| 不动点和中立型随机时滞微分方程的指数p-稳定 |
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| 引用本文： | 周霞,钟守铭. 不动点和中立型随机时滞微分方程的指数p-稳定[J]. 数学杂志, 2011, 31(2) |
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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 |
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| 基金项目： | Supported by National Natural Science Foundation of China(60736029) |
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| 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.利用小动点定理,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,举例说叫本文结果的有效性.
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| 关 键 词： | 不动点 指数p-稳定 中立型 随机 变时滞 |
FIXED POINT AND EXPONENTIAL p-STABILITY OF NEUTRAL STOCHASTIC DELAY DIFFERENTIAL EQUATIONS |
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| ZHOU Xia,ZHONG Shou-ming. FIXED POINT AND EXPONENTIAL p-STABILITY OF NEUTRAL STOCHASTIC DELAY DIFFERENTIAL EQUATIONS[J]. Journal of Mathematics, 2011, 31(2) |
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| Authors: | ZHOU Xia ZHONG Shou-ming |
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| Affiliation: | ZHOU Xia,ZHONG Shou-ming (College of Applied Mathematics,University of Electronic Science and Technology of China,Chengdu 611731,China) |
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| Abstract: | 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. |
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| Keywords: | fixed point exponential p-stability neutral stochastic variable delays |
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