Fixed Point and Asymptotical Stability in p-Moment of Neutral Stochastic Differential Equations with Mixed Delays
Received:May 10, 2009  Revised:September 18, 2009
Key Word: fixed point   stochastic   delay   neutral   asymptotically stable in $p$-moment   Kernel.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.60736029; 30570507) and the National Basic Research Program of China (Grant No.2010CB732501).
Author NameAffiliation
Xia ZHOU College of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 611731, P. R. China 
Shou Ming ZHONG College of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan $611731$, P. R. China 
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Abstract:
      In this paper the asymptotical 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.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.01.004
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