Comparison theorems for Green function of a fourth order boundary value problem on a graph

DOI10.13108/2015-7-4-94zbMath1463.34128OpenAlexW4239748964MaRDI QIDQ5137110

R. Ch. Kulaev

Publication date: 1 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa305

zbMATH Keywords

graphGreen functionnon-oscillationdifferential equation on graph

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Green's functions for ordinary differential equations (34B27) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Cites Work

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• A class of fourth-order differential equations on a spatial net
• Oscillation property of the spectrum of multipoint boundary value problems
• Fourth-order differential equations on geometric graphs
• On the solvability of a boundary value problem 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
• Necessary and sufficient condition for the positivity of the Green function of a boundary value problem for a fourth-order equation on a graph
• Oscillation of the Green function of a multipoint boundary value problem for a fourth-order equation
• NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx⁽ⁿ⁾+p₁(t)x⁽ⁿ⁻¹⁾+ … +p_n(t)x= 0
• On the Non-Existence of Conjugate Points

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