) : 63 - 71
[8] Balasubramaniam P, 2007, DYNAM SYST APPL, V16, P713
[9] Approximate Controllability of Second-Order Stochastic Distributed Implicit Functional Differential Systems with Infinite Delay
Balasubramaniam, P.
Muthukumar, P.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 143 (02) : 225 - 244
[10] Periodic solutions for differential equations with state-dependent delay and positive feedback
Bartha, M
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (06) : 839 - 857

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