Details

Title: De Gruyter studies in mathematics ;. Recent Developments in Sturm-Liouville Theory. — 76.
Creators: Zettl Anton
Collection: Электронные книги зарубежных издательств; Общая коллекция
Subjects: Sturm-Liouville equation.; EBSCO eBooks
Document type: Other
File type: PDF
Language: English
Rights: Доступ по паролю из сети Интернет (чтение, печать, копирование)
Record key: on1239987647

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Annotation

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer.

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Table of Contents

  • 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

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