Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface. Lecture notes in mathematics ; 1502

Simpson, Carlos,

ISBN 10: 3540550097 / ISBN 13: 9783540550099

Published by Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1991

About this Item

139 pages Ex-Library book in good condition. 9783540550099 Sprache: Englisch Gewicht in Gramm: 440.

Seller Inventory # 1162150

Bibliographic Details

• Title: Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface. Lecture notes in mathematics ; 1502
• Publisher: Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer
• Publication Date: 1991
• Language: English
• ISBN 10: 3540550097
• ISBN 13: 9783540550099
• Binding: Soft cover
• Seller catalogs:
  • AA Varia

About this title

Synopsis

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.