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Square-mean $$\mu $$-pseudo almost periodic and automophic solutions for a class of semilinear integro-differential stochastic evolution equations

Afrika Matematika(2017)

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Abstract
In this work, we use the concept of \(\mu \)-square-mean pseudo almost periodic and automorphic processes introduced by Diop et al. (Afr Mat 26(5):779–812, 2015) to discuss the existence and uniqueness of solutions for some semilinear integro-differential stochastic evolution equations. We provide an example to illustrate ours results.
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Key words
$$\mu $$μ-Pseudo almost periodic solution, $$\mu $$μ-Pseudo almost automorphic solution, Completeness, Composition theorem, Stochastic processes, Stochastic integro-differential equation, 34C27, 34K14, 34K30, 34K50, 35B15, 35K55, 43A60, 60G20
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