POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

Chunfang Shen; Hui Zhou; Xiaoxiang Fan; Liu Yang

doi:10.11948/20180172

2020 Volume 10 Issue 3

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Chunfang Shen, Hui Zhou, Xiaoxiang Fan, Liu Yang. POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 842-852. doi: 10.11948/20180172

Citation:

Chunfang Shen, Hui Zhou, Xiaoxiang Fan, Liu Yang. POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 842-852. doi: 10.11948/20180172

POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

1.
College of Mathematics and Statistics, Hefei Normal University, Lianhua Road, 230061, Hefei, China

Corresponding author: Email address: yliu722@163.com(L. Yang)

Abstract

Abstract

In this paper, positive solutions for a kind of third-order multi-point boundary value problem at resonance are investigated. By using the Leggett-Williams norm-type theorem due to O'Regan and Zima, existence result of at least one positive solution is established. An example is given to demonstrate the main results.
- M-point boundary value problem /
- resonance /
- positive solution /
- Topological degree /
- fixed point
MSC: 34B10, 34B15

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References

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