Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay

Xiao feng Su; Xian long Fu

doi:10.1007/s10255-021-1027-7

Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay

Xiao feng Su
, Xian long Fu^*

^*此作品的通讯作者

数学科学学院

Fudan University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

In this work, we study the approximate controllability for a class of semilinear second-order control systems with finite delay. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators. To illustrate the applications of the obtained results, an example is provided in the end.

源语言	英语
页（从-至）	573-589
页数	17
期刊	Acta Mathematicae Applicatae Sinica
卷	37
期	3
DOI	https://doi.org/10.1007/s10255-021-1027-7
出版状态	已出版 - 7月 2021

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abstract = "In this work, we study the approximate controllability for a class of semilinear second-order control systems with finite delay. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators. To illustrate the applications of the obtained results, an example is provided in the end.",

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AB - In this work, we study the approximate controllability for a class of semilinear second-order control systems with finite delay. Sufficient conditions for approximate controllability are established by constructing fundamental solutions and using the resolvent condition and techniques on cosine family of linear operators. To illustrate the applications of the obtained results, an example is provided in the end.

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KW - 35R10

KW - 93B05

KW - 93C10

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KW - cosine operator

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KW - second-order evolution equation

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Approximate Controllability of Second-order Semilinear Evolution Systems with Finite Delay

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