Perturbed Second-Order Stochastic Evolution Equations

• Cheng, Lijuan ^[1] ; Ren, Yong ^[2]
  1. [1] Lingnan Normal University

     Lingnan Normal University

     China

     
  2. [2] Anhui Normal University

     Anhui Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 2, 2021
• Idioma: inglés
• DOI: 10.1007/s12346-021-00475-9
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• Resumen

  • In this paper, we discuss a class of perturbed second-order stochastic evolution equations. A perturbed second-order stochastic evolution equation for the unperturbed one is proposed. We show the mild solutions of perturbed second-order stochastic evolution equation and the unperturbed one are close on finite time-interval and on interval whose length tends to infinity as small perturbations tend to zero. A class of stochastic partial differential equations with perturbations is proposed as an application to illustrate the theoretical results.

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