S-asymptotically w-periodic solutions in the p-th mean for a Stochastic Evolution Equation driven by Q-Brownian motion
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
Author’s Name: Solym Mawaki Manou-Abi1,a), William Dimbour 2
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1CUFR Mayotte, IMAG-Montpellier, D´epartement Sciences et Technologies, 97660 Dembeni, France
2UMR Espace-Dev, Universit´e de Guyane, Campus de Troubiran 97300,Cayenne, France
a)Author to whom correspondence should be addressed. E-mail: solym.manou-abi@univ-mayotte.fr
Adv. Sci. Technol. Eng. Syst. J. 2(5), 124-133 (2017); 
DOI: 10.25046/aj020519
Keywords: Asymptotically periodic solution, Composition theorem, Evolutionary process, Stochastic evolution equation
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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.
Received: 10 June 2017, Accepted: 14 July 2017, Published Online: 28 December 2017
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