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

Resource Information

The work Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

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

Title remainder

singularly perturbed differential equations on a Riemann surface

Statement of responsibility

Carlos Simpson

Creator

• Simpson, Carlos, 1962-

Contributor

• Simpson, Carlos, 1962-

Subject

• Differential equations -- Asymptotic theory
• Differential equations -- Asymptotic theory
• Differential equations -- Asymptotic theory
• Kompakte Riemannsche Fläche
• Riemann surfaces
• Riemann surfaces
• Riemann surfaces
• Riemann, Surfaces de
• Singuläre Störung
• System von gewöhnlichen Differentialgleichungen
• Équations différentielles -- Théorie asymptotique
• Asymptotische Entwicklung

Language

eng

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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1502

Action

digitized

Cataloging source

SPLNM

Dewey number

• 510 s
• 515/.352

Index

index present

LC call number

• QA3
• QA372

LC item number

.L28 no. 1502

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1502