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

SONG Xue, YANG Yun-rui, YANG Lu

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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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.

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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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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SONG Xue, YANG Yun-rui, YANG Lu . Triple Positive Solutions to a Third-Order m-Point Boundary Value Problem[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(4) : 369 -375 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.04.003

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