Asymptotic Analysis for Functional Stochastic Differential Equations

This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by f...

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Bibliographic Details
Main Authors: Bao, Jianhai (Author), Yin, George (Author), Yuan, Chenggui (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Series:SpringerBriefs in Mathematics,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity. This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.
Physical Description:XVI, 151 p. online resource.
ISBN:9783319469799
ISSN:2191-8198