Spectral theory for a differential operator: Characteristic determinant and Green's function

DOI10.1016/0022-247X(89)90186-8zbMath0707.34014MaRDI QIDQ919505

John Locker, Patrick M. Lang

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Green's functionLaurent seriesalgebraic multiplicity of an eigenvaluetwo-point differential operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (5)

The spectral theory of second order two-point differential operators. IV: The associated projections and the subspace \(S_ \infty(L)\) ⋮ The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties ⋮ Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases ⋮ The spectral theory of second order two-point differential operators. III: The eigenvalues and their asymptotic formulas

Cites Work

• Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
• Spectral representation of the resolvent of a discrete operator
• Denseness of the generalized eigenvectors of an H-S discrete operator
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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