半线性随机发展方程适度解的存在唯一性

Existence and Uniqueness of the Mild Solution of Semilinear Stochastic Evolution Equations in Hilbert Spaces

讨论Hilbert空间中半线性随机发展方程的Caudhy问题的适度解的存在唯一性。在所给的一组条件下，得到了解的整体存在唯一性结果。

In this paper the Cauchy problem of stochastic evolution equations in Hibert spaces is discussed. In the light of semigroup theory, the existence and uniqueness have been obtained of the mild solution of semilinear stochastic evolution equations in Hilbert spaces.