Oscillation and spectral properties of self-adjoint differential operators

DOI10.1016/S0362-546X(97)00197-1zbMath0892.34028OpenAlexW2136154467WikidataQ127872408 ScholiaQ127872408MaRDI QIDQ4377202

Ondřej Došlý

Publication date: 27 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00197-1

zbMATH Keywords

oscillationconjugate pointsvariational methodnonoscillationsingular differential operatorsselfadjoint differential operators

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (3)

Oscillation and Nonoscillation of Higher Order Self-Adjoint Differential Equations ⋮ A class of Sturm-Liouville difference equations: (Non)oscillation constants and property BD ⋮ A time scales version of a Wirtinger-type inequality and applications

Cites Work

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• Oscillation criteria for a class of 2n-order ordinary differential operators
• Equivalent boundary value problems for self-adjoint differential systems
• Disconjugacy
• Oscillation Criteria for a Special Class of 2n‐Order Ordinary Differential Equations
• Oscillation criteria and the discreteness of the spectrum of self-adjoint, even order, differential operators
• Discrete spectra criteria for singular differential operators with middle terms
• Oscillation Criteria for Self-Adjoint Linear Differential Equations
• The virial theorem and its application to the spectral theory of Schrödinger operators
• The Discreteness of the Spectrum of Self-Adjoint, Even Order, One-Term, Differential Operators

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