THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION

الموضوعات : فصلنامه ریاضی

Siavosh Ahmadi ¹ (Tehran north branch-Azad University-iran Iran, Islamic Republic of I'm an Assistant Professor of Applied Mathematics at the University of Azad university. I received my doctorate in Fluid mechanics fro pune University. My recent publication include "Tornado Dynamics" in the journal of karaj Azad university.)

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 11 الأحد , جمادى الثانية, 1437

الکلمات المفتاحية: Stochastic dierential equations, quadratic mean almost periodic, analytic semigroups of linear operators,

ملخص المقالة :

This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined with the Banachcontraction mapping principle and an analytic semigroup of linear operators.

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