二参数随机积分微分方程解的存在唯一性及稳定性

The Existence, Uniqueness and Stability of Solutions for Two-parameter Stochastic Intcgrodiffcrcntial Equations

本文研究了两参数随机积分微分方程(A)在(A)中所含函数的适当条件下解的存在唯一性及稳定性,该结果在单参数情况下不仅成立,而且是文[1]结果的推广。

The present paper is concerned with the existence and uniqueness of solutions of two-parameter stochastic nonlinear integrodifferential equation of the formunder some suitable conditions on the functions involved in (A). The results in this paper will not only be true for the case of one-parameter, but also improves the results of paper[1].