Almost automorphic solution for some stochastic evolution equation driven by Lévy noise with coefficients S²−almost automorphic

• Autorzy: Mamadou Moustapha Mbaye
• Języki publikacji: EN

Abstrakty

EN

In this work we first introduce the concept of Poisson Stepanov-like almost automorphic (Poisson S2−almost automorphic) processes in distribution. We establish some interesting results on the functional space of such processes like an composition theorems. Next, under some suitable assumptions, we establish the existence, the uniqueness and the stability of the square-mean almost automorphic solutions in distribution to a class of abstract stochastic evolution equations driven by Lévy noise in case when the functions forcing are both continuous and S2−almost automorphic. We provide an example to illustrate ours results.

Słowa kluczowe

EN

almost automorphic solution; composition theorem; stochastic processes; stochastic evolutionequations; Lévy noise

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2016
• Tom: 3
• Numer: 1
• Strony: 85-103

Daty

otrzymano

2016-03-11

zaakceptowano

2016-06-13

online

2016-07-07

Twórcy

autor

Mamadou Moustapha Mbaye

• Université Gaston Berger de Saint-Louis, UFR SAT, Département de Mathématiques, B.P. 234, Saint-Louis Sénégal

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Identyfikatory

DOI

10.1515/msds-2016-0005