Oscillation of the Green function of a multipoint boundary value problem for a fourth-order equation

DOI10.1134/S0012266115040035zbMath1320.34043OpenAlexW2080485066WikidataQ115251506 ScholiaQ115251506MaRDI QIDQ2515250

R. Ch. Kulaev

Publication date: 31 July 2015

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266115040035

zbMATH Keywords

discontinuous boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Green's functions for ordinary differential equations (34B27)

Related Items (7)

On the spectrum of a multipoint boundary value problem for a fourth-order equation ⋮ Sturm separation theorems for a fourth-order equation on a graph ⋮ Spectral properties of a fourth‐order differential operator on a network ⋮ On the existence of a solution of a boundary value problem on a graph for a nonlinear equation of the fourth order ⋮ Comparison theorems for Green function of a fourth order boundary value problem on a graph ⋮ On the oscillation property of Green's function of a fourth-order discontinuous boundary-value problem ⋮ On the problem of oscillation properties of positive differential operators with singular coefficients

Cites Work

• Sign regularity conditions for discontinuous boundary-value problems
• Criterion for the positiveness of the Green function of a many-point boundary value problem for a fourth-order equation
• Zeros of the Green's function for the de la Vallée-Poussin problem
• Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
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