Disconjugacy characterization by means of spectral \((k, n - k)\) problems

DOI10.1016/j.aml.2015.08.007zbMath1331.34046arXiv1506.03043OpenAlexW2963708024MaRDI QIDQ900993

Lorena Saavedra, Alberto Cabada

Publication date: 23 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03043

zbMATH Keywords

Green's functionsspectral theorydisconjugation\((k, n - k)\) problemsnon oscillation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Green's functions for ordinary differential equations (34B27) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Characterization of non-disconjugacy for a one parameter family of \(n \mathrm{th}\)-order linear differential equations ⋮ Disconjugacy conditions and spectrum structure of clamped beam equations with two parameters ⋮ Positive solutions for third-order boundary value problems with indefinite weight ⋮ The qualitative theory of fourth-order differential equations on a graph ⋮ The eigenvalue characterization for the constant sign Green's functions of \((k,n-k)\) problems

Uses Software

• Green

Cites Work

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• Eigenvalues of the \(p\)-Laplacian and disconjugacy criteria
• Disconjugacy
• A disconjugacy criterion for selfadjoint linear differential equations. tions
• Oscillation Criteria for Second-Order Linear Differential Equations
• Disconjugacy of Second-Order Linear Differential Equations with Non-Negative Coefficients
• Disconjugate Linear Differential Operators
• Some disconjugacy criteria for differential equations with oscillatory coefficients
• Green’s Functions in the Theory of Ordinary Differential Equations

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