Existence results for a model of nonlinear beam on elastic bearings

被引：54

作者：

Ma, TF ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 05期

关键词：

Kirchhoff equation; elastic beam; fourth-order ODE;

D O I：

10.1016/S0893-9659(00)00026-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of solutions of the nonlinear fourth-order equation of Kirchhoff type u((iv)) - m (integral(0)(1)\ u' (x)\(2) dx) u'' + f (x,u) = 0 under nonlinear boundary conditions which models the deformations of beams on elastic bearings. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：11 / 15

页数：5

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