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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Bibliografske podrobnosti
Glavni avtor: Simpson, Carlos, 1962-
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija:Lecture notes in mathematics 1502
Teme:
Online dostop:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Sporočilo: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Asymptotic behavior of monodromy, singularly perturbed differential equations on a Riemann Surface, Carlos Simpson, 1991, Berlin, Springer-Verlag, 1 vol. (139 p.), Lecture notes in mathematics, 3-540-55009-7
• Asymptotic Behavior of Monodromy, Texte imprimé, 9783662193624
Kazalo:
  • 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.