On the existence of periodic solutions of forced Liénard differential equations

DOI10.1016/0362-546X(87)90104-0zbMath0644.34030OpenAlexW2043295524MaRDI QIDQ3786769

Pierpaolo Omari, Fabio Zanolin

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90104-0

zbMATH Keywords

topological degreeLiénard equationsforced Liénard equationsecond order differential equaion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (10)

Periodic solutions of a second-order differential equation with one-sided growth restrictions on the restoring term ⋮ Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations ⋮ On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments ⋮ Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument ⋮ Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems ⋮ Periodic solutions of nonlinear Liénard systems with forcing terms ⋮ Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On periodic solutions of sublinear Duffing equations

Cites Work

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• Periodic solutions of Liénard equations
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• On Schauder's fixed point theorem and forced second-order nonlinear oscillations
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• On the generalized Lienard equation with negative damping
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• On the Existence of Periodic Solutions of the Non-linear Differential Equation, $\ddot{x}+a(x) \cdot \dot{x}+\varphi (x)=p(t)$
• Existence of Periodic Solutions for Certain Differential Equations

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