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

Jian-Ping Sun; Xian-Qiang Wang

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

机译：具有非线性边界条件的弹性梁方程的单调正解

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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.

机译：本文关注具有非线性边界条件的弹性梁方程的单调正解的存在。通过应用单调迭代方法，我们不仅获得了单调正解的存在性，而且建立了近似解的迭代方案。值得一提的是，这些迭代方案从零函数或二次函数开始，对于计算目的而言非常有用且可行。还包括一个示例来说明获得的主要结果。

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来源
《Mathematical Problems in Engineering》 |2011年第3期|p.1-9|共9页
作者
Jian-Ping Sun; Xian-Qiang Wang;
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作者单位

Department of Applied Mathematics, Lanzhou University of Technology, Gansu, Lanzhou 30050, China;

Department of Applied Mathematics, Lanzhou University of Technology, Gansu, Lanzhou 30050, China;

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专利

1. Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions [J] . Shunyong Li, Xiaoqin Zhang Computers & mathematics with applications . 2012,第9期

机译：具有非线性边界条件的弹性梁方程单调正解的存在唯一性
2. Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions [J] . Jian-PingSun, Xian-QiangWang Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第2期

机译：具有非线性边界条件的弹性梁方程的单调正解
3. Positive solutions for elastic beam equations with nonlinear boundary conditions and a parameter [J] . Wenxia Wang, Yanping Zheng, Hui Yang, Boundary value problems . 2014,第1期

机译：具有非线性边界条件和参数的弹性梁方程的正解
4. Multiple positive solution to boundary value problems for a coupled systems of nonlinear semipositone fractional differential equations [C] . Yang Donghui Control and Decision Conference (CCDC), 2012 24th Chinese . 2012

机译：非线性半正分数阶微分方程组边值问题的多重正解
5. Positive solutions of higher order boundary value problems of nonlinear fractional differential equations. [D] . McCabe, Michael. 2014

机译：非线性分数阶微分方程的高阶边值问题的正解。
6. Multiple Positive Solutions to Nonlinear Boundary Value Problems of a System for Fractional Differential Equations [O] . Chengbo Zhai, Mengru Hao -1

机译：分数阶微分方程组非线性边值问题的多个正解
7. Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions [O] . Li Shunyong, Zhang Xiaoqin 2012

机译：具有非线性边界条件的弹性梁方程单调正解的存在唯一性

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

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