Existence and controllability result for semilinear evolution integrodifferential systems

被引：26

作者：

Sakthivel, R

Anthoni, SM

Kim, JH

机构：

[1] Kyushu Inst Technol, Dept Control Engn & Sci, Fukuoka 8208502, Japan

[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2005年 / 41卷 / 8-9期

关键词：

controllability; mild solution; resolvent operator; Banach fixed-point theorem;

D O I：

10.1016/j.mcm.2004.03.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper focuses on existence and controllability results of nonautonomous semilinear evolution integrodifferential systems in Banach spaces. Without imposing severe compactness condition on the resolvent operators, we obtain sufficient conditions for the existence and controllability results by using a fixed-point analysis approach. Finally, we apply these to a control system governed by distributed parameter systems. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1005 / 1011

页数：7

共 14 条

[1] Controllability of functional semilinear integrodifferential systems in Banach spaces
Balachandran, K
Sakthivel, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (02) : 447 - 457
[2] Controllability of integrodifferential systems in Banach spaces
Balachandran, K
Sakthivel, R
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2001, 118 (01) : 63 - 71
[3] Local controllability of functional integrodifferential equations in Banach space
Balasubramaniam, P
Dauer, JP
Loganathan, C
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 114 (02) : 273 - 286
[4] Existence of solutions of a semilinear functional-differential evolution nonlocal problem
Byszewski, L
Akca, H
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (01) : 65 - 72
[5] Carmichael N., 1984, LECT NOTES CONTROL I, V75, P24
[6] Approximate controllability of semilinear functional equations in Hilbert spaces
Dauer, JP
Mahmudov, NI
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (02) : 310 - 327
[7] Null controllability of semilinear integrodifferential systems in Banach space
Dauer, JP
Balasubramaniam, P
[J]. APPLIED MATHEMATICS LETTERS, 1997, 10 (06) : 117 - 123
[8] RESOLVENT OPERATORS FOR INTEGRAL-EQUATIONS IN A BANACH-SPACE
GRIMMER, RC
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 273 (01) : 333 - 349
[9] HERNANDEZ E, 2001, ELECT J DIFFERENTIAL, V24, P1
[10] Semilinear integrodifferential equations with nonlocal cauchy problem
Lin, YP
Liu, JH
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (05) : 1023 - 1033

← 1 2 →