Oscillation criteria and the discreteness of the spectrum of self-adjoint, even order, differential operators

DOI10.1017/S0308210500014797zbMath0744.34036OpenAlexW2323157911MaRDI QIDQ3984118

Ondřej Došlý

Publication date: 27 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500014797

zbMATH Keywords

spectral propertiesoscillation criteriaself-adjoint differential equations

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

Oscillation and Nonoscillation of Higher Order Self-Adjoint Differential Equations ⋮ Disconjugacy and transformations for symplectic systems ⋮ Unnamed Item ⋮ Oscillation and Spectral Properties of a Class of Singular Self-Adjoint Differential Operators ⋮ Even-order half-linear advanced differential equations: improved criteria in oscillatory and asymptotic properties ⋮ Oscillation and spectral properties of self-adjoint differential operators ⋮ Conjugacy of self-adjoint difference equations of even order ⋮ Unnamed Item ⋮ Principal and antiprincipal solutions at infinity of linear Hamiltonian systems ⋮ A class of Sturm-Liouville difference equations: (Non)oscillation constants and property BD ⋮ Oscillation criteria of a class of fourth order differential equations ⋮ Oscillation criteria for higher order sturm–liouville difference equations^* ⋮ Discrete spectra criteria for certain classes of singular differential and difference operators

Cites Work

• Unnamed Item
• Lower bounds for the spectrum of ordinary differential operators
• The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory
• Equivalent boundary value problems for self-adjoint differential systems
• Oscillation Criteria for a Special Class of 2n‐Order Ordinary Differential Equations
• Necessary and Sufficient Conditions for the Discreteness of the Spectrum of Certain Singular Differential Operators
• Discrete spectra criteria for singular differential operators with middle terms
• About Certain Fourth‐Order Ordinary Differential Operators — Oscillation and Discreteness of their Spectrum

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