Periodic solutions of some forced Liénard differential equations at resonance
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Publication:792523
DOI10.1007/BF01371406zbMath0537.34037OpenAlexW2021640823MaRDI QIDQ792523
Jean Mawhin, James Robert jun. Ward
Publication date: 1983
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01371406
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Cites Work
- Unnamed Item
- Unnamed Item
- Periodic solutions for systems of second order differential equations
- Periodic solutions of certain second order nonlinear differential equations
- Schwingungssätze für die verallgemeinerte Lienardsche Differentialgleichung
- Periodic solutions of a forced nonlinear oscillator involving a onesided restoring force
- 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
- Asymptotic Conditions for Periodic Solutions of Ordinary Differential Equations
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