Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
type: Item
instance of: scholarly article
title: Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
zbMATH Open document ID: 1078.34048
author: Shiping Lu
author: Weigao Ge
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-09-22T00:00:00Z
review text: The authors study the problem of existence of periodic solutions for the Rayleigh equation with deviating argument \[ x''(t)+ f(x'(t))+ g(x(t- \tau(t)))= p(t), \] where \(f\), \(g\), \(p\) and \(\tau\) are real continuous functions defined on \(\mathbb{R}\); \(\tau\) and \(p\) are periodic with period \(T> 0\). By using Mawhin's continuation theorem, the authors obtain some new results.
reviewed by: Olga Lykova
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 2101850
zbMATH Keywords: periodic solution
zbMATH Keywords: continuation theorem
zbMATH Keywords: deviating argument
zbMATH Keywords: Rayleigh equation
MaRDI profile type: Publication
full work available at URL: j.na.2003.09.021
OpenAlex ID: W2038045756
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DOI: 10.1016/J.NA.2003.09.021
description: scientific article; zbMATH DE number 2101850