Paths of Real Roots for Odd-Degree Polynomials with Parameters

In this paper, we construct a connected path of real roots of odd-degree real polynomials depending on parameters continuously, which joins with all parameters. Moreover, most of the points on the path are odd-multiple real roots except for at most countable even-multiple real roots. Furthermore, so...

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Bibliographic Details
Main Author: Junxiang Xu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2020/4729872