Periodic and almost periodic solutions for semilinear stochastic equations

Authors: G. Da Prato - ^a; Constantin Tudor - ^b

Affiliations:	^a Seuola Normale Superiore di Pisa,
	^b Faculty of Mathematics, University of Bucharest, Bucharest, Romania

DOI: 10.1080/07362999508809380

Publication Frequency: 6 issues per year

Published in: journal

Stochastic Analysis and Applications, Volume 13, Issue 1 1995 , pages 13 - 33

Subjects: Statistics & Probability; Stochastic Models & Processes;

Formats available: PDF (English)

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Abstract

We discuss the problem of the existence of periodic and almost periodic solutions in distribution of semilinear stochastic equations on a separable Hilbert space.

Under a dissipativity condition we prove that the translation of the mean square bounded solution is periodic or almost periodic. Similar results hold in the affine case under mean square stability of the linear part of the equation.

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Periodic and almost periodic solutions for semilinear stochastic equations

Abstract