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); a  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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  1. Mamadou Moustapha Mbaye, Amadou Diop, Gaston Mandata N’Guérékata, "Square-mean S-Asymptotically $$\omega $$-Periodic Solutions for Some Stochastic Delayed Integrodifferential Inclusions." Vietnam Journal of Mathematics, vol. , no. , pp. , 2024.
  2. Solym Mawaki Manou‐Abi, William Dimbour, Mamadou Moustapha Mbaye, "Existence of an Asymptotically Periodic Solution for a Stochastic Fractional Integro‐differential Equation." In Mathematical Modeling of Random and Deterministic Phenomena, Publisher, Location, 2020.
  3. Solym Mawaki Manou-Abi, William Dimbour, "Asymptotically Periodic Solution of a Stochastic Differential Equation." Bulletin of the Malaysian Mathematical Sciences Society, vol. 43, no. 1, pp. 911, 2020.

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