Stability of Infinite Dimensional Stochastic Differential Equations with Applications: 1st Edition (Paperback) book cover

Stability of Infinite Dimensional Stochastic Differential Equations with Applications

1st Edition

By Kai Liu

Chapman and Hall/CRC

312 pages

Purchasing Options:$ = USD
Paperback: 9780367392253
pub: 2019-09-05
SAVE ~$14.99
$74.95
$59.96
x
Hardback: 9781584885986
pub: 2005-08-23
SAVE ~$29.00
$145.00
$116.00
x
eBook (VitalSource) : 9780429150296
pub: 2005-08-23
from $28.98


FREE Standard Shipping!

Description

Stochastic differential equations in infinite dimensional spaces are motivated by the theory and analysis of stochastic processes and by applications such as stochastic control, population biology, and turbulence, where the analysis and control of such systems involves investigating their stability. While the theory of such equations is well established, the study of their stability properties has grown rapidly only in the past 20 years, and most results have remained scattered in journals and conference proceedings.

This book offers a systematic presentation of the modern theory of the stability of stochastic differential equations in infinite dimensional spaces - particularly Hilbert spaces. The treatment includes a review of basic concepts and investigation of the stability theory of linear and nonlinear stochastic differential equations and stochastic functional differential equations in infinite dimensions. The final chapter explores topics and applications such as stochastic optimal control and feedback stabilization, stochastic reaction-diffusion, Navier-Stokes equations, and stochastic population dynamics.

In recent years, this area of study has become the focus of increasing attention, and the relevant literature has expanded greatly. Stability of Infinite Dimensional Stochastic Differential Equations with Applications makes up-to-date material in this important field accessible even to newcomers and lays the foundation for future advances.

Table of Contents

Stochastic Differential Equations in Infinite Dimensions. Stability of Linear Stochastic Differential Equations. Stability of Non Linear Stochastic Differential Equations. Stability of Stochastic Functional Differential Equations. Some Related Topics of Stability and Applications.

About the Author

Liu, Kai

About the Series

Monographs and Surveys in Pure and Applied Mathematics

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT007000
MATHEMATICS / Differential Equations
MAT029010
MATHEMATICS / Probability & Statistics / Bayesian Analysis
SCI040000
SCIENCE / Mathematical Physics