Sharp non-resonance conditions for periodically perturbed Liènard systems

DOI10.1007/BF01200464zbMath0573.34034OpenAlexW2055059753MaRDI QIDQ1063166

Pierpaolo Omari, Fabio Zanolin

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200464

zbMATH Keywords

Carathéodory conditionsretarded Liénard equationsecond order vector differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (3)

Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems ⋮ On the existence of periodic solutions of forced Liénard differential equations ⋮ Periodic solutions of nonlinear Liénard systems with forcing terms

Cites Work

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• On forced nonlinear oscillations
• On Schauder's fixed point theorem and forced second-order nonlinear oscillations
• An extension of a theorem of A. C. Lazer on forced nonlinear oscillations
• On forced nonlinear oscillations in nth order differential systems with geometric conditions

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