Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface /

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 equ...

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Bibliographic Details
Main Author:	Simpson, Carlos, 1962-
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer-Verlag, [1991]
Series:	Lecture notes in mathematics (Springer-Verlag) ; 1502.
Subjects:	Differential equations > Asymptotic theory. Riemann surfaces. Équations différentielles > Théorie asymptotique. Riemann, Surfaces de. Singuläre Störung. Kompakte Riemannsche Fläche. System von gewöhnlichen Differentialgleichungen. Asymptotische Entwicklung. Electronic books.
Online Access:	Connect to the full text of this electronic book

Description
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.
Item Description:	Electronic resource.
Physical Description:	1 online resource (139 pages)
Format:	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.
Bibliography:	Includes bibliographical references (pages [135]-137) and index.
ISBN:	9783540466413 (electronic bk.) 354046641X (electronic bk.)
ISSN:	0075-8434 ;