Solution and Positive Solution to Nonlinear Cantilever Beam Equations

被引：1

作者：

姚庆六 ^{[1
]}

李永祥 ^{[2
]}

机构：

[1] Department of Applied Mathematics,Nanjing University of Finance and Economics

[2] College of Mathematics and Information Science,Northwest Normal University

来源：

Journal of Southwest Jiaotong University(English Edition) | 2008年 / 01期

关键词：

Nonlinear cantilever equation; Boundary value problem; Solution and positive solution; Fixed point theorem;

D O I：

暂无

中图分类号：

TU323.3 [梁、曲梁];

学科分类号：

摘要：

Using the decomposition technique of equation and the fixed point theorem,the existence of solution and positive solution is studied for a nonlinear cantilever beam equation.The equation describes the deformation of the elastic beam with a fixed end and a free end.The main results show that the equation has at least one solution or positive solution,provided that the "height" of nonlinear term is appropriate on a bounded set.

引用

页码：51 / 54

页数：4

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