Approximate controllability of semilinear partial functional differential systems

Xianlong Fu; Kaidong Mei

doi:10.1007/s10883-009-9068-x

Approximate controllability of semilinear partial functional differential systems

Xianlong Fu^*
, Kaidong Mei

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

In this paper, we study the approximate controllability of semilinear neutral functional-differential systems and impulsive functional-differential systems with finite delay. Since the considered equations admit nonlinear terms involving spatial derivatives, the fraction power theory and α-norm is used to discuss the problem so that the established results can be applied to them. An example is provided to illustrate the application of the obtained results.

源语言	英语
页（从-至）	425-443
页数	19
期刊	Journal of Dynamical and Control Systems
卷	15
期	3
DOI	https://doi.org/10.1007/s10883-009-9068-x
出版状态	已出版 - 2009

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AU - Mei, Kaidong

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AB - In this paper, we study the approximate controllability of semilinear neutral functional-differential systems and impulsive functional-differential systems with finite delay. Since the considered equations admit nonlinear terms involving spatial derivatives, the fraction power theory and α-norm is used to discuss the problem so that the established results can be applied to them. An example is provided to illustrate the application of the obtained results.

KW - (Impulsive) Functional differential system

KW - Analytic semigroup

KW - Approximate controllability

KW - Fixed point theorem

KW - Fractional power operator

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DO - 10.1007/s10883-009-9068-x

M3 - 文章

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SP - 425

EP - 443

JO - Journal of Dynamical and Control Systems

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Approximate controllability of semilinear partial functional differential systems

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