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<p>In this paper, theoretical investigation has been made on the partial practical polynomial stability of stochastic differential equations. We present sufficient conditions guaranteeing the almost sure polynomial stability with respect to a part of the variables. The proofs are done via Itô’s formula and the Lyapunov method. An example is given to show the application of the main results.</p>

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Boundedness and Partial Convergence of Solution of a Class of Stochastic Differential Equations

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • Tomás Caraballo,
  • Faten Ezzine,
  • Mohamed Ali Hammami

摘要

In this paper, theoretical investigation has been made on the partial practical polynomial stability of stochastic differential equations. We present sufficient conditions guaranteeing the almost sure polynomial stability with respect to a part of the variables. The proofs are done via Itô’s formula and the Lyapunov method. An example is given to show the application of the main results.