Infinite frequency oscillations in a class of discontinuous equations with a variable delay
type: Item
instance of: scholarly article
title: Infinite frequency oscillations in a class of discontinuous equations with a variable delay
author: Liping Li
published in: Journal of Dynamics and Differential Equations
publication date: 2024-10-01T00:00:00Z
review text: The paper considers the following delay differential equation \N\[\N\dot{x}(t)=-\mathrm{sign}\, x(t-\tau(t))+f(x(t)),~~t>0, \N\]\N\[\Nx(s)=\varphi(s),~-h\leq s\leq 0, \N\]\Nwhere \(\sup_{t\in R}|f(x(t))|<1\).\N\NSome sufficient conditions are obtained for distribution of zero points of the solution and the non-existence of oscillatory solutions with infinite frequency.
reviewed by: Leonid Berezansky
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 34K39
zbMATH DE Number: 7920492
zbMATH Keywords: discontinuous equation
zbMATH Keywords: variable delay
zbMATH Keywords: oscillation
zbMATH Keywords: infinite frequency
MaRDI profile type: Publication
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DOI: 10.1007/S10884-022-10221-7
description: scientific article; zbMATH DE number 7920492