Recent Developments in Sturm-Liouville Theory / / Anton Zettl.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2021
• VerfasserIn: Zettl, Anton,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Series: De Gruyter Studies in Mathematics , 76
• Physical Description: 1 online resource (XII, 250 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110719000; 9783110750720; 9783110750706; 9783110754001; 9783110753776; 9783110754131; 9783110753905
• ISSN: 0179-0986
• DOI: 10.1515/9783110719000
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Anton Zettl.

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.