Stochastic differential equations : an introduction with applications

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Bibliographic Details
Main Author Oksendal, Bernt
Format eBook Book
LanguageEnglish
Published Berlin ; New York Springer 2000
Springer Berlin / Heidelberg
Edition5
Subjects
Online AccessGet full text
ISBN9783540637202
3540637206
DOI10.1007/978-3-642-14394-6

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Author Øksendal, Bernt Karsten
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ISBN 9783540637202
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Notes Includes bibliographical references (p. [313]-318) and index
"Corrected second printing 2000"--T.p. verso
OCLC 936316489
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Springer Berlin / Heidelberg
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SubjectTerms Stochastic differential equations
TableOfContents Universitext -- Stochastic Differential Equations An Introduction with Applications Fifth Edition -- Copyright -- Preface to the Fifth Edition -- Preface to the Fourth Edition -- Preface to the Third Edition -- Preface to the Second Edition -- Preface to the First Edition -- Table of Contents -- 1. Introduction -- 2. Some Mathematical Preliminaries -- 3. Ito Integrals -- 4. The Ito Formula and the Martingale Representation Theorem -- 5. Stochastic Differential Equations -- 6. The Filtering Problem -- 7. Diffusions: Basic Properties -- 8. Other Topics in Diffusion Theory -- 9. Applications to Boundary Value Problems -- 10. Application to Optimal Stopping -- 11. Application to Stochastic Control -- 12. Application to Mathematical Finance -- Appendix A: Normal Random Variables -- Appendix B: Conditional Expectation -- Appendix C: Uniform Integrability and Martingale Convergence -- Appendix D: An Approximation Result -- Solutions and Additional Hints to Some of the Exercises -- References -- List of Frequently Used Notation and Symbols -- Index
Title Stochastic differential equations : an introduction with applications
URI https://cir.nii.ac.jp/crid/1130000793993571968
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