Periodic and almost periodic solutions for semilinear stochastic equations
- 1 January 1995
- journal article
- research article
- Published by Taylor & Francis Ltd in Stochastic Analysis and Applications
- Vol. 13 (1), 13-33
- https://doi.org/10.1080/07362999508809380
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.This publication has 17 references indexed in Scilit:
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