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

WU Hong-ping

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

WU Hong-ping . Triple Positive Solutions for a Third-order Three-point Boundary Value Problem[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(3) : 283 -289 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.03.006

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