Dissipative operators generated by the Sturm-Liouville differential expression in the Weyl limit circle case

DOI10.1006/JMAA.2000.7233zbMath0979.34059OpenAlexW2013562699MaRDI QIDQ5927722

Allan M. Krall, Elgiz Bairamov

Publication date: 15 May 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7233

zbMATH Keywords

completenessnonselfadjoint differential operators

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (15)

The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator ⋮ A class of dissipative differential operators of order three ⋮ Regular fractional dissipative boundary value problems ⋮ Dissipative operators with impulsive conditions ⋮ Krein's theorems for a dissipative boundary value transmission problem ⋮ The bounds of eigenvalue for complex singular boundary value problems ⋮ Direct approach for the characteristic function of a dissipative operator with distributional potentials ⋮ Dissipative non-self-adjoint Sturm-Liouville operators and completeness of their eigenfunctions ⋮ On singular dissipative fourth-order differential operator in lim-4 case ⋮ On the perturbation determinants of a singular dissipative boundary value problem with finite transmission conditions ⋮ The determinants of fourth order dissipative operators with transmission conditions ⋮ The determinants of dissipative Sturm-Liouville operators with transmission conditions ⋮ Investigation of the spectral properties of a fourth order differential operator with finite transmission conditions ⋮ A classification of fourth-order dissipative differential operators ⋮ Spectral singularities of the nonhomogeneous Sturm-Liouville equations

Cites Work

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• Singular self-adjoint Sturm-Liouville problems
• Parametrizations of Titchmarsh's m(λ)-Functions in the Limit Circl Case
• Singular Self-Adjoint Sturm–Liouville Problems: II. Interior Singular Points
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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