Eigenfunction expansions for the nonspectral differential operators determined by \(-D^ 2\)

DOI10.1016/0022-0396(92)90157-IzbMath0773.34060MaRDI QIDQ1188251

John Locker, Patrick M. Lang

Publication date: 13 August 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesspectrumdifferential operatorseigenfunction expansiontwo-point boundary conditions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Cites Work

• Unnamed Item
• The nonspectral Birkhoff-regular differential operators determined by \(- D^ 2\)
• Spectral theory of two-point differential operators determined by \(-D^ 2\). I: Spectral properties
• 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
• The spectral theory of second order two-point differential operators. III: The eigenvalues and their asymptotic formulas
• Green's function for ordinary differential operators
• The spectral theory of second order two-point differential operators: I. A priori estimates for the eigenvalues and completeness
• Strongly irregular boundary value problems

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