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Singular stochastic differential equations / Alexander S. Cherny, Hans-Jürgen Engelbert.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1858.Publication details: Berlin : Springer, 2005.Description: 1 online resource (viii, 128 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540315605
  • 3540315608
  • 3540240071
  • 9783540240075
  • 9788354031567
  • 835403156X
Subject(s): Additional physical formats: Print version:: Singular stochastic differential equations.DDC classification:
  • 519.2 22
LOC classification:
  • QA274.23 .C44 2005eb
Other classification:
  • 31.70
Online resources:
Contents:
Introduction -- 1. Stochastic Differential Equations -- 2. One-Sided Classification of Isolated Singular Points -- 3. Two-Sided Classification of Isolated Singular Points -- 4. Classification at Infinity and Global Solutions -- 5. Several Special Cases -- Appendix A: Some Known Facts -- Appendix B: Some Auxiliary Lemmas -- Rferences -- Index of Notation -- Index of Terms.
In: Springer e-booksReview: "The authors introduce, in this research monograph on stochastic differential equations, a class of points termed isolated singular points. Stochastic differential equations possessing such points (called singular stochastic differential equations here) arise often in theory and in applications. However, known conditions for the existence and uniqueness of a solution typically fail for such equations. The book concentrates on the study of the existence, the uniqueness, and, what is most important, on the qualitative behaviour of solutions of singular stochastic differential equations. This is done by providing a qualitative classification of isolated singular points, into 48 possible types."--Jacket
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 119-121)-and indexes.

"The authors introduce, in this research monograph on stochastic differential equations, a class of points termed isolated singular points. Stochastic differential equations possessing such points (called singular stochastic differential equations here) arise often in theory and in applications. However, known conditions for the existence and uniqueness of a solution typically fail for such equations. The book concentrates on the study of the existence, the uniqueness, and, what is most important, on the qualitative behaviour of solutions of singular stochastic differential equations. This is done by providing a qualitative classification of isolated singular points, into 48 possible types."--Jacket

Print version record.

Introduction -- 1. Stochastic Differential Equations -- 2. One-Sided Classification of Isolated Singular Points -- 3. Two-Sided Classification of Isolated Singular Points -- 4. Classification at Infinity and Global Solutions -- 5. Several Special Cases -- Appendix A: Some Known Facts -- Appendix B: Some Auxiliary Lemmas -- Rferences -- Index of Notation -- Index of Terms.

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