Perturbed Nonlocal Stochastic Functional Differential Equations

• Zhang, Qi ^[1] ; Ren, Yong ^[2]
  1. [1] Anhui Normal University

     Anhui Normal University

     China

     
  2. [2] Beijing University of Civil Engineering and Architecture

     Beijing University of Civil Engineering and Architecture

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 3, 2020
• Idioma: inglés
• DOI: 10.1007/s12346-020-00421-1
• Enlaces
  • Texto completo
• Resumen

  • This paper discusses the asymptotic behavior of the solution for a class of perturbed nonlocal stochastic functional differential equations (SFDEs, in short). By comparing it with the solution of the corresponding unperturbed one, we derive the conditions under which their solutions are close. Firstly, the results are established on finite time-intervals. Then, we also show the results hold when the length of time-interval tends to infinity as small perturbations tend to zero.

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