Controllability of non-densely defined impulsive neutral functional differential systems with infinite delay in Banach spaces

被引：20

作者：

Kavitha, V. ^{[1
]}

Arjunan, M. Mallika ^{[1
]}

机构：

[1] Karunya Univ, Dept Math, Coimbatore 641114, Tamil Nadu, India

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2010年 / 4卷 / 03期

关键词：

Impulsive differential equations; Controllability; Non-densely defined; Infinite delay; Schauder fixed point theorem;

D O I：

10.1016/j.nahs.2009.11.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we investigate the controllability for a class of abstract impulsive neutral functional differential systems with infinite delay where the linear part is non-densely defined and satisfies the Hille-Yosida condition. The approach used is the Schauder fixed point theorem combined with the operator semigroups. Particularly, the compactness of the operator semigroups is not needed in this article. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：441 / 450

页数：10

共 27 条

[21] Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces [J].

Park, J. Y. ;

Balachandran, K. ;

Arthi, G. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) :184-194

[22]

Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI [10.1007/978-1-4612-5561-1, DOI 10.1007/978-1-4612-5561-1]

[23]

QUINN MD, 1984, NUMER FUNC ANAL OPT, V7, P197, DOI 10.1080/01630568508816189

[24] Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces [J].

Xue, Xingmei .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) :2593-2601

[25] Boundary value problems on the half-line with impulses and infinite delay [J].

Yan, BQ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (01) :94-114

[26] A unified approach to controllability analysis for hybrid control systems [J].

Yang, Zhenyu ;

Blanke, Mogens .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2007, 1 (02) :212-222

[27]

Yosida K., 1980, FUNCTIONAL ANAL, V6th ed.

← 1 2 3 →