Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP

In this paper, we study the existence of positive solutions for the following nonlinear second-order third-point semi-positive BVP. We derive an explicit interval of positive parameters, which for any l,μ in this interval, the existence of positive solutions to the boundary value problem is guarante...

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Main Authors: Hua Su, Jinmin Yu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/7567858
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author Hua Su
Jinmin Yu
author_facet Hua Su
Jinmin Yu
author_sort Hua Su
collection DOAJ
description In this paper, we study the existence of positive solutions for the following nonlinear second-order third-point semi-positive BVP. We derive an explicit interval of positive parameters, which for any l,μ in this interval, the existence of positive solutions to the boundary value problem is guaranteed under the condition that at,x,bt,x are all superlinear (sublinear), or one is superlinear, the other is sublinear.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2021-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-95065fd00e7646db92f2a7f50f7efa122025-08-20T03:37:02ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/75678587567858Existence of Positive Solutions for Second-Order Third-Point Semipositive BVPHua Su0Jinmin Yu1School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaSchool of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaIn this paper, we study the existence of positive solutions for the following nonlinear second-order third-point semi-positive BVP. We derive an explicit interval of positive parameters, which for any l,μ in this interval, the existence of positive solutions to the boundary value problem is guaranteed under the condition that at,x,bt,x are all superlinear (sublinear), or one is superlinear, the other is sublinear.http://dx.doi.org/10.1155/2021/7567858
spellingShingle Hua Su
Jinmin Yu
Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP
Journal of Function Spaces
title Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP
title_full Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP
title_fullStr Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP
title_full_unstemmed Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP
title_short Existence of Positive Solutions for Second-Order Third-Point Semipositive BVP
title_sort existence of positive solutions for second order third point semipositive bvp
url http://dx.doi.org/10.1155/2021/7567858
work_keys_str_mv AT huasu existenceofpositivesolutionsforsecondorderthirdpointsemipositivebvp
AT jinminyu existenceofpositivesolutionsforsecondorderthirdpointsemipositivebvp