不动点和中立型随机时滞微分方程的指数p-稳定(英文)  

FIXED POINT AND EXPONENTIAL p-STABILITY OF NEUTRAL STOCHASTIC DELAY DIFFERENTIAL EQUATIONS

作　　者：周霞[1] 钟守铭[1] 

机构地区：[1]电子科技大学应用数学学院,四川成都611731

出　　处：《数学杂志》2011年第2期218-226,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(60736029)

摘　　要：本文研究了一个具有变时滞线性中立型随机微分方程的指数p-稳定性.利用不动点定理,在系数函数不要求是取确定值的弱条件下得到了方程指数p-稳定的充分条件,得到了比luo更一般的结论,推广了他的结果.最后,举例说明本文结果的有效性.In this article,the exponential stability in p-moment of a linear neutral stochastic differential equation with variable delays is discussed.By using the fixed point theory rather than the Lyapunov functions,we get a sufficient condition of exponential stability in p-moment theorem when coefficient functions of equations are not required to be fixed values.Since we get more general results,this article improves Luo Jiaowan＇s results.Finally,an example is provided to illustrate the efficiency of the obtained results.

关 键 词：不动点 指数p-稳定 中立型 随机 变时滞 

分 类 号：O211.63[理学—概率论与数理统计]