三阶三点三个正解

吴红萍

doi:10.13371/j.cnki.chin.q.j.m.2019.03.006

数学季刊 >

2019 , Vol. 34 >Issue 3: 283 - 289

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.03.006

三阶三点三个正解

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College of Mathematics and Statistics, Northwest Normal University

收稿日期: 2019-01-09

网络出版日期: 2020-08-23

基金资助

The National Natural Science Foundation of China(11661071)

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Triple Positive Solutions for a Third-order Three-point Boundary Value Problem

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College of Mathematics and Statistics, Northwest Normal University

Received date: 2019-01-09

Online published: 2020-08-23

Supported by

The National Natural Science Foundation of China(11661071)

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吴红萍 . 三阶三点三个正解[J]. 数学季刊, 2019 , 34(3) : 283 -289 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.03.006

Abstract

In this paper,we study the existence of triple positive solutions for the nonlinear third-order three-point boundary value problem where η∈[0,1/2) is a constant,by using a fixed-point theorem due to Avery and Peterson,we establish results of triple positive solutions to the boundary value problem,and an example is given to illustrate the importance of result obtained.

Key words： Third-order three-point boundary value problem; Positive solutions; Fixed-point theorem

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