Problems of periodic solutions for a type of Duffing equation with state-dependent delay
type: Item
instance of: scholarly article
title: Problems of periodic solutions for a type of Duffing equation with state-dependent delay
zbMATH Open document ID: 1196.34090
author: Bo Du
author: Chuanzhi Bai
author: Xiangkui Zhao
published in: Journal of Computational and Applied Mathematics
publication date: 2010-03-04T00:00:00Z
review text: The authors deal with the following Duffing equation with state-dependent delay \[ x''(t)+g(x(t-\tau(t,x(t))))=p(t), \] where \(g, p\in C(\mathbb R,\mathbb R)\) with \(p(t+T)=p(t)\), \(\tau\in C(\mathbb R^2,\mathbb R^+)\) with \(\tau(t+T,x)=\tau(t,x)\), \(T>0\) is a given constant and \(\mathbb R^+=[0,+\infty)\). By employing a continuation theorem of the coincidence degree theory, more general delay-dependent sufficient criteria are established for the existence of \(T\)-periodic solutions, which generalize some related results independent of the delay in the literature.
reviewed by: Meng Fan
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5677327
zbMATH Keywords: Duffing equation
zbMATH Keywords: periodic solution
zbMATH Keywords: continuation theorem in coincidence degree
MaRDI profile type: Publication
full work available at URL: j.cam.2009.11.026
OpenAlex ID: W2011473408
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DOI: 10.1016/J.CAM.2009.11.026
description: scientific article; zbMATH DE number 5677327