A constructive proof of existence and uniqueness of \(2\pi\)-periodic solutions to the Duffing equation

DOI10.1016/S0362-546X(99)00137-6zbMath0982.34037MaRDI QIDQ1586665

Shen Zuhe, Li Weiguo

Publication date: 26 September 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

periodic solutionexistence and uniquenessDuffing equationalgorithm of finding

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items (9)

Periodic solution to nonlinear differential equation at resonance ⋮ Existence and uniqueness of periodic solution for a class of differential systems ⋮ Existence of periodic solutions for second-order Duffing equations with \(p\)-Laplacian-like operators ⋮ Periodic solutions for Duffing equations with a \(p\)-Laplacian-like operator ⋮ Periodic solutions for \(2k\)th order ordinary differential equations with resonance ⋮ An application of a global inversion theorem to an existence and uniqueness theorem for a class of nonlinear systems of differential equations ⋮ Periodic solutions for \(2k\)th boundary value problem with resonance ⋮ Existence of periodic solution for nonlinear differential equations. ⋮ Periodic solutions for second order differential equations

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