STATIONARY SOLUTION FOR A STOCHASTIC LINARD EQUATION WITH MARKOVIAN SWITCHING |
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引用本文: | 席福宝,赵丽琴.STATIONARY SOLUTION FOR A STOCHASTIC LINARD EQUATION WITH MARKOVIAN SWITCHING[J].数学物理学报(B辑英文版),2005(1). |
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作者姓名: | 席福宝 赵丽琴 |
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作者单位: | Department of Mathematics Beijing Institute of Technology,Beijing 100081,China,Department of Mathematics Beijing Normal University,Beijing 100875,China |
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基金项目: | ThisprojectissupportedbytheNationalNaturalScienceFoundationofChina(19901001)
theSRFforROCS,SEM. |
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摘 要: | This paper considers a stochastic Lienard equation with Markovian switching. The Feller continuity of its solution is proved by the coupling method and a truncation argument. The existence of a stationary solution for the equation is also proved under the Foster-Lyapunov drift condition.
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