| 函数方程的实解 |
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| 引用本文： | 周霞,钟守铭.函数方程的实解[J].数学研究及应用,2011,31(1):34-44. |
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| 作者姓名： | 周霞 钟守铭 |
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| 作者单位： | 电子科技大学应用数学学院, 四川 成都 611731;电子科技大学应用数学学院, 四川 成都 611731 |
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| 基金项目： | 国家自然科学基金(Grant Nos.60736029;30570507),国家基础研究项目(Grant No.2010CB732501). |
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| 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.
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| 关 键 词： | fixed point stochastic delay neutral asymptotically stable in p-moment Kernel. |
| 收稿时间： | 2009/5/10 0:00:00 |
| 修稿时间： | 2009/9/18 0:00:00 |
Fixed Point and Asymptotical Stability in p-Moment of Neutral Stochastic Differential Equations with Mixed Delays |
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| Xia ZHOU and Shou Ming ZHONG.Fixed Point and Asymptotical Stability in p-Moment of Neutral Stochastic Differential Equations with Mixed Delays[J].Journal of Mathematical Research with Applications,2011,31(1):34-44. |
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| Authors: | Xia ZHOU and Shou Ming ZHONG |
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| Institution: | College of Applied Mathematics,University of Electronic Science and Technology of China,Siehuan 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. |
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| Keywords: | fixed point stochastic delay neutral asymptotically stable in $p$-moment Kernel |
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