浙江大学学报（理学版）2025，Vol.52Issue(3)：383-390,8.DOI:10.3785/j.issn.1008-9497.2025.03.011
一类具有无穷时滞的二阶随机发展方程的近似可控性
Approximate controllability of a class of second order stochastic evolution equations with infinite delay
摘要
Abstract
This paper presents a study on existence and approximate controllability of the mild solution of a class of second order stochastic evolution equations with infinite delay in Hilbert space.It proves the existence of the mild solution of the studied problem by using the cosine family theory,Hölder inequality,stochastic analysis theory and Mönch fixed point theorem.At the same time,the iterative technique is used to construct the convergent sequence,meanwhile the sufficient condition for the approximate controllability of the problem is obtained by combining the range condition.关键词
无穷时滞/近似可控性/非紧性测度/不动点定理Key words
infinite delay/approximate controllability/noncompactness measure/fixed point theorem分类
数理科学引用本文复制引用
强成菊,范虹霞..一类具有无穷时滞的二阶随机发展方程的近似可控性[J].浙江大学学报（理学版）,2025,52(3):383-390,8.基金项目
国家自然科学基金资助项目(11561040). （11561040）
