## African Diaspora Journal of Mathematics

- Afr. Diaspora J. Math. (N.S.)
- Volume 12, Number 1 (2011), 60-79.

### $p$-th Mean Pseudo Almost Automorphic Mild Solutions to Some Nonautonomous Stochastic Differential Equations

#### Abstract

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.

#### Article information

**Source**

Afr. Diaspora J. Math. (N.S.), Volume 12, Number 1 (2011), 60-79.

**Dates**

First available in Project Euclid: 11 August 2011

**Permanent link to this document**

https://projecteuclid.org/euclid.adjm/1313092842

**Mathematical Reviews number (MathSciNet)**

MR2826842

**Zentralblatt MATH identifier**

1246.34056

**Subjects**

Primary: 34K14: Almost and pseudo-periodic solutions 60H10: Stochastic ordinary differential equations [See also 34F05] 35B15: Almost and pseudo-almost periodic solutions 34F05

**Keywords**

Stochastic differential equation square-mean pseudo almost automorphic $p$-th mean pseudo almost automorphic $p$-th mean pseudo almost periodic square-mean pseudo almost periodic Wiener process

#### Citation

Bezandry, P. H.; Diagana, T. $p$-th Mean Pseudo Almost Automorphic Mild Solutions to Some Nonautonomous Stochastic Differential Equations. Afr. Diaspora J. Math. (N.S.) 12 (2011), no. 1, 60--79. https://projecteuclid.org/euclid.adjm/1313092842