数学季刊 ›› 2021, Vol. 36 ›› Issue (4): 369-375.doi: 10.13371/j.cnki.chin.q.j.m.2021.04.003

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一个三阶 m 点边值问题的三个正解

  

  1. School of Mathematics and Physics, Lanzhou Jiaotong University
  • 收稿日期:2021-04-22 出版日期:2021-12-30 发布日期:2021-12-30
  • 通讯作者: YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, MS.D supervisor, Ph.D, engages in nonlinear functional analysis;
  • 作者简介: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.
  • 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).

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

  1. School of Mathematics and Physics, Lanzhou Jiaotong University
  • Received:2021-04-22 Online:2021-12-30 Published:2021-12-30
  • Contact: YANG Yun-rui (1979-), female, native of Tianshui, Gansu, professor of Lanzhou Jiaotong University, MS.D supervisor, Ph.D, engages in nonlinear functional analysis;
  • About author: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.
  • 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

Abstract: 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.

Key words: Positive solutions, Existence, Fixed point

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