On the existence of periodic solutions to a \(p\)-Laplacian Rayleigh equation
type: Item
instance of: scholarly article
title: On the existence of periodic solutions to a \(p\)-Laplacian Rayleigh equation
zbMATH Open document ID: 1188.34089
author: Bo Du
author: Shiping Lu
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2009-10-26T00:00:00Z
review text: The existence of periodic solutions of the \(p\)-Laplacian Rayleigh equation \[ (\varphi_p(x'(t)))' + f(x'(t)) + g(x(t-\tau(t))) = e(t) \] is studied, where \(\varphi_p(s) = |s|^{p-2}s\), \(p>1\), \(\varphi_q = \varphi_p^{-1}\), \(\frac{1}{p} + \frac{1}{q} = 1\) and \(f\), \(g\), \(e\) and \(\tau\) are continuous functions with \(e\) and \(\tau\) being \(T\)-periodic. Sufficient conditions are obtained for the existence of at least one \(T\)-periodic solution by means of the generalised Mawhin's continuation theorem.
reviewed by: Zhanyuan Hou
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5620828
zbMATH Keywords: periodic solution
zbMATH Keywords: \(p\)-Laplacian Rayleigh equation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5620828