The existence and application of unbounded connected components
type: Item
instance of: scholarly article
title: The existence and application of unbounded connected components
zbMATH Open document ID: 1406.46063
DOI: 10.1155/2014/780486
author: Hua Luo
author: Ruyun Ma
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: Let \(X\) be a Banach space and \(C_n\) a family of connected subsets of \(R\times X\). We prove the existence of unbounded components in superior limit of \(\{ C_n \}\), denoted by \(\overline\lim C_n\), which have prescribed shapes. As applications, we investigate the global behavior of the set of positive periodic solutions to nonlinear first-order differential equations with delay, which can be used for modeling physiological processes.
Mathematics Subject Classification ID: 46T20
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 7010751
Wikidata QID: Q59052327
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/780486
OpenAlex ID: W2049077368
description: scientific article; zbMATH DE number 7010751