ENGLISH

Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface

By Carlos Simpson (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1991
ISBN
3540550097, 9783540550099, 3540550097-:, 0387550097
DOI
10.1007/BFb0094551
LCC
QA3 .L28 no. 1502,QA372 .L28 no. 1502
Open Library ID
OL1558340M
Language
english
Format
DJVU
Filesize
915 kB (937094 bytes)
Series
Lecture Notes in Mathematics 1502
Edition
1
Pages
142\148
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Analysis; Algebraic Geometry

Description

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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