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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1502 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
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 |
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| 084 | |a 34D15. 1991 | ||
| 084 | |a 14E20. 1991 | ||
| 084 | |a 30E15. 1991 | ||
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| 100 | 1 | |a Simpson, Carlos, |d 1962- | |
| 245 | 1 | 0 | |a Asymptotic Behavior of Monodromy : |b Singularly Perturbed Differential Equations on a Riemann Surface |c Carlos Simpson. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1502 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Surfaces de Riemann | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Équations différentielles |x Théorie asymptotique | ||
| 776 | 0 | |0 013440535 |t Asymptotic behavior of monodromy |o singularly perturbed differential equations on a Riemann Surface |f Carlos Simpson |d 1991 |c Berlin |n Springer-Verlag |p 1 vol. (139 p.) |s Lecture notes in mathematics |z 3-540-55009-7 | |
| 776 | 0 | |t Asymptotic Behavior of Monodromy |b Texte imprimé |z 9783662193624 | |
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| 856 | 4 | |5 180339901:754005216 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0094551 |z Accès INSA CVL | |
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