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

作　　者：张小云 范虹霞[1] ZHANG Xiaoyun;FAN Hongxia(Collage of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《中山大学学报(自然科学版)(中英文)》2025年第2期170-178,共9页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(11561040)。

摘　　要：研究在Hilbert空间中具有阻尼和无穷时滞的随机弹性系统mild解的存在唯一性和指数稳定性,利用算子半群理论、公理化相空间的性质及随机分析,获得了所研究问题mild解的存在唯一性和均方指数稳定性,丰富和发展了阻尼弹性系统已有的结果 .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 

分 类 号：O175.15[理学—数学]