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Multiparameter eigenvalue problems : Sturm-Liouville theory /

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With special attention to the Sturm-Liouville theory, this book discusses the full multiparameter theory as applied to second-order linear equations. It considers the spectral theory of these multiparameter problems in detail for both the regular and singular cases. The text covers eignencurves, the...

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Bibliographic Details
Main Author: Atkinson, F. V. (Author)
Corporate Author: Taylor & Francis
Other Authors: Mingarelli, Angelo B. (Angelo Bernardo), 1952-
Format: eBook
Language:English
Published: Baca Raton, Fla. : CRC Press, 2011.
Subjects:
Eigenvalues.
Sturm-Liouville equation.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Preliminaries and early history
  • 2. Some typical multiparameter problems
  • 3. Definiteness conditions and the spectrum
  • 4. Determinants of functions
  • 5. Oscillation theorems
  • 6. Eigencurves
  • 7. Oscillations for other multiparameter systems
  • 8. Distribution of eigenvalues
  • 9. The essential spectrum
  • 10. The completeness of eigenfunctions
  • 11. Limit-circle, limit-point theory
  • 12. Spectral functions.