Periodic solutions for a kind of second-order neutral differential systems with deviating arguments
type: Item
instance of: scholarly article
title: Periodic solutions for a kind of second-order neutral differential systems with deviating arguments
zbMATH Open document ID: 1069.34101
author: Shiping Lu
author: Weigao Ge
published in: Applied Mathematics and Computation
publication date: 2004-11-23T00:00:00Z
review text: The authors consider a second-order neutral differential equation of the form \[ \frac{d^2}{dt^2} (x(t) + Cx(t-r)) + \frac{d}{dt}\text{grad}\, F(x(t)) + \text{grad} \,G(x(t-\tau(t))) = p(t). \] Applying a generalized continuation theorem of the coincidence theory, the existence of periodic solutions is established.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 2118002
zbMATH Keywords: neutral differential equations
zbMATH Keywords: periodic solutions
zbMATH Keywords: generalized continuation theorem
reviewed by: M. Akhmet
MaRDI profile type: Publication
full work available at URL: j.amc.2003.06.018
OpenAlex ID: W2079834069
cites work: Periodic solutions of some forced Liénard differential equations at resonance
cites work: Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
cites work: An existence result of periodic solutions
cites work: Periodic solutions of a second order nonlinear system
cites work: Periodic solutions of the Liénard equation with one-sided growth restrictions
cites work: On the Existence of Periodic Solutions for Scalar Second Order Differential Equations when only the Asymptotic Behaviour of the Potential is Known
cites work: Subharmonic Solutions of Conservative Systems with Nonconvex Potentials
cites work: On the existence of harmonic solutions of Liénard systems
cites work: Periodic solutions of nonlinear delay equations
cites work: Coincidence degree and periodic solutions of Duffing equations
cites work: Q4778516
cites work: Periodic solutions for a kind of second order differential equation with multiple deviating arguments.
cites work: Q3860165
cites work: Ordinary differential equations with nonlinear boundary conditions
cites work: Periodic solutions of linear and quasilinear neutral functional differential equations
DOI: 10.1016/J.AMC.2003.06.018
description: scientific article; zbMATH DE number 2118002