Table of contents for Stochastic differential equations : an introduction with applications / Bernt ksendal.


Bibliographic record and links to related information available from the Library of Congress catalog


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Introduction.- Some Mathematical Preliminaries.- Itô Integrals.- Itô Formula and the Martingale Representation Theorem.- Stochastic Differential Equations.- The Filtering Problem.- Diffusions: Basic Properties.- Other Topics in Diffusion Theory.- Applications to Boundary Value Problems.- Applications to Optimal Stopping.- Application to Stochastic Control.- Application to Mathematical Finance.- Appendix A: Normal Random Variables.- Appendix B: Conditional Expectations.- 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.


Library of Congress subject headings for this publication:
Stochastic differential equations.