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Stability of Infinite Dimensional Stochastic Differential Equations with Applications
Af: Kai Liu Engelsk Paperback
SPAR
kr 103
Stability of Infinite Dimensional Stochastic Differential Equations with Applications
Af: Kai Liu Engelsk Paperback
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 310
ISBN-13: 9780367392253
Indbinding: Paperback
Udgave:
ISBN-10: 0367392259
Udg. Dato: 5 sep 2019
Længde: 0mm
Bredde: 234mm
Højde: 156mm
Oplagsdato: 5 sep 2019
Forfatter(e): Kai Liu
Forfatter(e) Kai Liu


Kategori Differentialregning & ligninger


Sprog Engelsk


Indbinding Paperback


Sider 310


Udgave


Længde 0mm


Bredde 234mm


Højde 156mm


Udg. Dato 5 sep 2019


Oplagsdato 5 sep 2019

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