The Solvability of the Discrete Boundary Value Problem on the Half-Line

This paper provides conditions for the existence of a solution to the second-order nonlinear boundary value problem on the half-line of the form [Formula: see text] with [Formula: see text] where [Formula: see text] , [Formula: see text]. To achieve our goal, we use Schauder’s fixed-point theorem an...

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Autor principal: Nockowska-Rosiak, Magdalena
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8622468/
https://www.ncbi.nlm.nih.gov/pubmed/34828224
http://dx.doi.org/10.3390/e23111526
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author Nockowska-Rosiak, Magdalena
author_facet Nockowska-Rosiak, Magdalena
author_sort Nockowska-Rosiak, Magdalena
collection PubMed
description This paper provides conditions for the existence of a solution to the second-order nonlinear boundary value problem on the half-line of the form [Formula: see text] with [Formula: see text] where [Formula: see text] , [Formula: see text]. To achieve our goal, we use Schauder’s fixed-point theorem and the perturbation technique for a Fredholm operator of index 0. Moreover, we construct the necessary condition for the existence of a solution to the considered problem.
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spelling pubmed-86224682021-11-27 The Solvability of the Discrete Boundary Value Problem on the Half-Line Nockowska-Rosiak, Magdalena Entropy (Basel) Article This paper provides conditions for the existence of a solution to the second-order nonlinear boundary value problem on the half-line of the form [Formula: see text] with [Formula: see text] where [Formula: see text] , [Formula: see text]. To achieve our goal, we use Schauder’s fixed-point theorem and the perturbation technique for a Fredholm operator of index 0. Moreover, we construct the necessary condition for the existence of a solution to the considered problem. MDPI 2021-11-17 /pmc/articles/PMC8622468/ /pubmed/34828224 http://dx.doi.org/10.3390/e23111526 Text en © 2021 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Nockowska-Rosiak, Magdalena
The Solvability of the Discrete Boundary Value Problem on the Half-Line
title The Solvability of the Discrete Boundary Value Problem on the Half-Line
title_full The Solvability of the Discrete Boundary Value Problem on the Half-Line
title_fullStr The Solvability of the Discrete Boundary Value Problem on the Half-Line
title_full_unstemmed The Solvability of the Discrete Boundary Value Problem on the Half-Line
title_short The Solvability of the Discrete Boundary Value Problem on the Half-Line
title_sort solvability of the discrete boundary value problem on the half-line
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8622468/
https://www.ncbi.nlm.nih.gov/pubmed/34828224
http://dx.doi.org/10.3390/e23111526
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