Multiplicity results for periodic solutions of a second order quasilinear ODE with asymmetric nonlinearities

DOI10.1016/S0362-546X(97)00522-1zbMath0934.34035OpenAlexW203254509MaRDI QIDQ4266428

Bin Liu

Publication date: 10 April 2000

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

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00522-1

zbMATH Keywords

asymmetric nonlinearitysecond-order quasilinear ordinary differential equationperiodic harmonic subharmonic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (12)

Periodic solutions for \(p\)-Laplacian Liénard equation with a deviating argument ⋮ Periodic solutions for the 1-dimensional \(p\)-Laplacian equation ⋮ Applications of the Poincaré-Birkhoff theorem to impulsive Duffing equations at resonance ⋮ Existence of periodic solutions for \(p\)-Laplacian equation under the frame of Fučik spectrum ⋮ Existence of periodic solutions for the Duffing equation with impulses ⋮ Existence of periodic solutions for second-order Duffing equations with \(p\)-Laplacian-like operators ⋮ Periodic solutions of some resonant Hamiltonian systems ⋮ Periodic solutions for a kind of Liénard equation ⋮ Periodic solutions for Duffing equations with a \(p\)-Laplacian-like operator ⋮ On the existence of periodic solutions for \(p\)-Laplacian generalized Liénard equation ⋮ Second-order periodic problem with \(\varphi \)-Laplacian and impulses ⋮ A Landesman-Lazer type theorem for periodic solutions of the resonant asymmetric \(p\)-Laplacian equation

Cites Work

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• Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
• Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
• A Generalization of the Poincare-Birkhoff Theorem

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