1.

Record Nr.

UNINA9910554225603321

Autore

Zettl Anton

Titolo

Recent developments in Sturm-Liouville theory / / Anton Zettl

Pubbl/distr/stampa

Berlin ; ; Boston : , : Walter de Gruyter GmbH, , [2021]

©2021

ISBN

9783110719000

3110719002

9783110719383

9783110718843

Descrizione fisica

1 online resource (262 pages)

Collana

De Gruyter studies in mathematics ; ; volume 76

Disciplina

515.35

Soggetti

Sturm-Liouville equation

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Frontmatter -- Introduction -- Contents -- Part I: One-interval problems -- 1 Classical regular self-adjoint problems -- 2 Periodic coefficients -- 3 Extensions of the classical problem -- 4 Finite spectrum -- 5 Inverse Sturm-Liouville problems with finite spectrum -- 6 Eigenvalues below the essential spectrum -- 7 Spectral parameter in the boundary conditions -- Part II: Two-interval problems -- 8 Discontinuous boundary conditions -- 9 The Green's and characteristic functions -- 10 The Legendre equation and its operators -- A Notation -- B Open problems -- Bibliography -- Index

Sommario/riassunto

This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory. For example, some special Sturm-Liouville eigenvalue problems are equivalent to certain Jacobi and cyclic Jacobi matrix eigenvalue problems. A new approach to problems with periodic conditions is developed.