Existence of periodic and bounded solutions of the generalized Liénard equation under forcing

DOI10.1016/S0034-4877(97)81474-7zbMath0925.34053OpenAlexW2085357648MaRDI QIDQ1373703

Jan Andres

Publication date: 8 August 1999

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)81474-7

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

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• Non-existence of periodic solutions of the Liénard system
• On a boundedness condition for solutions of a generalized Liénard equation
• Asymptotic properties of solutions to quasi-linear differential systems
• Expension of some results concerning the generalized Lienard equation
• Constructive methods for nonlinear boundary value problems and nonlinear oscillations. Conference at the Oberwolfach Mathematical Research Institute, Black Forest, November 19-25, 1978
• A boundedness result of Landesman-Lazer type
• Periodic solutions of the Liénard equation with one-sided growth restrictions
• An extension of a theorem of A. C. Lazer on forced nonlinear oscillations
• Periodic Solutions of some Lienard Equations with Singularities
• Topological Degree and Stability of Periodic Solutions for Certain Differential Equations
• Existence of asymptotically stable periodic solutions of a forced equation of Lienard type
• Boundedness and global asymptotic stability of a forced oscillator
• On the Liénard system which has no periodic solutions
• A Nonstandard Resonance Problem for Ordinary Differential Equations

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