THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION

International Journal of Mathematical Modelling & Computations

مقاله 5، دوره 6، 1 (WINTER)، فروردین 2016، صفحه 49-59   

نویسنده

Siavosh Ahmadi

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.

چکیده

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. The
main technique is based upon an appropriate composition theorem combined with the Banach
contraction mapping principle and an analytic semigroup of linear operators.
 

کلیدواژه‌ها

Stochastic dierential equations؛ quadratic mean almost periodic؛ analytic semigroups of linear operators

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