| Volume 10, Number 3, 2020, Pages 842-852 DOI：10.11948/20180172 |
| Positive solution for nonlinear third-order multi-point boundary value problem at resonance |
| Chunfang Shen,Hui Zhou,Xiaoxiang Fan,Liu Yang |
| Keywords:M-point boundary value problem, resonance, positive solution, Topological degree, fixed point. |
| 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. |
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