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Even periodic solutions of higher order Duffing differential equations. (English) Zbl 1174.34037

Summary: By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.

MSC:

34C25 Periodic solutions to ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations

References:

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[6] W. B. Liu: The Existence of periodic solutions for high order Duffing equations. Acta Math. Sinica 46 (2003), 49–56. · Zbl 1036.34052
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