STABILITY WITH A GENERAL RATE-FUNCTION FOR A CLASS OF STOCHASTIC-EVOLUTION EQUATIONS IN INFINITE-DIMENSIONAL SPACES

Authors
LIU K
Citation
K. Liu, STABILITY WITH A GENERAL RATE-FUNCTION FOR A CLASS OF STOCHASTIC-EVOLUTION EQUATIONS IN INFINITE-DIMENSIONAL SPACES, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 63, 1997, pp. 128-144
Citations number
20
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
63
Year of publication
1997
Part
1
Pages
128 - 144
Database
ISI
SICI code
0263-6115(1997)63:<128:SWAGRF>2.0.ZU;2-K
Abstract
The aim of this paper is to investigate the almost sure stability with a certain rate function lambda(t) for a class of stochastic evolution equations in infinite dimensional spaces under various sufficient con ditions. The results obtained here include exponential and polynomial stability as special cases. Much more refined sufficient conditions th an the usual ones, for example, those described in [14], are obtained under our framework by the method of Liapunov functions. Two examples are given to illustrate our theory.