Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential Equations

In this paper, we study the existence of positive solutions of the following second-order semipositone system (see equation 1). By applying a well-known fixed-point theorem, we prove that the problem admits at least one positive solution, if f is bounded below.

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Main Authors: Yunhai Wang, Xu Yang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/7210608
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author Yunhai Wang
Xu Yang
author_facet Yunhai Wang
Xu Yang
author_sort Yunhai Wang
collection DOAJ
description In this paper, we study the existence of positive solutions of the following second-order semipositone system (see equation 1). By applying a well-known fixed-point theorem, we prove that the problem admits at least one positive solution, if f is bounded below.
format Article
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issn 2314-8896
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language English
publishDate 2020-01-01
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series Journal of Function Spaces
spelling doaj-art-c7e93c497d8b43c39c2f0d35d7a89fb22025-08-20T02:20:01ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/72106087210608Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential EquationsYunhai Wang0Xu Yang1School of Aeronautics, Shandong Jiao Tong University, Jinan 250357, ChinaGroup of Mathematics, Xinhuai Senior High School, Huai´ an 223001, ChinaIn this paper, we study the existence of positive solutions of the following second-order semipositone system (see equation 1). By applying a well-known fixed-point theorem, we prove that the problem admits at least one positive solution, if f is bounded below.http://dx.doi.org/10.1155/2020/7210608
spellingShingle Yunhai Wang
Xu Yang
Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential Equations
Journal of Function Spaces
title Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential Equations
title_full Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential Equations
title_fullStr Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential Equations
title_full_unstemmed Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential Equations
title_short Analysis on Existence of Positive Solutions for a Class Second Order Semipositone Differential Equations
title_sort analysis on existence of positive solutions for a class second order semipositone differential equations
url http://dx.doi.org/10.1155/2020/7210608
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AT xuyang analysisonexistenceofpositivesolutionsforaclasssecondordersemipositonedifferentialequations