Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions

被引：22

作者：

Arthi G. ^{[1
]}

Balachandran K. ^{[1
]}

机构：

[1] Department of Mathematics, Bharathiar University, Coimbatore

来源：

Journal of Control Theory and Applications | 2013年 / 11卷 / 2期

关键词：

Controllability; Damped second-order differential equations; Impulsive differential equations; Neutral integrodifferential equations; Nonlocal conditions;

D O I：

10.1007/s11768-013-1084-4

中图分类号：

学科分类号：

摘要：

In this paper, we establish a set of sufficient conditions for the controllability of damped second-order impulsive neutral integrodifferential systems with nonlocal initial conditions in Banach spaces. The approach used is the Sadovskii fixed point theorem combined with a noncompact condition on the cosine family of operators. An example is presented to illustrate the result. © 2013 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：186 / 192

页数：6

共 30 条

[1]

Bainov D.D., Simeonov P.S., Impulsive Differential Equations: Periodic Solutions and Applications, (1993)

[2]

Lakshmikantham V., Bainov D.D., Simeonov P.S., Theory of Impulsive Differential Equations, (1989)

[3]

Pandit S.G., Deo S.G., Differential Systems Involving Impulses (Lecture Notes in Mathematics), (1982)

[4]

Byszewski L., Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, Journal of Mathematical Analysis and Applications, 162, 2, pp. 494-505, (1991)

[5]

Benchohra M., Ntouyas S.K., Existence of solutions of nonlinear differential equations with nonlocal conditions, Journal of Mathematical Analysis and Applications, 252, 1, pp. 477-483, (2000)

[6]

Hernandez E., Existence of solutions for an abstract second-order differential equation with nonlocal conditions, Electronic Journal of Differential Equations, (2009)

[7]

Hernandez E.M., Henriquez H.R., Existence results for second-order differential equations with nonlocal conditions in Banach spaces, Funkcialaj Ekvacioj, 52, 1, pp. 113-137, (2009)

[8]

Balachandran K., Existence and uniqueness of mild and strong solutions of nonlinear integrodifferential equation with nonlocal condition, Differential Equations and Dynamical Systems, 6, 1-2, pp. 159-165, (1998)

[9]

Dauer J.P., Balachandran K., Existence of solutions for an integrodifferential equation with nonlocal condition in Banach spaces, Libertas Mathematica, 16, pp. 133-143, (1996)

[10]

Lin Y., Liu J., Semilinear integrodifferential equations with nonlocal Cauchy problem, Nonlinear Analysis, 26, 5, pp. 1023-1033, (1996)

← 1 2 3 →