$p$-th Mean Pseudo Almost Automorphic Mild Solutions to Some Nonautonomous Stochastic Differential Equations
$p$-th Mean Pseudo Almost Automorphic Mild Solutions to Some Nonautonomous Stochastic Differential Equations
In this paper we first introduce and study the concepts of $p$-th mean pseudo almost automorphy and that of $p$-th mean pseudo almost periodicity for $p \geq 2$. Next, we make extensive use of the well-known Schauder fixed point principle to obtain the existence of $p$-th mean pseudo almost automorphic mild solutions to some nonautonomous stochastic differential equations.
Wiener process, 34K14, Stochastic differential equation, square-mean pseudo almost automorphic, square-mean pseudo almost periodic, 34F05, 60H10, $p$-th mean pseudo almost automorphic, $p$-th mean pseudo almost periodic, 35B15
Wiener process, 34K14, Stochastic differential equation, square-mean pseudo almost automorphic, square-mean pseudo almost periodic, 34F05, 60H10, $p$-th mean pseudo almost automorphic, $p$-th mean pseudo almost periodic, 35B15
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