Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions

被引：11
|
作者：
Sun, Jian-Ping [1 ]
Wang, Xian-Qiang [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2011年 / 2011卷
基金：
中国国家自然科学基金;
关键词：
EIGENVALUE PROBLEMS; EXISTENCE;
D O I：
10.1155/2011/609189
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is concerned with the existence of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions. By applying monotone iteration method, we not only obtain the existence of monotone positive solutions but also establish iterative schemes for approximating the solutions. It is worth mentioning that these iterative schemes start off with zero function or quadratic function, which is very useful and feasible for computational purpose. An example is also included to illustrate the main results obtained.
引用
收藏
页数：9
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