Fully nonlinear fourth-order equations with functional boundary conditions

被引：28

作者：

Cabada, A. ^{[1
]}

Minhos, F. M. ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Galicia, Spain

[2] CIMA UE, Dept Matemat, P-700671 Evora, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 340卷 / 01期

关键词：

fourth-order functional problems; Nagumo-type condition; lower and upper solutions; fixed-point theory; beam equation; human spine continuous model;

D O I：

10.1016/j.jmaa.2007.08.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper consists in to give sufficient conditions to ensure the existence and location of the solutions of a nonlinear fully fourth-order equation with functional boundary conditions. The arguments make use of the upper and lower solutions method, a phi-Laplacian operator and a fixed point theorem. An application of the beam theory to a nonlinear continuous model of the human spine allows to estimate its deformation under some loading forces. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：239 / 251

页数：13

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