Coincidence degree and periodic solutions of Duffing equations

DOI10.1016/S0362-546X(97)00664-0zbMath0931.34048OpenAlexW2068125085MaRDI QIDQ4259683

Shiwang Ma, Zhicheng Wang, Jian She Yu

Publication date: 23 February 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00664-0

zbMATH Keywords

Brouwer degreeMawhin's coincidence degreeDuffing equation with delay

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to functional-differential equations (34K13)

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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
• On periodic solutions of sublinear Duffing equations
• Periodic solutions of nonlinear delay equations
• Coincidence degree, and nonlinear differential equations
• Periodic solutions of some vector retarded functional differential equations
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Bounded perturbations of forced harmonic oscillators at resonance
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Time-maps for the solvability of periodically perturbed nonlinear duffing equations
• An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance

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