The spectral theory of second order two-point differential operators. III: The eigenvalues and their asymptotic formulas

DOI10.1216/RMJM/1181072079zbMath0865.34067OpenAlexW1978527244MaRDI QIDQ1815510

John Locker

Publication date: 12 December 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol26-2/CONT26-2/CONT26-2.html

zbMATH Keywords

eigenvaluesdifferential operatorcharacteristic determinant

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\) ⋮ On summability of spectral expansions corresponding to the Sturm-Liouville operator ⋮ Eigenfunction expansions for the nonspectral differential operators determined by \(-D^ 2\)

Cites Work

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• The nonspectral Birkhoff-regular differential operators determined by \(- D^ 2\)
• Spectral theory for a differential operator: Characteristic determinant and Green's function
• Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
• Spectral representation of the resolvent of a discrete operator
• Spectral decomposition of a Hilbert space by a Fredholm operator
• The spectral theory of second order two-point differential operators. II. Asymptotic expansions and the characteristic determinant
• The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\)
• Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases
• Denseness of the generalized eigenvectors of an H-S discrete operator
• Perturbations of spectral operators, and applications. I. Bounded perturbations
• The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness
• Shorter Notes: A Nonspectral Birkhoff-Regular Differential Operator

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