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

• Autore: Cherny Alexander S.
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2005]; ©2005
• Edizione: 1st ed. 2005.
• Descrizione fisica: 1 online resource (VIII, 128 p.)
• Disciplina: 519.2
• Soggetto topico: Stochastic differential equations
• Classificazione: 31.70
• Persona (resp. second.): EngelbertHans Jürgen
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (pages [119]-121) and indexes.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Singular stochastic differential equations
• ISBN: 3-540-31560-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466497703316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1858