Stochastic Differential Equations and Applications (Dover Books on Mathematics) - Softcover

Friedman, Prof. Avner

Softcover

ISBN 10: 0486453596 ISBN 13: 9780486453590

Publisher: Dover Publications, 2006

Synopsis

This text develops the theory of systems of stochastic differential equations, and it presents applications in probability, partial differential equations, and stochastic control problems. Originally published in two volumes, it combines a book of basic theory and selected topics with a book of applications.
The first part explores Markov processes and Brownian motion; the stochastic integral and stochastic differential equations; elliptic and parabolic partial differential equations and their relations to stochastic differential equations; the Cameron-Martin-Girsanov theorem; and asymptotic estimates for solutions. The section concludes with a look at recurrent and transient solutions.
Volume 2 begins with an overview of auxiliary results in partial differential equations, followed by chapters on nonattainability, stability and spiraling of solutions; the Dirichlet problem for degenerate elliptic equations; small random perturbations of dynamical systems; and fundamental solutions of degenerate parabolic equations. Final chapters examine stopping time problems and stochastic games and stochastic differential games. Problems appear at the end of each chapter, and a familiarity with elementary probability is the sole prerequisite.

About this title

About the Author

Avner Friedman is Professor of Mathematics at Ohio State University.

Edition details

• Publisher: Dover Publications
• Publication date: 2006
• Language: English
• ISBN 10: 0486453596
• ISBN 13: 9780486453590
• Binding: Paperback
• Number of pages: 560