一个三阶 m 点边值问题的三个正解

宋雪, 杨赟瑞, 杨璐

doi:10.13371/j.cnki.chin.q.j.m.2021.04.003

数学季刊 >

2021 , Vol. 36 >Issue 4: 369 - 375

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.04.003

一个三阶 m 点边值问题的三个正解

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School of Mathematics and Physics, Lanzhou Jiaotong University

SONG Xue (1997-), female, native of Anshan, Liaoning, postgraduate of Lanzhou Jiaotong University, engages in nonlinear functional analysis; YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, MS.D supervisor, Ph.D, engages in nonlinear functional analysis; YANG Lu (1997-), female, native of Baoji, Shanxi, postgraduate of Lanzhou Jiaotong University, engages in nonlinear functional analysis.

收稿日期: 2021-04-22

网络出版日期: 2021-12-30

基金资助

Supported by the National Natural Science Foundation of China (Grant No. 11761046);
Natural Science Foundation of Gansu Province (Grant No. 20JR5RA411).

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Triple Positive Solutions to a Third-Order m-Point Boundary Value Problem

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School of Mathematics and Physics, Lanzhou Jiaotong University

Received date: 2021-04-22

Online published: 2021-12-30

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 11761046);
Natural Science Foundation of Gansu Province (Grant No. 20JR5RA411).

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摘要

An existence criterion of triple positive solutions to a third-order m-point boundary value problem is established by Avery-Peterson fixed point theorem. At the same time, a corresponding example is given to illustrate the result.

关键词： Positive solutions; Existence; Fixed point

本文引用格式

宋雪, 杨赟瑞, 杨璐 . 一个三阶 m 点边值问题的三个正解[J]. 数学季刊, 2021 , 36(4) : 369 -375 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.003

Abstract

Key words： Positive solutions; Existence; Fixed point

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