
doi: 10.15352/afa/06-1-10
In this paper, we introduce the concept of Stepanov-like square-mean pseudo almost periodic functions and establish the existence and uniqueness of square-mean almost periodic mild solutions for several neutral partial stochastic differential equations with Stepanov-like almost periodic coefficients in a real separable Hilbert space. Moreover, two examples are given to illustrate the general theorems.
34K14, Stepanov-like pseudo almost periodic, 34F05, Neutral partial stochastic differential equations, 60H10, Square-mean pseudo almost periodic, Exponentially stable semigroup, 35B15
34K14, Stepanov-like pseudo almost periodic, 34F05, Neutral partial stochastic differential equations, 60H10, Square-mean pseudo almost periodic, Exponentially stable semigroup, 35B15
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