Building infinitely many solutions for some model of sublinear multipoint boundary value problems
type: Item
instance of: scholarly article
title: Building infinitely many solutions for some model of sublinear multipoint boundary value problems
zbMATH Open document ID: 1343.34054
DOI: 10.1155/2015/732761
author: Guy A. Degla
published in: Abstract and Applied Analysis
publication date: 2016-08-26T00:00:00Z
review text: Summary: We show that the sublinearity hypothesis of some well-known existence results on multipoint Boundary Value Problems (in short BVPs) may allow the existence of infinitely many solutions by using Tietze extension theorem. This is a qualitative result which is of concern in Applied Analysis and can motivate more research on the conditions that ascertain the existence of multiple solutions to sublinear BVPs. The idea of the proof is of independent interest since it shows a constructive way to have ordinary differential equations with multiple solutions.
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6619867
Wikidata QID: Q59101417
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/732761
OpenAlex ID: W1922797667
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description: scientific article; zbMATH DE number 6619867