Constructive proof of the existence of periodic solutions to the Duffing equation

DOI10.1007/BF02882778zbMath0910.34049MaRDI QIDQ1387458

Weiguo Li, Zhue Shen

Publication date: 8 April 1999

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

existenceperiodic solutionsuniquenessDuffing equationnumerical analysisconstructive methods

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Cites Work

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• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• A necessary and sufficient condition on the existence and uniqueness of 2\(\pi\)-periodic solution of Duffing equation
• Nonlinear boundary value problems and a global inverse function theorem
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Periodically perturbed conservative systems and a global inverse function theorem
• On the periodic solution to the Newtonian equation of motion
• A Constructive Proof of the Poincare-Birkhoff Theorem

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