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02701nam a22004815i 4500 |
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978-3-540-31560-5 |
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|a 9783540315605
|9 978-3-540-31560-5
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|a 10.1007/b104187
|2 doi
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|a QA273.A1-274.9
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|a QA274-274.9
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|a MAT029000
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|a 519.2
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|a Cherny, Alexander S.
|e author.
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|a Singular Stochastic Differential Equations
|h [electronic resource] /
|c by Alexander S. Cherny, Hans-Jürgen Engelbert.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2005.
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|a VIII, 128 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1858
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|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.
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|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.
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|a Mathematics.
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|a Probabilities.
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|a Mathematics.
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|a Probability Theory and Stochastic Processes.
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|a Engelbert, Hans-Jürgen.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540240075
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1858
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|u http://dx.doi.org/10.1007/b104187
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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