Existence of positive solutions for a semipositone discrete boundary value problem
Articles
Rodica Luca
Gh. Asachi Technical University
https://orcid.org/0000-0003-3901-5747
Published 2019-06-27
https://doi.org/10.15388/NA.2019.4.10
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Keywords

difference equations
multi-point boundary conditions
positive solutions
signchanging nonlinearity

How to Cite

Luca, R. (2019) “Existence of positive solutions for a semipositone discrete boundary value problem”, Nonlinear Analysis: Modelling and Control, 24(4), pp. 658–678. doi:10.15388/NA.2019.4.10.

Abstract

We investigate the existence of positive solutions for a nonlinear second-order difference equation with a linear term and a sign-changing nonlinearity, supplemented with multi-point boundary conditions. In the proof of our main results, we use the Guo–Krasnosel'skii fixed point theorem.

 

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