Singular stochastic differential equations /

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Bibliographic Details
Author / Creator:Cherny, Alexander S.
Imprint:Berlin : Springer, 2005.
Description:1 online resource (viii, 128 pages) : illustrations.
Language:English
Series:Lecture notes in mathematics, 0075-8434 ; 1858
Lecture notes in mathematics (Springer-Verlag) ; 1858.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11068204
Hidden Bibliographic Details
Other authors / contributors:Engelbert, Hans Jürgen.
ISBN:9783540315605
3540315608
3540240071
9783540240075
Notes:Includes bibliographical references (pages 119-121)-and indexes.
Print version record.
Summary:"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.
Other form:Print version: Cherny, Alexander S. Singular stochastic differential equations. Berlin : Springer, 2005 3540240071
Standard no.:10.1007/b104187

MARC

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245 1 0 |a Singular stochastic differential equations /  |c Alexander S. Cherny, Hans-Jürgen Engelbert. 
260 |a Berlin :  |b Springer,  |c 2005. 
300 |a 1 online resource (viii, 128 pages) :  |b illustrations. 
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490 1 |a Lecture notes in mathematics,  |x 0075-8434 ;  |v 1858 
504 |a Includes bibliographical references (pages 119-121)-and indexes. 
520 1 |a "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. 
588 0 |a Print version record. 
505 0 |a 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. 
650 0 |a Stochastic differential equations.  |0 http://id.loc.gov/authorities/subjects/sh85128177 
650 6 |a Équations différentielles stochastiques. 
650 7 |a Stochastic differential equations.  |2 fast  |0 (OCoLC)fst01133506 
650 1 7 |a Stochastische differentiaalvergelijkingen.  |2 gtt 
650 1 7 |a Équation différentielle stochastique.  |2 rasuqam 
650 7 |a Mathematical Statistics.  |2 hilcc 
650 7 |a Mathematics.  |2 hilcc 
650 7 |a Physical Sciences & Mathematics.  |2 hilcc 
655 4 |a Electronic books. 
700 1 |a Engelbert, Hans Jürgen.  |0 http://id.loc.gov/authorities/names/n80160825  |1 http://viaf.org/viaf/24686609 
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