Controllability of Neutral Evolution Integrodifferential Systems with State Dependent Delay

被引：29

作者：

Radhakrishnan, B. ^{[1
]}

Balachandran, K. ^{[1
]}

机构：

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

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2012年 / 153卷 / 01期

关键词：

Controllability; Integrodifferential system; Evolution operator; Resolvent operators; State dependent delay; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NONLINEAR-SYSTEMS; EXISTENCE;

D O I：

10.1007/s10957-011-9934-z

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we address the problem of controllability of neutral evolution integrodifferential systems with state dependent delay in a Banach space. The results are obtained by using the theory of resolvent operators.

引用

页码：85 / 97

页数：13

共 30 条

[1] A class of linear partial neutral functional differential equations with nondense domain [J].

Adimy, M ;

Ezzinbi, K .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 147 (02) :285-332

[2]

[Anonymous], 1987, NONLINEAR OPERATORS

[3]

[Anonymous], J COMPUT APPL MATH

[4] Controllability of neutral functional evolution integrodifferential systems with infinite delay [J].

Balachandran, K. ;

Leelamani, A. ;

Kim, J.-H. .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (02) :157-171

[5] CONTROLLABILITY OF NONLINEAR-SYSTEMS VIA FIXED-POINT THEOREMS [J].

BALACHANDRAN, K ;

DAUER, JP .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 53 (03) :345-352

[6] Controllability of nonlinear systems in Banach spaces: A survey [J].

Balachandran, K ;

Dauer, JP .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 115 (01) :7-28

[7] Periodic solutions for differential equations with state-dependent delay and positive feedback [J].

Bartha, M .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 53 (06) :839-857

[8] THE EFFECTS OF STATE-DEPENDENT TIME-DELAY ON A STAGE-STRUCTURED POPULATION-GROWTH MODEL [J].

CAO, YL ;

FAN, JP ;

GARD, TC .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (02) :95-105

[9] CONTROLLABILITY QUESTIONS FOR NONLINEAR-SYSTEMS IN ABSTRACT SPACES [J].

CHUKWU, EN ;

LENHART, SM .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 68 (03) :437-462

[10] EXISTENCE AND REGULARITY FOR A CLASS OF INTEGRODIFFERENTIAL EQUATIONS OF PARABOLIC TYPE [J].

DAPRATO, G ;

IANNELLI, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 112 (01) :36-55

← 1 2 3 →