Periodic solutions of second order equations with asymptotical non-resonance

DOI10.3934/dcds.2018207zbMath1401.34051OpenAlexW2809157473MaRDI QIDQ1661194

Xiying Sun, Xue-Lei Wang, Qian, Dingbian

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018207

zbMATH Keywords

periodic solutionstopological degreetime mapasymptotical non-resonance

Mathematics Subject Classification ID

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

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Infinitely many periodic solutions of Duffing equations under integral condition

Cites Work

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• Periodic solutions of Duffing's equations with superquadratic potential
• On the use of time-maps for the solvability of nonlinear boundary value problems
• A continuation theorem for periodic boundary value problems with oscillatory nonlinearities
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance

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