中立型非线性随机变时滞微分方程的稳定性  

Stability of neutral nonlinear stochastic differential equations with variable delays

作　　者：张有存[1] 罗交晚[2] 

机构地区：[1]韶关学院数学与信息科学学院,广东韶关512005 [2]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2013年第5期11-14,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11271093)

摘　　要：利用Banach不动点定理,避免了Lyapunov直接法,考虑一类中立型非线性随机变时滞微分方程的稳定性,给出零解均方渐近稳定的条件.减弱了方程系数函数的条件,也不要求时滞有界,从而改进和推广了一些相关文献的结果.By means of Banach＇s fixed points theory without Lyapunov direct method, in this paper we consider a class of neutral nonlinear stochastic differential equations with variable delays and give conditions to ensure that the zero solution is asymptotically mean square stable. The conditions of cefficient function are weakened and these conditions do not require the boundedness of delays. Some well-known results are improved and generalized.

关 键 词：不动点 稳定性 变时滞 中立型随机微分方程 

分 类 号：O211.63[理学—概率论与数理统计]