A second zero of a function.
type: Item
instance of: scholarly article
title: A second zero of a function.
zbMATH Open document ID: 1033.58011
DOI: 10.1016/S0096-3003(01)00237-5
author: Yanyan Li
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: A sufficient condition is given for a \(C^{m-n+1}\)-mapping from \(\mathbb R^m\) to \(\mathbb R^n\) with a zero point to have a second zero. The existence of a path, parametrized by the arclength, linking both zeros is proved. The existence condition still holds for continuous mappings when \(m=n\).
reviewed by: Josef Janyška
Mathematics Subject Classification ID: 58C30
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1861252
zbMATH Keywords: zero point
zbMATH Keywords: Banach fix point theorem
zbMATH Keywords: homotopy
zbMATH Keywords: topological degree
MaRDI profile type: Publication
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full work available at URL: s0096-3003(01)00237-5
OpenAlex ID: W2026684140
description: scientific article; zbMATH DE number 1861252