Oscillation and Spectral Properties of a Class of Singular Self-Adjoint Differential Operators

DOI10.1002/mana.19971880105zbMath0889.34029OpenAlexW2156858233MaRDI QIDQ4366849

Ondřej Došlý

Publication date: 29 June 1998

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19971880105

zbMATH Keywords

conjugate pointsoscillationsspectral analyses

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (10)

Oscillation and Nonoscillation of Higher Order Self-Adjoint Differential Equations ⋮ Oscillation of symplectic dynamic systems ⋮ Disconjugacy and transformations for symplectic systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Kamenev-type oscillation criteria for the second-order nonlinear dynamic equations with damping on time scales ⋮ Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems ⋮ A class of Sturm-Liouville difference equations: (Non)oscillation constants and property BD ⋮ Discrete spectra criteria for certain classes of singular differential and difference operators ⋮ A time scales version of a Wirtinger-type inequality and applications

Cites Work

• Unnamed Item
• Singular differential operators with spectra discrete and bounded below
• Necessary and Sufficient Conditions for the Discreteness of the Spectrum of Certain Singular Differential Operators
• Oscillation criteria and the discreteness of the spectrum of self-adjoint, even order, differential operators

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