Periodic solutions for Duffing equations with a \(p\)-Laplacian-like operator

DOI10.1016/j.camwa.2006.03.030zbMath1132.34036OpenAlexW2000593375MaRDI QIDQ2458524

Youyu Wang, Weigao Ge

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.03.030

zbMATH Keywords

periodic solutionDuffing equationsgeneralized polar coordinatesLaplacian-like operator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (3)

Novel existence and uniqueness criteria for periodic solutions of a Duffing type \(p\)-Laplacian equation ⋮ Three solutions for forced Duffing-type equations with damping term ⋮ Existence and uniqueness of positive periodic solution for \(\phi\)-Laplacian Liénard equation

Cites Work

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• Existence and multiplicity results for periodic solutions of semilinear Duffing equations
• Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance
• On the number of \(2\pi\)-periodic solutions for \(u+g(u)=s(1+h(t))\) using the Poincaré-Birkhoff theorem
• Multiplicity of periodic solutions of semilinear Duffing's equation at resonance
• A constructive proof of existence and uniqueness of \(2\pi\)-periodic solutions to the Duffing equation
• Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
• The existence of solutions to Sturm-Liouville boundary value problems with Laplacian-like operator.
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• Multiplicity results for periodic solutions of a second order quasilinear ODE with asymmetric nonlinearities
• The Existence and Multiplicity of Periodic Solutions for Duffing's Equation ü +g (u ) = s +h (t )

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