Periodic solutions for \(p\)-Laplacian Rayleigh equations with a deviating argument
type: Item
instance of: scholarly article
title: Periodic solutions for \(p\)-Laplacian Rayleigh equations with a deviating argument
zbMATH Open document ID: 1126.34365
author: Shiguo Peng
author: Siming Zhu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-05-15T00:00:00Z
review text: The authors investigate the existence of \(\omega\)-periodic solutions for the \(p\)-Laplacian Rayleigh equation with deviating argument of the form \[ (\phi_p(x'(t)))'+f(x'(t))+g(x(t-\tau(t)))=e(t), \] where \(f,g,e\) and \(\tau\) are real continuous functions on \(R\), \(\tau\) and \(e\) are \(\omega\)-periodic with \(\omega>0\). Some new criteria are established for the existence of \(\omega\)-periodic solutions. The method involves the generalized Borsuk theorem in the coincidence degree theory.
reviewed by: Meng Fan
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 5152784
zbMATH Keywords: coincidence degree
MaRDI profile type: Publication
full work available at URL: j.na.2006.05.007
OpenAlex ID: W1984540160
cites work: Periodic solutions for a kind of Liénard equation with a deviating argument.
cites work: A priori bounds for periodic solutions of a delay Rayleigh equation
cites work: Periodic solutions for a kind of Rayleigh equation with a deviating argument.
cites work: Q3414593
cites work: Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument
cites work: Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument
cites work: On the existence of periodic solutions for \(p\)-Laplacian generalized Liénard equation
cites work: Periodic solutions for \(p\)-Laplacian Rayleigh equations
cites work: Ordinary differential equations with nonlinear boundary conditions
cites work: Nonuniform nonresonance at the first eigenvalue of the p-laplacian
DOI: 10.1016/J.NA.2006.05.007
description: scientific article; zbMATH DE number 5152784