Some existence results of positive solution to second-order boundary value problems
type: Item
instance of: scholarly article
title: Some existence results of positive solution to second-order boundary value problems
zbMATH Open document ID: 1475.34025
DOI: 10.1155/2014/516452
author: Shuhong Li
author: Xiaoping Zhang
author: Yongping Sun
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study the existence of positive and monotone solution to the boundary value problem \(u''(t) + f(t, u(t)) = 0\), \(0 \leqslant t \leqslant 1\), \(u(0) = \xi u(1)\), \(u'(1) = \eta u'(0)\), where \(\xi, \eta \in(0,1) \cup(1, \infty)\). The main tool is the fixed point theorem of cone expansion and compression of functional type by \textit{R. Avery} et al. [Electron. J. Differ. Equ. 2008, Paper No. 22, 12 p. (2008; Zbl 1149.47042)]. Finally, four examples are provided to demonstrate the availability of our main results.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 7022533
Wikidata QID: Q59039034
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/516452
OpenAlex ID: W2097909794
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description: scientific article; zbMATH DE number 7022533