Positive solution for second order multi-point boundary value problem at resonance (Q2863556)
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scientific article; zbMATH DE number 6232013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solution for second order multi-point boundary value problem at resonance |
scientific article; zbMATH DE number 6232013 |
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22 November 2013
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\(m\)-point boundary value problem
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resonance
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positive solution
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cone
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fixed point
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Positive solution for second order multi-point boundary value problem at resonance (English)
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The paper deals with the existence of positive solutions for a second-order multi-point boundary value problem. The authors use the method based on the Leggett-Williams norm-type theorem due to \textit{D. O'Regan} and \textit{M. Zima} [Arch. Math. 87, No. 3, 233--244 (2006; Zbl 1109.47051)]. There is a gap in the proof of Theorem 3.1 as (H2) of Theorem 3.1 does not imply (C2) of Lemma 2.1.
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