Necessary and sufficient condition for the positivity of the Green function of a boundary value problem for a fourth-order equation on a graph

DOI10.1134/S0012266115030039zbMath1331.34041OpenAlexW2022177870WikidataQ115251511 ScholiaQ115251511MaRDI QIDQ2352644

R. Ch. Kulaev

Publication date: 3 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0012266115030039

zbMATH Keywords

positivitygraphsGreen functionfourth order equation

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (6)

On the disconjugacy property of an equation on a graph ⋮ Sturm separation theorems for a fourth-order equation on a graph ⋮ Unnamed Item ⋮ Comparison theorems for Green function of a fourth order boundary value problem on a graph ⋮ On the multiplicity of eigenvalues of a fourth-order differential operator on a graph ⋮ The qualitative theory of fourth-order differential equations on a graph

Cites Work

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• Fourth-order differential equations on geometric graphs
• On the solvability of a boundary value problem for a fourth-order equation on a graph
• Reduction method for a fourth-order equation on a graph
• Criterion for the positiveness of the Green function of a many-point boundary value problem for a fourth-order equation
• Control of networks of Euler-Bernoulli beams
• Effective criteria for the strong sign-regularity and the oscillation property of the Green's functions of two-point boundary-value problems
• Control of Planar Networks of Timoshenko Beams

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