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Singular Stochastic Differential Equations

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. Howe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cherny, Alexander S. (Autor), Engelbert, Hans-Jürgen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Lecture Notes in Mathematics, 1858
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Singular Stochastic Differential Equations  |h [electronic resource] /  |c by Alexander S. Cherny, Hans-Jürgen Engelbert. 
250 |a 1st ed. 2005. 
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300 |a VIII, 128 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 1858 
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. 
520 |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. 
650 0 |a Probabilities. 
650 1 4 |a Probability Theory. 
700 1 |a Engelbert, Hans-Jürgen.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783540805694 
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