Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities

Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities

We study the existence of positive solutions for second-order nonlinear repulsive singular difference systems with periodic boundary conditions. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on a fixed point theorem in cones and a nonlinear alternati...

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Main Authors: Shengjun Li, Fang Zhang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9954156
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spelling doaj-02cfc510d0e54a1d979fbcbafc3d5dee2021-07-26T00:34:19ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9954156Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive SingularitiesShengjun Li0Fang Zhang1School of ScienceDepartment of MathematicsWe study the existence of positive solutions for second-order nonlinear repulsive singular difference systems with periodic boundary conditions. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on a fixed point theorem in cones and a nonlinear alternative principle of Leray-Schauder; the result is applicable to the case of a weak singularity as well as the case of a strong singularity. An example is given; some recent results in the literature are improved and generalized.http://dx.doi.org/10.1155/2021/9954156
collection DOAJ
language English
format Article
sources DOAJ
author Shengjun Li
Fang Zhang
spellingShingle Shengjun Li
Fang Zhang
Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities
Journal of Function Spaces
author_facet Shengjun Li
Fang Zhang
author_sort Shengjun Li
title Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities
title_short Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities
title_full Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities
title_fullStr Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities
title_full_unstemmed Multiple Positive Solutions of Second-Order Nonlinear Difference Systems with Repulsive Singularities
title_sort multiple positive solutions of second-order nonlinear difference systems with repulsive singularities
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description We study the existence of positive solutions for second-order nonlinear repulsive singular difference systems with periodic boundary conditions. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on a fixed point theorem in cones and a nonlinear alternative principle of Leray-Schauder; the result is applicable to the case of a weak singularity as well as the case of a strong singularity. An example is given; some recent results in the literature are improved and generalized.
url http://dx.doi.org/10.1155/2021/9954156
work_keys_str_mv AT shengjunli multiplepositivesolutionsofsecondordernonlineardifferencesystemswithrepulsivesingularities
AT fangzhang multiplepositivesolutionsofsecondordernonlineardifferencesystemswithrepulsivesingularities
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