Unbounded solutions and periodic solutions for second order differential equations with asymmetric nonlinearity

DOI10.1090/S0002-9939-07-08928-9zbMath1204.34042MaRDI QIDQ5291920

Xiong Li, Ziheng Zhang

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsunbounded solutionsasymmetric oscillator

Mathematics Subject Classification ID

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

Related Items (4)

Limit cycles for a class of second order differential equations ⋮ Periodic oscillation in suspension bridge model with a periodic damping term ⋮ Unbounded solutions of asymmetric oscillator ⋮ Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance

Cites Work

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• A Semi-Fredholm Principle for Periodically Forced Systems with Homogeneous Nonlinearities
• Irrational rotation numbers and unboundedness of solutions of the second order differential equations with asymmetric nonlinearities
• Asymmetric Oscillators and Twist Mappings
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Jumping nonlinearities for neumann BVPs with positive forcing
• Boundedness and unboundedness of solutions for reversible oscillators at resonance
• Boundedness and unboundedness of solutions for reversible oscillators at resonance

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