Existence of nontrivial solutions for a nonlinear fourth-order boundary value problem via iterative method

被引：5

作者：

Zhai, Chengbo ^{[1
]}

Jiang, Chunrong ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

关键词：

Existence of solutions; fourth-order boundary value problem; iterative method; lower and upper solutions; MONOTONE POSITIVE SOLUTIONS; MULTIPLICITY; UNIQUENESS; EQUATION;

D O I：

10.22436/jnsa.009.06.71

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study a nonlinear fourth-order differential equation two-point boundary value problem. We use monotone iterative technique and lower and upper solutions of completely continuous operators to get the existence of nontrivial solutions for the problem. The results can guarantee the existence of nontrivial sign-changing solutions and positive solutions, and we can construct two iterative sequences for approximating them. Finally, two examples are given to illustrate the main results. (C) 2016 All rights reserved.

引用

页码：4295 / 4304

页数：10

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