Kai Liu's Stability of Infinite Dimensional Stochastic Differential PDF

By Kai Liu

Stochastic differential equations in limitless dimensional areas are prompted by way of the speculation and research of stochastic methods and via functions similar to stochastic keep an eye on, inhabitants biology, and turbulence, the place the research and keep watch over of such platforms includes investigating their balance. whereas the idea of such equations is definitely tested, the research in their balance houses has grown speedily in simple terms some time past two decades, and such a lot effects have remained scattered in journals and convention proceedings.

This e-book bargains a scientific presentation of the fashionable conception of the steadiness of stochastic differential equations in countless dimensional areas - fairly Hilbert areas. The therapy encompasses a overview of uncomplicated recommendations and research of the steadiness concept of linear and nonlinear stochastic differential equations and stochastic useful differential equations in endless dimensions. the ultimate bankruptcy explores issues and functions resembling stochastic optimum keep watch over and suggestions stabilization, stochastic reaction-diffusion, Navier-Stokes equations, and stochastic inhabitants dynamics.

In contemporary years, this sector of analysis has turn into the focal point of accelerating consciousness, and the suitable literature has extended enormously. balance of limitless Dimensional Stochastic Differential Equations with purposes makes up to date fabric during this vital box available even to newbies and lays the root for destiny advances.

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

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