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Markov调制的随机微分方程解的比较定理 被引量:1

On a comparison theorem for solutions of stochastic differential equations with Markoving switching
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摘要 证明了一维M arkov调制的随机微分方程解的比较定理。 A comparison heorem for solutions of one- dimensional stochastic with Markovian switching is obtaiwed.
作者 徐立峰
出处 《湖北师范学院学报(自然科学版)》 2006年第2期31-34,共4页 Journal of Hubei Normal University(Natural Science)
关键词 MARKOV过程 随机微分方程 比较定理 Markov process stochastic differential equation comparison theorm
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参考文献5

  • 1Mao X F.Stability of stochastic differential equations with Markovian switching[J].Stochastic Processes and their Appl,1999,79:45~67.
  • 2Ji Y,Chizeck H J.Controllability,stability and continuous-time Markovian jump linear quadratic control[J].IEEE Trans Automat Control,1990,35:777~789.
  • 3龚光鲁.随机微分方程引论(第二版)[M].北京:北京大学出版社,1976.
  • 4Ikeda N,watanabe S.Stochastic differential equations and diffusion processes[M].New York:Morlh-Holland Publishing Company.
  • 5Yamato T,Wataaabe S.On the uniqueness of solutions of stochastic differential equations[J].Math Kyato Univ 1971,(11):155~167.

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同被引文献5

  • 1龚光鲁.随机微分方程引论(第二版)[M].北京:北京大学出版社,1976.
  • 2Mao X F. Stability of stochastic differential equations with Markovian switching [ J ]. Stochastic Processes and their Appl, 1999,79(4) :45 -60.
  • 3Laksimikantham V,Zhang B G. On the method of sample upper and lower solutions for stochastic differential equations, Stochastic Anal[J]. And Appl,1985,3(3) :341 -347.
  • 4Ki Sik Ha ,Jai Heui Kim, Monotone iterative technique for 1 -dimensional stochastic differential equations, Stochastic Anal[J]. And Appl,1988,6(2):191 -203.
  • 5Ikeda N and watanabe S. Stochastic differential equations and diffusion processes [ M ]. New York: North - Holland Publishing Company, 1981.

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