Necessary and sufficient condition for the existence of positive solutions of a coupled system for elastic beam equations

被引：13

作者：

Sun, Yan ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 357卷 / 01期

关键词：

Decreasing operator; Positive solution; Existence; Cone; SEMILINEAR ELLIPTIC SYSTEM; NONEXISTENCE;

D O I：

10.1016/j.jmaa.2009.04.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, by using fixed point theorem and monotone iterative technique, the author establishes a necessary and sufficient condition of the existence of positive solutions for a class of nonlinear singular elastic beam differential system under reasonable conditions. Moreover, some uniqueness results of positive solution and the estimate of convergent rate of the iterative sequence of solution are obtained. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：77 / 88

页数：12

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