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Stochastic Differential Equations and Applications

Stochastic Differential Equations and Applications
Author: X Mao
Publisher: Elsevier
Total Pages: 445
Release: 2007-12-30
Genre: Mathematics
ISBN: 085709940X

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This advanced undergraduate and graduate text has now been revised and updated to cover the basic principles and applications of various types of stochastic systems, with much on theory and applications not previously available in book form. The text is also useful as a reference source for pure and applied mathematicians, statisticians and probabilists, engineers in control and communications, and information scientists, physicists and economists. Has been revised and updated to cover the basic principles and applications of various types of stochastic systems Useful as a reference source for pure and applied mathematicians, statisticians and probabilists, engineers in control and communications, and information scientists, physicists and economists


Applied Theory of Functional Differential Equations

Applied Theory of Functional Differential Equations
Author: V Kolmanovskii
Publisher:
Total Pages: 256
Release: 1992-11-30
Genre:
ISBN: 9789401580854

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This volume provides an introduction to the properties of functional differential equations and their applications in diverse fields such as immunology, nuclear power generation, heat transfer, signal processing, medicine and economics. In particular, it deals with problems and methods relating to systems having a memory (hereditary systems). The book contains eight chapters. Chapter 1 explains where functional differential equations come from and what sort of problems arise in applications. Chapter 2 gives a broad introduction to the basic principle involved and deals with systems having discrete and distributed delay. Chapters 3-5 are devoted to stability problems for retarded, neutral and stochastic functional differential equations. Problems of optimal control and estimation are considered in Chapters 6-8. For applied mathematicians, engineers, and physicists whose work involves mathematical modeling of hereditary systems. This volume can also be recommended as a supplementary text for graduate students who wish to become better acquainted with the properties and applications of functional differential equations.


Stability of Infinite Dimensional Stochastic Differential Equations with Applications

Stability of Infinite Dimensional Stochastic Differential Equations with Applications
Author: Kai Liu
Publisher: CRC Press
Total Pages: 311
Release: 2005-08-23
Genre: Mathematics
ISBN: 1420034820

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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 establ


Stochastic Functional Differential Equations

Stochastic Functional Differential Equations
Author: S. E. A. Mohammed
Publisher: Pitman Advanced Publishing Program
Total Pages: 268
Release: 1984
Genre: Mathematics
ISBN:

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Stability of Functional Differential Equations

Stability of Functional Differential Equations
Author:
Publisher: Elsevier
Total Pages: 233
Release: 1986-04-15
Genre: Mathematics
ISBN: 0080963145

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This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.


Applied Stochastic Differential Equations

Applied Stochastic Differential Equations
Author: Simo Särkkä
Publisher: Cambridge University Press
Total Pages: 327
Release: 2019-05-02
Genre: Business & Economics
ISBN: 1316510085

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With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.


Stochastic Differential Equations and Applications

Stochastic Differential Equations and Applications
Author: Avner Friedman
Publisher: Academic Press
Total Pages: 317
Release: 2014-06-20
Genre: Mathematics
ISBN: 1483217884

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Stochastic Differential Equations and Applications, Volume 2 is an eight-chapter text that focuses on the practical aspects of stochastic differential equations. This volume begins with a presentation of the auxiliary results in partial differential equations that are needed in the sequel. The succeeding chapters describe the behavior of the sample paths of solutions of stochastic differential equations. These topics are followed by a consideration of an issue whether the paths can hit a given set with positive probability, as well as the stability of paths about a given manifold and with spiraling of paths about this manifold. Other chapters deal with the applications to partial equations, specifically with the Dirichlet problem for degenerate elliptic equations. These chapters also explore the questions of singular perturbations and the existence of fundamental solutions for degenerate parabolic equations. The final chapters discuss stopping time problems, stochastic games, and stochastic differential games. This book is intended primarily to undergraduate and graduate mathematics students.