Oscillatory periodic solutions of differential-delay equations with multiple lags
type: Item
instance of: scholarly article
title: Oscillatory periodic solutions of differential-delay equations with multiple lags
zbMATH Open document ID: 0886.34060
DOI: 10.1007/BF02882587
author: Weigao Ge
published in: Chinese Science Bulletin
publication date: 1997-10-26T00:00:00Z
review text: Using known results about oscillatory periodic solutions of the delay differential equation \[ x'(t)=- \sum_{i=1}^n (- 1)^{[\frac{il}{n+1}]} f(x(t-i)) \] the author presents sufficient conditions under which the equation \[ x'(t)=- \sum_{i=1}^n \delta_i f(x(t-i)) \] admits at least one oscillatory periodic solution. Here \([a]\) indicates the maximal integer which is not greater than \(a\) and \(\delta_i\in \{-1,1\}\) for \(i=1,2,\dots, n\).
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1077936
zbMATH Keywords: oscillatory periodic solutions
zbMATH Keywords: delay differential equation
reviewed by: Jan Ohriska
MaRDI profile type: Publication
cites work: Periodic solutions of special differential equations: an example in non-linear functional analysis
full work available at URL: https://doi.org/10.1007/bf02882587
OpenAlex ID: W2085899747
description: scientific article; zbMATH DE number 1077936