A priori bounds for periodic solutions of a delay Rayleigh equation
type: Item
instance of: scholarly article
title: A priori bounds for periodic solutions of a delay Rayleigh equation
zbMATH Open document ID: 0980.34068
DOI: 10.1016/S0893-9659(98)00169-4
author: Suisun Cheng
author: Gen-Qiang Wang
published in: Applied Mathematics Letters
publication date: 2002-02-22T00:00:00Z
review text: Consider the delay equation \((*)\) \(x'' (t) + \lambda f(x' (t)) + \lambda g(x(t-\tau (t))) =\lambda p(t),\) where all functions are continuous, \(\tau\) and \(p\) are \(2\pi\)-periodic, \(f(0)=0.\) The authors establish a priori bounds on periodic solutions to \((*)\) and prove a theorem on the existence of periodic solutions by means of the continuation method.
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 1369370
zbMATH Keywords: a priori bounds
zbMATH Keywords: periodic solutions
zbMATH Keywords: delay Rayleigh equation
reviewed by: Klaus R. Schneider
MaRDI profile type: Publication
cites work: Q4090678
cites work: Q5185568
cites work: Q3919998
cites work: Periodic solutions of a differential delay equation of Rayleigh type
cites work: Q3496546
cites work: Periodic solutions of the Rayleigh equation with damping of definite sign
description: scientific article; zbMATH DE number 1369370