Criterion for the positiveness of the Green function of a many-point boundary value problem for a fourth-order equation

DOI10.1134/S0012266115020020zbMath1325.34037WikidataQ115251530 ScholiaQ115251530MaRDI QIDQ2352623

R. Ch. Kulaev

Publication date: 3 July 2015

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

zbMATH Keywords

Green's functionsmultipoint boundary value problemsfourth order equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

On the spectrum of a multipoint boundary value problem for a fourth-order equation ⋮ Unnamed Item ⋮ 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 ⋮ Oscillation of the Green function of a multipoint 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

Cites Work

• Sign regularity conditions for discontinuous boundary-value problems
• Zeros of the Green's function for the de la Vallée-Poussin problem
• Effective criteria for the strong sign-regularity and the oscillation property of the Green's functions of two-point boundary-value problems
• Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
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