Oscillations for Liénard type equations

DOI10.1016/j.matpur.2008.02.010zbMath1158.34321OpenAlexW2035156349MaRDI QIDQ935284

Leopold Herrmann

Publication date: 6 August 2008

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2008.02.010

zbMATH Keywords

Liénard equationnonlinear vibrationoscilatory timeuniform oscillation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (3)

Oscillatory solutions of some autonomous partial differential equations with a parameter ⋮ Conditions for approaching the origin without intersecting the x-axis in the Liénard plane ⋮ Unnamed Item

Cites Work

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• Limit cycle uniqueness for a class of planar dynamical systems
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• Global existence of solutions for a class of nonlinear differential equations
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• When do all trajectories in the Liénard plane cross the vertical isocline?
• Conjugate points of second order ordinary differential equations with jumping nonlinearities
• Some sufficient conditions for the intersection with the vertical isocline in the Liénard plane
• On the generalized Lienard equation with forcing function
• On the generalized Lienard equation with negative damping
• On the boundedness of solutions of the generalized Liénard equation without the signum condition
• The Generalized Lienard Equation
• Global Asymptotic Stability of a Generalized Liénard Equation
• Oscillation of Solutions of a Generalized Lienard Equation
• Comparison and Oscillation Theory Liénard’s Equation with Positive Damping

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