Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients

We show that, contrarily to what is claimed in some papers, the nontrivial solutions of some stochastic differential equations with almost periodic coefficients are never mean square almost periodic (but they can be almost periodic in distribution).

Bibliographic Details
Main Authors: Omar Mellah, Paul Raynaud de Fitte
Format: Article
Language:English
Published: Texas State University 2013-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/91/abstr.html