Novel existence and uniqueness criteria for periodic solutions of a Duffing type \(p\)-Laplacian equation
type: Item
instance of: scholarly article
title: Novel existence and uniqueness criteria for periodic solutions of a Duffing type \(p\)-Laplacian equation
zbMATH Open document ID: 1194.34080
author: Yong Wang
published in: Applied Mathematics Letters
publication date: 2010-04-14T00:00:00Z
review text: The author proves an existence result for periodic solutions of a scalar ordinary differential equation involving the \(p\)-Laplacian, thus improving a result by \textit{R. Manasevich} and \textit{J. Mawhin} [J. Differ. Equations 145, No.~2, 367--393 (1998; Zbl 0910.34051)]. Roughly speaking, the nonlinearity is assumed to stay below the first eigenvalue. An uniqueness result is also obtained, under some monotonicity assumptions.
reviewed by: Alessandro Fonda
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5692729
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
full work available at URL: j.aml.2009.11.013
OpenAlex ID: W1998054489
cites work: Periodic solutions of Duffing equations with semi-quadratic potential and singularity
cites work: Rate of decay of stable periodic solutions of Duffing equations
cites work: Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions.
cites work: Periodic solutions for Duffing equations with a \(p\)-Laplacian-like operator
cites work: Existence and uniqueness of periodic solutions for a kind of Duffing type \(p\)-Laplacian equation
cites work: Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
DOI: 10.1016/J.AML.2009.11.013
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description: scientific article; zbMATH DE number 5692729