Dissipative Sturm-Liouville operators in limit-point case

DOI10.1007/s10440-004-7026-xzbMath1062.47016OpenAlexW1979012848MaRDI QIDQ1776818

Bilender P. Allahverdiev

Publication date: 12 May 2005

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-004-7026-x

zbMATH Keywords

boundary value problemscharacteristic functionscattering matrixSturm-Liouville equationsfunctional modeldissipative operatorsselfadjoint dilationcompleteness of eigenfunctions

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Scattering theory of linear operators (47A40)

Related Items

Eigenvalue problems for a non-self-adjoint Bessel-type operators in limit-point case ⋮ Non‐self‐adjoint singular second‐order dynamic operators on time scale ⋮ Spectral analysis of eigenparameter dependent boundary value transmission problems ⋮ Symplectic geometry and dissipative differential operators

Cites Work

• Discreteness conditions for the spectrum of ordinary differential operators
• Discrete and continuous boundary problems
• Limit-point and limit-circle criteria for Sturm-Liouville equations with intermittently negative principal coefficients
• On the asymptotic form of the Titchmarsh-Weylm-coefficient†
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