APPROXIMATE CONTROLLABILITY FOR SECOND-ORDER STOCHASTIC NEUTRAL EVOLUTION EQUATIONS WITH INFINITE DELAY

被引：0

作者：

Kang, Xiaodong ^{[1
]}

Fan, Hongxia ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Coll Math & Phys, Lanzhou, Peoples R China

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2024年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Approximate controllability; fundamental solution; stochastic evolu- tion equation; infinite delay; Wiener process; FUNCTIONAL-DIFFERENTIAL EQUATIONS; SYSTEMS; EXISTENCE;

D O I：

10.3934/eect.2023040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the approximate controllability for a semi- linear second-order stochastic neutral evolution equation with infinite delay in Hilbert spaces. The mild solution and approximate controllability are achieved by constructing the fundamental solution for the associated linear equation and assuming that the linear system is approximately controllable. Finally, an ex- ample is given to illustrate our main conclusion.

引用

页码：140 / 159

页数：20

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