| 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 Words:
fixed point stochastic delay neutral asymptotically stable in $p$-moment Kernel.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.60736029; 30570507) and the National Basic Research Program of China (Grant No.2010CB732501). |
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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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