S-asymptotically ω-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion

Solym Manou-Abi; William Dimbour

doi:10.25046/aj020519

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S-asymptotically ω-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion

Journal article

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S-asymptotically ω-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion

Solym Manou-Abi and William Dimbour

Advances in Science, Technology and Engineering Systems Journal, Vol.2, pp.124-133

2017

DOI: https://doi.org/10.25046/aj020519

Abstract

Composition theorem

Stochastic evolution equation

Asymptotically periodic solution

Evolutionary process

In this paper, we study the existence (uniqueness) and asymptotic stability of the p-th mean S-asymptotically ω-periodic solutions for some non-autonomous Stochastic Evolution Equations driven by a Q-Brownian motion. This is done using the Banach fixed point Theorem and a Gron-wall inequality.

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Title: S-asymptotically ω-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion
Creators - without role: Solym Manou-Abi - Université de Mayotte
William Dimbour - Université de Montpellier, Observation Spatiale, Modèles et Science Impliquée - ESPACE DEV
Publication Details: Advances in Science, Technology and Engineering Systems Journal, Vol.2, pp.124-133
Identifiers: 9946349409311
Academic Unit: Observation Spatiale, Modèles et Science Impliquée - ESPACE DEV; Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-01672807