Spectral analysis of differential operators [[electronic resource] ] : interplay between spectral and oscillatory properties / / Fedor S. Rofe-Beketov, Aleksandr M. Kholkin ; translated by Ognjen Milatovic ; with foreword by Vladimir A. Marchenko

• Autore: Rofe-Beketov Fedor S
• Pubblicazione: Hackensack, NJ, : World Scientific, c2005
• Descrizione fisica: 1 online resource (463 p.)
• Disciplina: 515/.7222
• Soggetto topico: Spectral theory (Mathematics); Differential operators; Selfadjoint operators; Hilbert space; Operator theory
• Soggetto genere / forma: Electronic books.
• Altri autori: KholʹkinAleksandr M MilatovicOgnjen
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 359-429) and index.
• Nota di contenuto: Foreword; Contents; Preface; Acknowledgments; Introduction; 1. Relation Between Spectral and Oscillatory Properties for the Matrix Sturm-Liouville Problem; 2. Fundamental System of Solutions for an Operator Differential Equation with a Singular Boundary Condition; 3. Dependence of the Spectrum of Operator Boundary Problems on Variations of a Finite or Semi-Infinite Interval; 4. Relation Between Spectral and Oscillatory Properties for Operator Differential Equations of Arbitrary Order ; 5. Self-Adjoint Extensions of Systems of Differential Equations of Arbitrary Order on an Infinite Interval in the Absolutely Indefinite Case6. Discrete Levels in Spectral Gaps of Perturbed Schrodinger and Hill Operators; Appendix A Self-Adjoint Extensions of Differential Opera- tors on a Finite Interval in Spaces of Vector-Functions; Bibliography; List of Symbols; Index
• Sommario/riassunto: This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other
• Titolo autorizzato: Spectral analysis of differential operators
• ISBN: 1-281-90582-8; 9786611905828; 981-270-345-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910450708903321
• Lo trovi qui: Univ. Federico II
• Serie: World Scientific monograph series in mathematics ; ; v. 7.