Continuity of roots, revisited

Dariusz Bugajewski , Piotr Maćkowiak


The aim of this note is to give a simple topological proof of the well-known result concerning continuity of roots of polynomials. We also consider a more general case with polynomials of a higher degree approaching a given polynomial. We then examine the continuous dependence of solutions of linear differential equations with constant coefficients.
Author Dariusz Bugajewski - Adam Mickiewicz University (UAM)
Dariusz Bugajewski,,
, Piotr Maćkowiak (WIiGE / KEM)
Piotr Maćkowiak,,
- Department of Mathematical Economics
Journal seriesBulletin of the Australian Mathematical Society, ISSN 0004-9727, (A 20 pkt)
Issue year2018
Publication size in sheets0.5
Keywords in Englishroots of polynomials, continuity of roots and solutions, linear differential equations with constant coefficients
ASJC Classification2600 General Mathematics
Languageen angielski
Score (nominal)20
Score sourcejournalList
ScoreMinisterial score = 20.0, 12-03-2020, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.908; WoS Impact Factor: 2018 = 0.592 (2) - 2018=0.664 (5)
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UwagiFirst Online 15 Aug 2018
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