The eigenvalue characterization for the constant sign Green's functions of \((k,n-k)\) problems

DOI10.1186/s13661-016-0547-1zbMath1343.34194arXiv1504.02229OpenAlexW1718897155WikidataQ59438989 ScholiaQ59438989MaRDI QIDQ257315

Alberto Cabada, Lorena Saavedra

Publication date: 16 March 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02229

zbMATH Keywords

maximum principlesGreen's functionsspectral theory\(n\)th-order order boundary value problemdisconjugation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Green's functions for ordinary differential equations (34B27) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (9)

Existence of solutions for \(n^{\text{th}}\)-order nonlinear differential boundary value problems by means of fixed point theorems ⋮ Existence of solutions of \(n\)th-order nonlinear difference equations with general boundary conditions ⋮ Characterization of non-disconjugacy for a one parameter family of \(n \mathrm{th}\)-order linear differential equations ⋮ Disconjugacy and Green's functions sign for some two-point boundary value problems for fourth order ordinary differential equations ⋮ Positive solutions for fourth-order equations with a sign-changing weight and clamped beam boundary conditions ⋮ Disconjugacy conditions and spectrum structure of clamped beam equations with two parameters ⋮ Disconjugacy characterization by means of spectral \((k, n - k)\) problems ⋮ Multiplicity results for fourth order problems related to the theory of deformations beams ⋮ New results on the sign of the Green function of a two-point \(n\)-th order linear boundary value problem

Uses Software

• Green

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