Spectral properties of linear ordinary differential operators with slowly decreasing coefficients

DOI10.1016/0022-247X(79)90100-8zbMath0416.34033OpenAlexW2083461925MaRDI QIDQ754369

Matania Ben-Artzi

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90100-8

zbMATH Keywords

eigenvaluesresolvent kernelabsolutely continuous spectrumlinear ordinary differential operators with slowly decreasing coefficientsself-adjoint ordinary differential operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Green's functions for ordinary differential equations (34B27) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Ordinary differential operators (34L99)

Related Items

Eigenfunction expansions for a class of differential operators

Cites Work

• On the asymptotic integration of linear differential systems
• Zur Spektraltheorie von Sturm-Liouville-Operatoren
• Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials
• Limiting absorption method and absolute continuity for the Schrödinger operator
• The asymptotic nature of solutions of linear systems of differential equations
• An Asymptotic Theorem for Systems of Linear Differential Equations
• The Eigenvalue Problem for Ordinary Differential Equations of the Second Order and Heisenberg's Theory of S-Matrices
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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