一类具有瞬时脉冲的随机发展方程的近似可控性  

Approximate controllability of a class of stochastic evolution equations with instantaneous impulses

作　　者：强成菊 范虹霞[1] QIANG Chengju;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)》2025年第2期188-196,共9页Journal of Central China Normal University:Natural Sciences

基　　金：国家自然科学基金项目(11561040).

摘　　要：该文研究了在Hilbert空间X中具有瞬时脉冲和无穷时滞的二阶非线性随机发展方程的近似可控性.利用基本解理论、Hölder不等式、随机分析理论并结合Rothe不动点定理,得到了该系统mild解的存在性,并在相应的线性系统是近似可控的基础上,得到了非线性随机系统近似可控的一组新的充分条件.In this paper,the approximate controllability of the second-order nonlinear stochastic evolution equation with instantaneous impulse and infinite delay in Hilbert space is studied.By using the basic solution theory,Holder inequality,stochastic analysis theory and Rothe fixed point theorem,the existence of mild solution of the system is obtained.On the basis that the corresponding linear system is approximately controllable,a new set of sufficient conditions for the approximate controllability of the nonlinear stochastic system are obtained.

关 键 词：瞬时脉冲 无穷时滞 近似可控性 Rothe不动点定理 

分 类 号：O175.29[理学—数学]