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
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.