Positive solutions of a discrete second-order boundary value problems with fully nonlinear term

Abstract In this paper, we mainly consider a kind of discrete second-order boundary value problem with fully nonlinear term. By using the fixed-point index theory, we obtain some existence results of positive solutions of this kind of problems. Instead of the upper and lower limits condition on f, w...

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Main Authors: Liyun Jin, Hua Luo
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-020-03039-4
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author Liyun Jin
Hua Luo
author_facet Liyun Jin
Hua Luo
author_sort Liyun Jin
collection DOAJ
description Abstract In this paper, we mainly consider a kind of discrete second-order boundary value problem with fully nonlinear term. By using the fixed-point index theory, we obtain some existence results of positive solutions of this kind of problems. Instead of the upper and lower limits condition on f, we may only impose some weaker conditions on f.
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spelling doaj.art-3bcae43c07e64196811e096e3b88326c2022-12-21T19:17:07ZengSpringerOpenAdvances in Difference Equations1687-18472020-10-012020111410.1186/s13662-020-03039-4Positive solutions of a discrete second-order boundary value problems with fully nonlinear termLiyun Jin0Hua Luo1Department of Basic Education, Lanzhou Vocational Technical CollegeSchool of Economics and Finance, Shanghai International Studies UniversityAbstract In this paper, we mainly consider a kind of discrete second-order boundary value problem with fully nonlinear term. By using the fixed-point index theory, we obtain some existence results of positive solutions of this kind of problems. Instead of the upper and lower limits condition on f, we may only impose some weaker conditions on f.http://link.springer.com/article/10.1186/s13662-020-03039-4Second-order discrete boundary value problemsPositive solutionsFixed-point index theory
spellingShingle Liyun Jin
Hua Luo
Positive solutions of a discrete second-order boundary value problems with fully nonlinear term
Advances in Difference Equations
Second-order discrete boundary value problems
Positive solutions
Fixed-point index theory
title Positive solutions of a discrete second-order boundary value problems with fully nonlinear term
title_full Positive solutions of a discrete second-order boundary value problems with fully nonlinear term
title_fullStr Positive solutions of a discrete second-order boundary value problems with fully nonlinear term
title_full_unstemmed Positive solutions of a discrete second-order boundary value problems with fully nonlinear term
title_short Positive solutions of a discrete second-order boundary value problems with fully nonlinear term
title_sort positive solutions of a discrete second order boundary value problems with fully nonlinear term
topic Second-order discrete boundary value problems
Positive solutions
Fixed-point index theory
url http://link.springer.com/article/10.1186/s13662-020-03039-4
work_keys_str_mv AT liyunjin positivesolutionsofadiscretesecondorderboundaryvalueproblemswithfullynonlinearterm
AT hualuo positivesolutionsofadiscretesecondorderboundaryvalueproblemswithfullynonlinearterm