Singular stochastic differential equations
著者
書誌事項
Singular stochastic differential equations
（Lecture notes in mathematics, 1858）
Springer, c2005
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注記
Includes bibliographical references (p. [119]-121) and indexes
HTTP:URL=http://dx.doi.org/10.1007/b104187
HTTP:URL=http://www.loc.gov/catdir/enhancements/fy0663/2004115716-d.html Information=Publisher description
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内容説明・目次
内容説明
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.
目次
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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