Spectral analysis of differential operators : interplay between spectral and oscillatory properties /

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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 investigat...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Rofe-Beketov, Fedor S.
Other Authors: Kholʹkin, Aleksandr M., Milatovic, Ognjen
Format: Electronic eBook
Language:Inglés
Published: Hackensack, NJ : World Scientific, ©2005.
Series:World Scientific monograph series in mathematics ; v. 7.
Subjects:
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
Online Access:Texto completo
Table of 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.

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