关于随机不稳定性和q-不稳定性定理  

On Stochastic Instability and the Theorem of q-instability

作　　者：秦明达[1] 

机构地区：[1]北京科技大学数力系

出　　处：《北京科技大学学报》1992年第1期107-112,共6页Journal of University of Science and Technology Beijing

摘　　要：研究Ito随机微分系统的随机不稳定性。对Has’minskii的随机不稳定性基本定理的条件作了明显改进,进一步建立了关于q-不稳定性的比较准则。同时还对q-不稳定性判定定理的条件加以减弱使其应用更加方便。the stochastic instability of Ito's stochastic differential systems isstudied. The Has'minskii theorem on stochastic instability is obviously improved. The comparison criterion of q-instability is established. Furthermore, the q-instability theorem is developed by means of the sufficient conditions reduced such that suited to applications.

关 键 词：随机不稳定性 q-不稳定性 微分方程 

分 类 号：O211.63[理学—概率论与数理统计]