Positive solutions for a semipositone nonlocal discrete boundary value problem

We investigate the existence of positive solutions for a system of nonlinear second-order difference equations with a parameter and a sign-changing nonlinearity, subject to multi-point boundary conditions. In the proof of our main results we apply the nonlinear alternative of Leray–Schauder type and...

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Bibliographic Details
Published inApplied mathematics letters Vol. 92; pp. 54 - 61
Main Author Luca, Rodica
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2019
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ISSN0893-9659
1873-5452
DOI10.1016/j.aml.2019.01.007

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Summary:We investigate the existence of positive solutions for a system of nonlinear second-order difference equations with a parameter and a sign-changing nonlinearity, subject to multi-point boundary conditions. In the proof of our main results we apply the nonlinear alternative of Leray–Schauder type and the Guo–Krasnosel’skii fixed point theorem.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.01.007