| Description |
1 online resource (xxiii, 438 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
World Scientific monograph series in mathematics ; v. 7
|
|
World Scientific monograph series in mathematics ; v. 7.
|
| Bibliography |
Includes bibliographical references (pages 359-429) and index. |
| Contents |
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. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Spectral theory (Mathematics)
|
|
Spectral theory (Mathematics) |
|
Differential operators.
|
|
Differential operators. |
|
Selfadjoint operators.
|
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Selfadjoint operators. |
|
Hilbert space.
|
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Hilbert space. |
|
Operator theory.
|
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Operator theory. |
| Genre/Form |
Electronic books.
|
| Added Author |
Kholʹkin, Aleksandr M.
|
|
Milatovic, Ognjen.
|
| Other Form: |
Print version: Rofe-Beketov, Fedor S. Spectral analysis of differential operators. Hackensack, NJ : World Scientific, ©2005 (DLC) 2006296487 |
| ISBN |
9812562761 |
|
9789812562760 |
|
9812703454 (electronic book) |
|
9789812703453 (electronic book) |
|
9812562761 |
| Standard No. |
9789812562760 |
|
