Geodesic
Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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).
Classification : 34C27, 60H25, 34F05, 60H10
Keywords: square-mean almost periodic, almost periodic in distribution, Ornstein-Uhlenbeck, semilinear stochastic differential equation, stochastic evolution equation 
@article{EJDE_2013__2013__a25,
     author = {Mellah, Omar and de Fitte, Paul Raynaud},
     title = {Counterexamples to mean square almost periodicity of the solutions of some {SDEs} with almost periodic coefficients},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a25/}
}
TY  - JOUR
AU  - Mellah, Omar
AU  - de Fitte, Paul Raynaud
TI  - Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients
JO  - Electronic Journal of Differential Equations
PY  - 2013
VL  - 2013
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a25/
LA  - en
ID  - EJDE_2013__2013__a25
ER  - 
%0 Journal Article
%A Mellah, Omar
%A de Fitte, Paul Raynaud
%T Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients
%J Electronic Journal of Differential Equations
%D 2013
%V 2013
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a25/
%G en
%F EJDE_2013__2013__a25
Mellah, Omar; de Fitte, Paul Raynaud. Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a25/