Approximate controllability for a retarded semilinear stochastic evolution system

Fatima Zahra Mokkedem; Xianlong Fu

doi:10.1093/imamci/dnx045

Approximate controllability for a retarded semilinear stochastic evolution system

Fatima Zahra Mokkedem
, Xianlong Fu^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

In thiswork, we study the approximate controllability for a class of semilinear stochastic evolution systems with finite delays in Lp space. The main technique is the fundamental solution theory constructed through Laplace transformation. The approximate controllability result is obtained via the so-called resolvent condition. The nonlinear terms are only required to be partly uniformly bounded. An example is provided to illustrate the obtained results.

源语言	英语
页（从-至）	285-315
页数	31
期刊	IMA Journal of Mathematical Control and Information
卷	36
期	1
DOI	https://doi.org/10.1093/imamci/dnx045
出版状态	已出版 - 22 3月 2019

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10.1093/imamci/dnx045

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AU - Fu, Xianlong

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N2 - In thiswork, we study the approximate controllability for a class of semilinear stochastic evolution systems with finite delays in Lp space. The main technique is the fundamental solution theory constructed through Laplace transformation. The approximate controllability result is obtained via the so-called resolvent condition. The nonlinear terms are only required to be partly uniformly bounded. An example is provided to illustrate the obtained results.

AB - In thiswork, we study the approximate controllability for a class of semilinear stochastic evolution systems with finite delays in Lp space. The main technique is the fundamental solution theory constructed through Laplace transformation. The approximate controllability result is obtained via the so-called resolvent condition. The nonlinear terms are only required to be partly uniformly bounded. An example is provided to illustrate the obtained results.

KW - Approximate controllability

KW - Finite delay

KW - Fundamental solution

KW - Resolvent condition

KW - Stochastic evolution system

UR - https://www.scopus.com/pages/publications/85066834578

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Approximate controllability for a retarded semilinear stochastic evolution system

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