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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	285-315
Number of pages	31
Journal	IMA Journal of Mathematical Control and Information
Volume	36
Issue number	1
DOIs	https://doi.org/10.1093/imamci/dnx045
State	Published - 22 Mar 2019

Keywords

Approximate controllability
Finite delay
Fundamental solution
Resolvent condition
Stochastic evolution system

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10.1093/imamci/dnx045

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abstract = "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.",

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AU - Mokkedem, Fatima Zahra

AU - Fu, Xianlong

PY - 2019/3/22

Y1 - 2019/3/22

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

U2 - 10.1093/imamci/dnx045

DO - 10.1093/imamci/dnx045

M3 - 文章

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SN - 0265-0754

VL - 36

SP - 285

EP - 315

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 1

ER -

Approximate controllability for a retarded semilinear stochastic evolution system

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Keywords

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