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Stability of invariant sets of Itô stochastic differential equations with Markovian switching

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  • Jiaowan Luo

Abstract

Consider the nonlinear Itô stochastic differential equations with Markovian switching, some sufficient conditions for the invariance, stochastic stability, stochastic asymptotic stability, and instability of invariant sets of the equations are derived.

Suggested Citation

  • Jiaowan Luo, 2006. "Stability of invariant sets of Itô stochastic differential equations with Markovian switching," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-6, April.
  • Handle: RePEc:hin:jnijsa:059032
    DOI: 10.1155/JAMSA/2006/59032
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