Fixed Point and Asymptotical Stability in p-Moment of Neutral Stochastic Differential Equations with Mixed Delays  

作　　者：Xia ZHOU Shou Ming ZHONG 

机构地区：[1]College of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 611731, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第1期34-44,共11页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos.60736029;30570507);the National Basic Research Program of China (Grant No.2010CB732501)

摘　　要：In this paper the asymptotieal stability in p-moment of neutral stochastic differential equations with discrete and distributed time-varying delays is discussed. The authors apply the fixed-point theory rather than the Lyapunov functions. We give a sufficient condition for asymptotical stability in p-moment when the coefficient functions of equations are not required to be fixed values. Since more general form of system is considered, this paper improves Luo Jiaowan＇s results.In this paper the asymptotieal stability in p-moment of neutral stochastic differential equations with discrete and distributed time-varying delays is discussed. The authors apply the fixed-point theory rather than the Lyapunov functions. We give a sufficient condition for asymptotical stability in p-moment when the coefficient functions of equations are not required to be fixed values. Since more general form of system is considered, this paper improves Luo Jiaowan＇s results.

关 键 词：fixed point stochastic delay NEUTRAL asymptotically stable in p-moment Kernel. 

分 类 号：O175.7[理学—数学]