【摘要】 [1]中研究了伊藤（It）方程与常数微分方程间的比较律,本文将建立更加一般的关于一类半鞅随机积分方程 X_t=x₀+integral from 0 to t （Ψ（z）_sds）+integral from 0 to t （F（z）_sdM_s）与常微分方程的比较律,从而一维情形的伊藤方程与常数分方程间的比较律便成为它的特例。更多还原

【Abstract】 In this paper, we are going to study more general comparison laws qctween a kind of integral equations with respecp to contnuous semimartingales (which includes one dimsnsional Ito’s differential equations as a special case) and ordinary differential equations Theorem 1 . Suppose that the conditions ( 3 ) - ( 6 ) hold, then the zero solutionof ( l ) is stochastically stable, if the zero solution of ( 2 ) is stable. Theorem 2 . Suppose that the conditions (3) - (5) hoid, in addtion,(8) the zero solution of ( 2 ) is uniformly stable and E δ1≤0 such that limY(t,0,u0) =0, if u0<δ1, then the zero solntion of ( 1 ) is stochasically and asymptotically stable.In this paper, we also obtained the sufficient conditions of stochastically and glob-lly asymptotically stable.更多还原