The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems

Zhongxin Zhang; Junyu Wang

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The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems

机译：一类奇异非线性二阶三点边值问题的上下解方法

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摘要

In this paper we develop the upper and lower solution method and the monotone iterative technique for a class of singular nonlinear second order three-point boundary value problems. A maximum principle is established and some new existence results are obtained.

机译：本文针对一类奇异的非线性二阶三点边值问题开发了上下求解方法和单调迭代技术。建立了最大原理，并获得了一些新的存在结果。

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来源
《Journal of Computational and Applied Mathematics》 |2002年第1期|共12页
作者
Zhongxin Zhang; Junyu Wang;
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正文语种 eng
中图分类应用数学;
关键词
singular nonlinear second order three-point boundary value problem; method of upper and lower solutions; monotone iterative technique; maximum principle;

机译：奇异非线性二阶三点边值问题;上下解方法;单调迭代技术;最大原理;

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1. The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems [J] . Zhongxin Zhang, Junyu Wang Journal of Computational and Applied Mathematics . 2002,第1期

机译：一类奇异非线性二阶三点边值问题的上下解方法
2. Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions [J] . El-Gebeily M, ORegan D Nonlinear analysis. Real world applications . 2007,第2期

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3. The upper and lower solution method for nonlinear third-order three-point boundary value problem [J] . Sun Jian-Ping, Ren Qiu-Yan, Zhao Ya-Hong Electronic Journal of Qualitative Theory of Differential Equations . 2010,第2期

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4. Positive Solutions for Singular Systems of Three-Point Boundary Value Problems [C] . Caihua Wang Advances in computer science and engineering . 2012

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5. Conformal Mapping Improvement of the Boundary Element Method Solution for Underground Water Flow in a Domain With a Very Singular Boundary [D] . Romero, Megan 2018

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6. An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method [O] . Lie-jun Xie, Cai-lian Zhou, Song Xu -1

机译：用改进的微分变换方法解决一类非线性奇异边值问题的有效数值方法
7. The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems [O] . Zhang Zhongxin, Wang Junyu 2002

机译：一类奇异非线性二阶三点边值问题的上下解方法

The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems

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