Abstract
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.
Citation
Zuomao Yan. Hongwu Zhang. "Existence of Stepanov-like square-mean pseudo almost periodic solutions to partial stochastic neutral differential equations." Ann. Funct. Anal. 6 (1) 116 - 138, 2015. https://doi.org/10.15352/afa/06-1-10
Information