TY - BOOK AU - Liu,Kai TI - Stochastic stability of differential equations in abstract spaces T2 - London Mathematical Society lecture note series SN - 9781108626057 AV - QA274.23 .L5825 2019 U1 - 515/.35 23 PY - 2019/// CY - Cambridge, New York, NY PB - Cambridge University Press KW - Stochastic differential equations KW - Differential equations, Linear KW - Differential equations, Nonlinear KW - Algebraic spaces KW - Stability KW - Geometry, Algebraic KW - fast KW - MATHEMATICS / Calculus KW - bisacsh KW - MATHEMATICS / Mathematical Analysis KW - Electronic books N1 - Includes bibliographical references and index; Preliminaries -- Stability of linear stochastic differential equations -- Stability of non linear stochastic differential equations -- Stability of stochastic functional differential equations -- Some applications related to stochastic stability N2 - The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems. Its core material is divided into three parts devoted respectively to the stochastic stability of linear systems, non-linear systems, and time-delay systems. The focus is on stability of stochastic dynamical processes affected by white noise, which are described by partial differential equations such as the Navier-Stokes equations. A range of mathematicians and scientists, including those involved in numerical computation, will find this book useful. It is also ideal for engineers working on stochastic systems and their control, and researchers in mathematical physics or biology UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2091102 ER -