中山大学学报（自然科学版）（中英文）2025，Vol.64Issue(2)：170-178,9.DOI:10.13471/j.cnki.acta.snus.ZR20240126
具有阻尼和无穷时滞的随机弹性系统解的指数稳定性
Exponential stability of solutions for stochastic elastic system with damping and infinite delay
摘要
Abstract
The existence,uniqueness and exponential stability of mild solutions of stochastic elastic systems with damping and infinite delay are studied in Hilbert spaces.By using the theory of operator semigroups,properties of axiomatic phase space and stochastic analysis,the existence and uniqueness of mild solution and the exponential stability in mean square are obtained,the existing results of damping elastic systems are enriched and developed.关键词
随机弹性系统/mild解/指数稳定性/阻尼/算子半群Key words
stochastic elastic systems/mild solutions/exponential stability/damping/operator semigroups分类
数理科学引用本文复制引用
张小云,范虹霞..具有阻尼和无穷时滞的随机弹性系统解的指数稳定性[J].中山大学学报（自然科学版）（中英文）,2025,64(2):170-178,9.基金项目
国家自然科学基金(11561040) （11561040）
