Stability of Infinite Dimensional Stochastic Differential Equations with Applications (Monographs and Surveys in Pure and Applied Mathematics)

Liu, Kai

ISBN 10: 158488598X / ISBN 13: 9781584885986

Verlag: Chapman and Hall/CRC, 2005

In. Bestandsnummer des Verkäufers ria9781584885986_new

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: Liu, Kai

Bibliografische Details

Titel: Stability of Infinite Dimensional Stochastic...
Verlag: Chapman and Hall/CRC
Erscheinungsdatum: 2005
Einband: Hardcover
Zustand: New