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

• Tomás Caraballo ^[1] ; Faten Ezzine ^[2] ; Mohamed Ali Hammami ^[2]
  1. [1] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
  2. [2] University of Sfax

     University of Sfax

     Túnez

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 2, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.

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