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

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

Volume 2, Issue 5, Page No 124–133, 2017

1 CUFR Mayotte, IMAG-Montpellier, D´epartement Sciences et Technologies, 97660 Dembeni, France
2 UMR Espace-Dev, Universit´e de Guyane, Campus de Troubiran 97300,Cayenne, France
*whom correspondence should be addressed. E-mail: solym.manou-abi@univ-mayotte.fr

Adv. Sci. Technol. Eng. Syst. J. 2(5), 124–133 (2017); crossref symbol DOI: 10.25046/aj020519

Keywords: Asymptotically periodic solution, Composition theorem, Evolutionary process, Stochastic evolution equation

Received: 10 June 2017, Accepted: 14 July 2017, Published Online: 28 December 2017
(This article belongs to Section Applied Mathematics (MAP))
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In this paper, we study the existence (uniqueness) and asymptotic stability of the p-th mean S-asymptotically !-periodic solutions for some nonautonomous Stochastic Evolution Equations driven by a Q-Brownian motion. This is done using the Banach fixed point Theorem and a Gronwall inequality.

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