UNIVERSITY OF MANCHESTER/UMIST
MATHEMATICS DEPARTMENTS
Seminars 1999
Time & place:
June 15, 1999, 2.30 pm
Room 2-10, Mathematics Building,
Oxford Road
Title: LaSalle-type theorems for SDDEs
Professor Xuerong Mao (Strathclyde University)
The LaSalle theorem (proved in 1960s) for locating limit sets of
ordinary differential equations (ODEs) is well-known. However there is
no stochastic version until recent publication of Prof Mao's paper
(J. Differential Equations 153 (1999), 175-195) where our speaker
established several stochastic LaSalle-type theorems for Stochastic
Differential Equations. But to cope with Stochastic Delay Differential
Equations (SDDEs) we need several new techniques which will be
discussed here. Prof Mao will demonstrate that from his new stochastic
LaSalle-type theorems follow many important properties of SDDEs
e.g. asymptotic stability, boundedness.
The talk will be aimed at an audience interested in stochastic
calculus, and modelling with DDEs and Stochastic DDEs.
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