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Spectral exactness and spectral inclusion for singular left-definite Sturm-Liouville problems

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Publication:1888677
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DOI10.1007/BF03323384zbMath1063.34022MaRDI QIDQ1888677

Anton Zettl, Marco Marlettta

Publication date: 26 November 2004

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

left-definite problemsspectral approximationssingular Sturm-Liouville equations


Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)




Cites Work

  • A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
  • Asymptotics of eigencurves for second order ordinary differential equations. I
  • Computing eigenvalues of singular Sturm-Liouville problems
  • Singular left-definite Sturm--Liouville problems
  • Approximation of isolated eigenvalues of general singular ordinary differential operators
  • Regular approximations of singular Sturm-Liouville problems
  • Eigenvalue Problems on Infinite Intervals
  • Sturm-Liouville operators with an indefinite weight function
  • Indefinite Sturm–Liouville problems
  • Eigencurves for Two-Parameter Sturm-Liouville Equations
  • Left-definite Sturm-Liouville problems
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