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Solution and asymptotic behavior of stochastic evolutions equations with state dependent delay in infinite dimensional space

Abdelkader MOULAY

Abstract


In this paper, we study the existence of mild solutions for a class of stochastic functional-differential equations with state-dependent delay as well as the the existence of asymptotic stability in p-th moment of mild solutions. The method for investigating the stability of solutions is based on the fixed point theorem.

Keywords


Cauchy problem, fixed point, stochastic dierential equations, mild solutions, state-dependent delay, stability.

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