On the Existence of a Solution of a Boundary Value Problem on a Graph for a Nonlinear Equation of the Fourth Order

被引：1

作者：

Kulaev, R. Ch. ^{[1
]}

Urtaeva, A. A. ^{[2
]}

机构：

[1] Russian Acad Sci, Vladikavkaz Sci Ctr, Southern Math Inst, Vladikavkaz 362025, Russia

[2] Khetagurov North Ossetian State Univ, Vladikavkaz 362025, Russia

来源：

DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 09期

关键词：

GREEN-FUNCTION; POSITIVE SOLUTIONS; DISCONJUGACY;

D O I：

10.1134/S0012266123090033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A fourth-order nonlinear differential equation on a network that is a model of a system of Euler-Bernoulli rods is considered. Based on the monotone iteration method, the existence of a solution of a boundary value problem on a graph for this equation is established using the positiveness of the Green's function and the maximum principle for the corresponding linear differential equation. An example is given to illustrate the results.

引用

页码：1175 / 1184

页数：10

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