Non-negative solutions of systems of ODEs with coupled boundary conditions
type: Item
instance of: scholarly article
title: Non-negative solutions of systems of ODEs with coupled boundary conditions
zbMATH Open document ID: 1280.34026
author: Feliz Minhós
author: Paolamaria Pietramala
author: Gennaro Infante
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2013-05-02T00:00:00Z
full work available at URL: http://hdl.handle.net/10174/7626
review text: In this very well written and interesting paper, the authors study a coupled system of perturbed Hammerstein integral equations. Due to the generality of the system, the authors use it to study the existence of positive solutions of nonlocal boundary value problems for ordinary differential equations. In particular, the boundary conditions can be quite general, being as they are realized as Stieltjes integrals with positive measures. The technique used to study the problem is the classical fixed point index. The paper concludes with an illustrative example, which greatly assists the reader in appreciating the application and strength of the results stated in the paper. Any researcher interested in boundary value problems will find this paper to be of significant interest to him or her.
reviewed by: Christopher Goodrich
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47H30
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6160172
zbMATH Keywords: fixed point index
zbMATH Keywords: cone
zbMATH Keywords: system
zbMATH Keywords: nonnegative solution
MaRDI profile type: Publication
OpenAlex ID: W2087008688
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DOI: 10.1016/J.CNSNS.2012.05.025
description: scientific article; zbMATH DE number 6160172