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Spectrum of a class of fourth order left-definite differential operators

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Publication:933024
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DOI10.1007/s11766-008-0107-2zbMath1150.34029OpenAlexW2157745493MaRDI QIDQ933024

Jiong Sun, Yunlan Gao

Publication date: 6 August 2008

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-008-0107-2


zbMATH Keywords

Krein spaceleft-definite differential operatorright-definite differential operatorspectrum eigenvalue


Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)


Related Items (2)

Bounds for the spectrum of a matrix differential operator with a damping term ⋮ An estimate for the resolvent of a non-self-adjoint differential operator on the half-line



Cites Work

  • Dependence of Eigenvalues on the Problem
  • Indefinite Sturm–Liouville problems
  • Oscillation theory and numerical solution of fourth-order Sturm—Liouville problems
  • Left-definite Sturm-Liouville problems
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