On the disconjugacy property of an equation on a graph

DOI10.1134/S0037446616010079zbMath1353.34034OpenAlexW2315013088MaRDI QIDQ299158

R. Ch. Kulaev

Publication date: 22 June 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616010079

zbMATH Keywords

maximum principleGreen's functiondifferential inequalitydisconjugacydifferential equation on a graph

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Differential inequalities involving functions of a single real variable (34A40) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (5)

Unnamed Item ⋮ 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 ⋮ 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

• Maximum principles for fourth order ordinary differential inequalities
• 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
• On the nonoscillation of an equation on a graph
• Necessary and sufficient condition for the positivity of the Green function of a boundary value problem for a fourth-order equation on a graph
• NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx⁽ⁿ⁾+p₁(t)x⁽ⁿ⁻¹⁾+ … +p_n(t)x= 0
• Nonoscillation of ordinary differential equations and inequalities on spatial networks
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