Iterative solutions for a beam equation with nonlinear boundary conditions of third order

被引：73

作者：

Ma, TF ^{[1
]}

da Silva, J ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 159卷 / 01期

关键词：

nonlinear elastic beam; elastic bearings; iterative solutions;

D O I：

10.1016/j.amc.2003.08.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fourth-order differential equation with nonlinear boundary conditions modeling beams on elastic foundations is considered. Iterative solutions are proved through the contraction principle. Some numerical simulations are also provided. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：11 / 18

页数：8

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