Periodic solutions of a second order nonlinear system
type: Item
instance of: scholarly article
title: Periodic solutions of a second order nonlinear system
zbMATH Open document ID: 0896.34033
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-10-11T00:00:00Z
review text: The existence of periodic solutions of the Liénard system \[ x''(t)+ d[\text{grad }F(x(t))]/dt+ g(t,x(t))= e(t), \] where \(x\) is an \(n\)-dimensional vector and \(e(t)\) and \(g(t, x(t))\) are \(2\pi\)-periodic in \(t\), is investigated for various asymptotic behaviours of \(g\). Conditions for periodic solutions with detailed conditions are given in four theorems.
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1115510
zbMATH Keywords: existence
zbMATH Keywords: Liénard system
zbMATH Keywords: periodic solutions
author: Nguyên Phuong Các
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5613
OpenAlex ID: W1971763086
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DOI: 10.1006/JMAA.1997.5613
description: scientific article; zbMATH DE number 1115510