Theory of a Higher-Order Sturm-Liouville Equation
This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order St...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1659 |
| 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: | • Theory of a higher-order Sturm-Liouville equation, Vladimir Kozlov, Vladimir Maz'ya, 1997, Berlin, Springer, 1 volume (XI-140 pages), Lecture notes in mathematics, 3-540-63065-1 • Theory of a Higher-Order Sturm-Liouville Equation, Texte imprimé, 9783662191798 |
Table des matières:
- Basic equation with constant coefficients
- The operator M(? t ) on a semiaxis and an interval
- The operator M(? t )??0 with constant ?0
- Green's function for the operator M(? t )??(t)
- Uniqueness and solvability properties of the operator M(? t ??(t)
- Properties of M(? t ??(t) under various assumptions about ?(t)
- Asymptotics of solutions at infinity
- Application to ordinary differential equations with operator coefficients.