On forced nonlinear oscillations for the second order equations with semiquadratic potential

DOI10.1016/0362-546X(94)00208-YzbMath0849.34028MaRDI QIDQ4886572

Qian, Dingbian

Publication date: 14 November 1996

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

zbMATH Keywords

periodic solutionsperiodically forced second order equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Forced motions for nonlinear problems in mechanics (70K40)

Related Items (6)

Existence and multiplicity of periodic solutions of the second order Liénard equation with Lipschtzian condition ⋮ Periodic solutions for second order equations with time-dependent potential via time map ⋮ A new fixed point theorem and periodic solutions of nonconservative weakly coupled systems ⋮ Infinity of subharmonics for asymmetric Duffing equations with the Lazer-Leach-Dancer condition ⋮ Periodic solutions of Liénard differential equations with subquadratic potential conditions ⋮ Periodic solutions of the second-order forced Liénard equation via time maps

Cites Work

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• Existence and multiplicity results for periodic solutions of semilinear Duffing equations
• Periodic solutions of some forced Liénard differential equations at resonance
• Unbounded perturbations of forced second order ordinary differential equations at resonance
• Periodic solutions of Duffing's equations with superquadratic potential
• Schwingungssätze für die verallgemeinerte Lienardsche Differentialgleichung
• A continuation approach to superlinear periodic boundary value problems
• Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions
• A note on nonlinear oscillations at resonance
• An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
• Nonresonance with respect to the Fuc̆ik spectrum for periodic solutions of second order ordinary differential equations

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