Spectral analysis of differential operators : interplay between spectral and oscillatory properties / Fedor S. Rofe-Beketov, Aleksandr M. Kholkin ; translated by Ognjen Milatovic ; with foreword by Vladimir A. Marchenko.
Material type: TextSeries: World Scientific monograph series in mathematics ; v. 7.Publication details: Hackensack, NJ : World Scientific, ©2005.Description: 1 online resource (xxiii, 438 pages)Content type:- text
- computer
- online resource
- 9812562761
- 9789812562760
- 9812703454
- 9789812703453
- Spectral theory (Mathematics)
- Differential operators
- Selfadjoint operators
- Hilbert space
- Operator theory
- Spectre (Mathématiques)
- Opérateurs différentiels
- Opérateurs auto-adjoints
- Espace de Hilbert
- Théorie des opérateurs
- MATHEMATICS -- Functional Analysis
- Differential operators
- Hilbert space
- Operator theory
- Selfadjoint operators
- Spectral theory (Mathematics)
- 515/.7222 22
- QC20.7.S64 R64 2005eb
Item type | Home library | Collection | Call number | Materials specified | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Electronic-Books | OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references (pages 359-429) and index.
Print version record.
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.
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.
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