Approximate controllability of semi-linear neutral integro-differential systems with finite delay

被引：52

作者：

Mokkedem, Fatima Zahra ^{[1
]}

Fu, Xianlong ^{[1
]}

机构：

[1] E China Normal Univ, Shanghai Key Lab PMMP, Dept Math, Shanghai 200241, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 242卷

关键词：

Approximate controllability; Neutral system; Resolvent operator; Fractional power operator; STATE-DEPENDENT DELAY; BANACH-SPACE; DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; NONLOCAL CONDITIONS; STOCHASTIC-SYSTEMS; INTEGRAL-EQUATIONS; EXISTENCE; MEMORY;

D O I：

10.1016/j.amc.2014.05.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the approximate controllability of semilinear neutral integrodifferential systems with finite delay in Hilbert space. Since the considered equation admits nonlinear terms involving spatial derivatives, the fraction power theory and alpha-norm are used to discuss the problem so that the established results can be applied to them. The results are obtained by using the Sadovskii fixed point theorem and the theory of analytic resolvent operator. An example is presented to illustrate the applications of the obtained results. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：202 / 215

页数：14

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