On the existence of a unique periodic solution to a Liénard type \(p\)-Laplacian non-autonomous equation

DOI10.1016/j.na.2008.10.066zbMath1175.34057OpenAlexW2059827589MaRDI QIDQ1021721

Xiao-Xu Xia, Xian-Zhi Dai, Yong Wang

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.066

zbMATH Keywords

periodic solutions\(p\)-LaplacianLiénard equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (8)

Study on a kind of \(\phi \)-Laplacian Liénard equation with attractive and repulsive singularities ⋮ ON THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTION FOR RAYLEIGH TYPE p-LAPLACIAN EQUATION ⋮ EXISTENCE OF PERIODIC SOLUTION FOR FOURTH-ORDER LI&#201;NARD TYPE <i>P</i> -LAPLACIAN GENERALIZED NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER ⋮ Singularities of attractive and repulsive type for \(p\)-Laplacian generalized Liénard equation ⋮ Modeling the Nonlinear Oil-Water Two-Phase Flow Behavior for a Multiple-Fractured Horizontal Well in Triple Media Carbonate Reservoir ⋮ Existence and uniqueness of positive periodic solution for \(\phi\)-Laplacian Liénard equation ⋮ New result of existence of periodic solutions for a generalized p-Laplacian Liénard type differential equation with a variable delay ⋮ New results on the existence of periodic solutions for a higher-order Li é nard type p -Laplacian differential equation

Cites Work

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• Existence and uniqueness of periodic solutions for a kind of Liénard equation with two deviating arguments
• Existence and multiplicity of positive solutions for the \(p\)-Laplacian with nonlocal coefficient
• The monotone iterative technique for three-point second-order integrodifferential boundary value problems with \(p\)-Laplacian
• Existence and uniqueness of periodic solutions for a kind of Liénard equation with a deviating argument
• Existence of periodic solutions to a \(p\)-Laplacian Liénard differential equation with a deviating argument
• Periodic solutions for Liénard type \(p\)-Laplacian equation with a deviating argument
• A general equation for relaxation oscillations
• Periodic solutions of the second-order forced Liénard equation via time maps

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