Existence and multiplicity of periodic solutions of the second order Liénard equation with Lipschtzian condition

DOI10.1016/S0362-546X(01)00720-9zbMath1017.34048MaRDI QIDQ1612542

Zaihong Wang

Publication date: 25 August 2002

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

zbMATH Keywords

existencemultiplicityperiodic solutionssecond-order Liénard equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (4)

Periodic solutions for \(p\)-Laplacian Rayleigh equations ⋮ Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument ⋮ On the existence of periodic solutions for Liénard type \(\phi\)-Laplacian equation ⋮ Unnamed Item

Cites Work

• Periodic solutions of asymptotically positively homogeneous differential equations
• Semilinear Duffing equations crossing resonance points
• Existence and multiplicity results for periodic solutions of semilinear Duffing equations
• Periodic solutions of some forced Liénard differential equations at resonance
• Periodic solutions of a second-order differential equation with one-sided growth restrictions on the restoring term
• Periodic solutions of a second order ordinary differential equation: A necessary and sufficient condition for nonresonance
• On the use of time-maps for the solvability of nonlinear boundary value problems
• Multiplicity of periodic solutions of semilinear Duffing's equation at resonance
• Periodic solutions of the Liénard equation with one-sided growth restrictions
• Periodic solutions of the second order differential equations with Lipschitzian condition
• An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
• On forced nonlinear oscillations for the second order equations with semiquadratic potential
• On The Existence of Periodic Solutions For Second Order Differential Equations with a Forcing Term
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