Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-06-05

Journal: JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: SCIE

Volume: 260

Issue: 11

Page Number: 8109-8136

ISSN: 0022-0396

Key Words: Stochastic differential equation; Almost periodic solution; Favard separation; Amerio separation

Abstract: Favard separation method is an important means to study almost periodic solutions to linear differential equations; later, Amerio applied Favard's idea to nonlinear differential equations. In this paper, by appropriate choosing separation and almost periodicity in distribution sense, we obtain the Favard and Amerio type theorems for stochastic differential equations. (C) 2016 Elsevier Inc. All rights reserved.