Infinitely many periodic solutions of Duffing equations under integral condition

DOI10.12775/TMNA.2020.017zbMath1489.34068OpenAlexW3120543299MaRDI QIDQ2236476

Nannan Zheng, Zaihong Wang

Publication date: 25 October 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.017

zbMATH Keywords

periodic solutionDuffing equationPoincaré-Birkhoff fixed point theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Existence and multiplicity results for periodic solutions of semilinear Duffing equations
• Multiplicity of periodic solutions of semilinear Duffing's equation at resonance
• Periodic solutions of second order equations with asymptotical non-resonance
• A continuation theorem for periodic boundary value problems with oscillatory nonlinearities
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• A note on the Poincaré—Birkhoff fixed point theorem and periodic solutions of planar systems
• An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
• The Operator of Translation Along the Trajectories of Differential Equations

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