Recent Developments in Sturm-Liouville Theory / / Anton Zettl.

This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory. For example, some special Sturm-Liouville eigenvalue problems are equivalent to certain Jacobi and cyclic Jacobi matrix eigenvalu...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2021
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2021]
©2021
Year of Publication:2021
Language:English
Series:De Gruyter Studies in Mathematics , 76
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Physical Description:1 online resource (XII, 250 p.)
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Table of Contents:
  • Frontmatter
  • 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