Abstract：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， Hlder 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.
强成菊,范虹霞. 一类具有瞬时脉冲的随机发展方程的近似可控性[J]. 华中师范大学学报(自然科学版), 2025, 59(2): 188-196.
QIANG Chengju,FAN Hongxia. Approximate controllability of a class of stochastic evolution equations with instantaneous impulses. journal1, 2025, 59(2): 188-196.
2025, Vol. 59 
