Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions

Shunyong Li; Xiaoqin Zhang

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Existence and uniqueness of 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单调正解的存在唯一性

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摘要

This paper is concerned with the existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions. The proof of our main results is based upon a new fixed point theorem of generalized concave operators.

机译：本文关注具有非线性边界条件的弹性梁方程单调正解的存在性和唯一性。我们主要结果的证明是基于广义凹算子的新不动点定理。

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《Computers & mathematics with applications》 |2012年第9期|p.1355-1360|共6页
作者
Shunyong Li; Xiaoqin Zhang;
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作者单位

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, PR China,School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, PR China;

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, PR China;

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正文语种 eng
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关键词
existence and uniqueness; monotone positive solution; fixed point theorem of generalized concave operators; elastic beam equation;

机译：存在和独特性;单调正解;广义凹算子的不动点定理;弹性梁方程;

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2. Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions [J] . Jian-Ping Sun, Xian-Qiang Wang Mathematical Problems in Engineering . 2011,第PTa3期

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3. 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

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5. Existence and multiplicity of positive solutions of nonlinear integral and differential equations. [D] . Wang, Haiyan. 1997

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6. Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

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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

Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions

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