Existence and global attractiveness of a square‐mean μ‐pseudo almost automorphic solution for some stochastic evolution equation driven by Lévy noise

作者: Mamadou Abdoul Diop , Khalil Ezzinbi , Mamadou Moustapha Mbaye

DOI: 10.1002/MANA.201500345

关键词:

摘要: In this work, we introduce the concept of μ-pseudo almost automorphic processes in distribution. We use μ-ergodic process to define spaces square mean sense. establish many interesting results on functional space such like a composition theorem. Under some appropriate assumptions, existence, uniqueness and stability square-mean solutions distribution class abstract stochastic evolution equations driven by Levy noise. provide an example illustrate our results.

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