Existence of periodic solutions for second-order Duffing equations with \(p\)-Laplacian-like operators

DOI10.1016/j.na.2009.01.084zbMath1182.34062OpenAlexW2068873208MaRDI QIDQ923897

Chengmin Hou, Chune Zhang, Youyu Wang, Weigao Ge

Publication date: 24 July 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.2009.01.084

zbMATH Keywords

periodic solutionsLaplacian-like operators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (2)

Existence and uniqueness of positive periodic solution for \(\phi\)-Laplacian Liénard equation ⋮ New results on the existence of periodic solutions for a higher-order Li é nard type p -Laplacian differential equation

Cites Work

• Semilinear Duffing equations crossing resonance points
• 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.
• Existence of periodic solutions for nonlinear differential equations with a \(p\)-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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