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The Resource Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface, Carlos Simpson

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

Label
Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface
Title
Asymptotic behavior of monodromy
Title remainder
singularly perturbed differential equations on a Riemann surface
Statement of responsibility
Carlos Simpson
Creator
Contributor
Subject
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
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1962-
http://library.link/vocab/creatorName
Simpson, Carlos
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
http://library.link/vocab/relatedWorkOrContributorDate
1962-
http://library.link/vocab/relatedWorkOrContributorName
Simpson, Carlos
Series statement
Lecture notes in mathematics,
Series volume
1502
http://library.link/vocab/subjectName
  • Differential equations
  • Riemann surfaces
  • Équations différentielles
  • Riemann, Surfaces de
  • Differential equations
  • Riemann surfaces
  • Singuläre Störung
  • Kompakte Riemannsche Fläche
  • System von gewöhnlichen Differentialgleichungen
  • Asymptotische Entwicklung
Label
Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface, Carlos Simpson
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 135-137) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ordinary differential equations on a Riemann surface -- Laplace transform, asymptotic expansions, and the method of stationary phase -- Construction of flows -- Moving relative homology chains -- The main lemma -- Finiteness lemmas -- Sizes of cells -- Moving the cycle of integration -- Bounds on multiplicities -- Regularity of individual terms -- Complements and examples -- The Sturm-Liouville problem
Control code
277138032
Dimensions
unknown
Extent
1 online resource (139 pages).
Form of item
online
Isbn
9783540466413
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277138032
System details
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.
Label
Asymptotic behavior of monodromy : singularly perturbed differential equations on a Riemann surface, Carlos Simpson
Publication
Bibliography note
Includes bibliographical references (pages 135-137) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Ordinary differential equations on a Riemann surface -- Laplace transform, asymptotic expansions, and the method of stationary phase -- Construction of flows -- Moving relative homology chains -- The main lemma -- Finiteness lemmas -- Sizes of cells -- Moving the cycle of integration -- Bounds on multiplicities -- Regularity of individual terms -- Complements and examples -- The Sturm-Liouville problem
Control code
277138032
Dimensions
unknown
Extent
1 online resource (139 pages).
Form of item
online
Isbn
9783540466413
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277138032
System details
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.

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      38.944491 -92.326012
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