一类中立型随机积微分方程mild解的存在性  

Existence of mild solutions for a class of neutral stochastic integro-differential equations

作　　者：陈昭先 范虹霞[1] CHEN Zhaoxian;FAN Hongxia(College 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,兰州730070

出　　处：《华中师范大学学报（自然科学版）》2024年第4期395-402,共8页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11561040).

摘　　要：该文在Hilbert空间中研究了一类具有非瞬时脉冲的中立型随机积微分方程非局部问题mild解的存在性.利用预解算子理论、非紧性测度理论和Darbo不动点定理,建立了所研究问题mild解的存在性定理,丰富和发展了已有的相关结果.In Hilbert space,the existence of mild solutions for a class of neutral stochastic integro-differential equations with noninstantaneous pulses was studied.The resolvent operator theory,noncompact measure theory and Darbo fixed point theorem were used to establish the existence theorem of mild solutions for the studied problem,which enriches and develops the existing related works.

关 键 词：预解算子 非瞬时脉冲 随机积微分方程 非紧性测度 MILD解 

分 类 号：O175.15[理学—数学]