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Attraction and Stability for Neutral Stochastic Functional Differential Equations 被引量：1

Attraction and Stability for Neutral Stochastic Functional Differential Equations
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摘要 The main aim of this paper is to establish several new criteria on the attractor for the solutions of neutral stochastic func- tional differential equations. A kind of ψ-function is introduced to our discussion, and some results on the attractor for the product of the ψ-function and the solutions are obtained. As a byproduct, a number of new criteria on asymptotic stability are also shown. The main aim of this paper is to establish several new criteria on the attractor for the solutions of neutral stochastic func- tional differential equations. A kind of ψ-function is introduced to our discussion, and some results on the attractor for the product of the ψ-function and the solutions are obtained. As a byproduct, a number of new criteria on asymptotic stability are also shown.
作者 CEN Liqun, DAI Weixing, HU Shigeng School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China
出处 《Wuhan University Journal of Natural Sciences》 CAS 2009年第3期205-209,共5页 武汉大学学报（自然科学英文版）
基金 Supported by the National Natural Science Foundation of China (10671078)
关键词 Lyapunov＇s method ATTRACTOR semimartingale convergence theorem Ito＇s formula Lyapunov＇s method attractor semimartingale convergence theorem Ito＇s formula
分类号 O175.7 [理学—基础数学] TM727.2 [电气工程—电力系统及自动化]
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参考文献10

  • 1Yuan C,Mao X.Attraction and Stochastic Asymptotic Stabil- ity and Boundedness of Stochastic Functional Differential Equations with Respect to Semimartingales[].Stochastic Analysis and Applications.2006
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  • 3LaSalle J P.Stability theory for ordinary differential equations[].Journal of Differential Equations.1968
  • 4Mao Xue-rong.Stochastic versions of the LaSalle theorem[].Journal of Differential Equations.1999
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Wuhan University Journal of Natural Sciences
2009年 第3期

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