Hidden Bibliographic Details
| Other authors / contributors: | Simpson, Carlos, 1962-
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| ISBN: | 9783540466413
354046641X
3540550097
9783540550099
0387550097
9780387550091
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| Notes: | Includes bibliographical references (pages 135-137) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
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| Summary: | This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. A particular classof families of equations is considered, where the answer exhibits a new kind of behavior not seen in most work known until now. The techniques include Laplace transform and the method of stationary phase, and a combinatorial technique for estimating the contributions of terms in an infinite series expansion for the solution. Addressed primarily to researchers inalgebraic geometry, ordinary differential equations and complex analysis, the book will also be of interest to applied mathematicians working on asymptotics of singular perturbations and numerical solution of ODE's.
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| Other form: | Print version: Simpson, Carlos, 1962- Asymptotic behavior of monodromy. Berlin ; New York : Springer-Verlag, ©1991 3540550097
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