具有非局部初始条件半线性中立型随机演化方程的能控性(英文)

Controllability of Semilinear Neutral Stochastic Evolution Equations With Nonlocal Initial Conditions

讨论了一类具有非局部初始条件半线性中立型随机演化方程的能控性.通过Sadovskii不动点原理得到了其能控性的充分条件,结论是在算子半群不具有紧性条件下所得到的.作为应用,文章给出了一类具有非局部条件的一类中立型随机偏微分方程的能控性.

This paper deals with the controllability of a class of semilinear neurtral stochastic evolution equation with nonlocal initial conditions.Sufficient conditions for the controllability are derived by means of the Sadovskii fixed point theorem.Especially,the compactness of the operator semigroups is not needed in this article.An application to the controllability of the neutral stochastic partial differential equations with nonlocal initial values is given to illustrate the theory.