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Square-mean almost periodic solutions to some singular stochastic differential equations

Applied Mathematics Letters(2016)

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Abstract
This paper is aimed at studying the existence of square-mean almost periodic solutions to some singular stochastic differential equations with square-mean almost periodic coefficients. Using the block diagonal form of a linear operator on the suitable space, we establish an existence result under some appropriate assumptions.
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Key words
Singular stochastic differential equation,Square-mean almost periodic process,Mild solution,Block diagonal form,Projection
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