Unbounded solutions of a class of planar systems

DOI10.1016/J.JMAA.2004.04.044zbMath1062.34038OpenAlexW2083326959MaRDI QIDQ1877817

Xiaojing Yang

Publication date: 19 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.044

zbMATH Keywords

periodic solutionsFučik spectrumplanar system

Mathematics Subject Classification ID

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

Related Items (2)

Planar Hamiltonian systems at resonance: the Ahmad-Lazer-Paul condition ⋮ Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps

Cites Work

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• Nonlinear resonance in asymmetric oscillators
• Roots of unity and unbounded motions of an asymmetric oscillator
• Unbounded solutions of semilinear equations at resonance
• Oscillations of a forced asymmetric oscillator at resonance
• Irrational rotation numbers and unboundedness of solutions of the second order differential equations with asymmetric nonlinearities
• Boundedness and unboundedness of solutions for reversible oscillators at resonance

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