Square-mean asymptotically almost automorphic mild solutions to non-autonomous stochastic differential equations

Zhi-Hong Lia,* and Zhi-Han Zhaob

Square-mean asymptotically almost automorphic mild solutions to non-autonomous stochastic differential equations

Authors :

Zhi-Hong Li^a,* and Zhi-Han Zhao^b

Author Address :

^aDepartment of Mathematics, Lanzhou Jiaotong University, Lanzhou - 730070, P. R. China.
^bDepartment of Information Engineering, Sanming University, Sanming - 365004, P. R. China.

*Corresponding author.

Abstract :

This paper is mainly concerned with square-mean asymptotically almost automorphic mild solutions to a class of non-autonomous stochastic differential equations in a real separable Hilbert space. Some existence results of square-mean asymptotically almost automorphic mild solutions have been established by properties and composition theroems of square-mean asymptotically almost automorphic functions and fixed point theorems.

Keywords :

Non-autonomous differential equation, Square-mean asymptotically almost automorphic.

DOI :

Article Info :

Received : January 04, 2014; Accepted : March 03, 2014.