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arxiv: math/0201275 · v1 · submitted 2002-01-29 · 🧮 math.PR · math.DS

Existence And Uniqueness Of Stationary Solution Of Nonlinear Stochastic Differential Equation With Memory

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keywords equationsolutiondifferentialexistencememorynonlinearstationarystochastic
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A stochastic differential equation with infinite memory is considered. The drift coefficient of the equation is a nonlinear functional of the past history of the solution. Sufficient conditions for existence and uniqueness of stationary solution are given.

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