Stability of Infinite Dimensional Stochastic Differential Equations with Applications

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Kai Liu

Stability of Infinite Dimensional Stochastic Differential Equations with Applications

Kai Liu

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English

Chapman & Hall/CRC
05 September 2019

Differential calculus & equations; Stochastics

Series: Monographs and Surveys in Pure and Applied Mathematics

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.

By: Kai Liu
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 430g
ISBN: 9780367392253
ISBN 10: 0367392259
Series: Monographs and Surveys in Pure and Applied Mathematics
Pages: 310
Publication Date: 05 September 2019
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

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.

Liu, Kai