Can a solution of a linear delay differential equation have an infinite number of isolated zeros on a finite interval?

Leonid Berezansky; Yury Domshlak

doi:10.1016/j.aml.2005.08.008

Can a solution of a linear delay differential equation have an infinite number of isolated zeros on a finite interval?

Leonid Berezansky, Yury Domshlak

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A solution of a linear delay differential equation can have an infinite number of isolated zeros on a finite interval. As is well known, for ordinary differential equations this is impossible.

Original language	English
Pages (from-to)	587-589
Number of pages	3
Journal	Applied Mathematics Letters
Volume	19
Issue number	6
DOIs	https://doi.org/10.1016/j.aml.2005.08.008
State	Published - 1 Jun 2006

Keywords

Isolated zeros
Linear delay differential equations

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1016/j.aml.2005.08.008

Cite this

@article{d8a6256678e448e099de8c1eae5d585b,

title = "Can a solution of a linear delay differential equation have an infinite number of isolated zeros on a finite interval?",

abstract = "A solution of a linear delay differential equation can have an infinite number of isolated zeros on a finite interval. As is well known, for ordinary differential equations this is impossible.",

keywords = "Isolated zeros, Linear delay differential equations",

author = "Leonid Berezansky and Yury Domshlak",

year = "2006",

month = jun,

day = "1",

doi = "10.1016/j.aml.2005.08.008",

language = "English",

volume = "19",

pages = "587--589",

journal = "Applied Mathematics Letters",

issn = "0893-9659",