pth Moment Exponential Stability of Impulsive Stochastic Functional Differential Equations

• Qiaofeng Li ^[1] ; Jianli Li ^[1]
  1. [1] Hunan Normal University

     Hunan Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 1, 2025
• Idioma: inglés
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• Resumen

  • This paper centers on the exponential stability of impulsive stochastic functional differential equations. We give two related theorems. Initially, in the first theorem, we introduce a generalized Halanay inequality and use this generalized Halanay inequality to prove that impulsive stochastic functional differential equations are exponentially stable. Subsequently, in the second theorem, by Lyapunov second method, we obtain the exponential stability result for impulsive stochastic functional differential equations. Finally, the generalization and effectiveness of the results obtained are demonstrated through two examples.