Irrational rotation numbers and unboundedness of solutions of the second order differential equations with asymmetric nonlinearities
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Publication:4779857
DOI10.1090/S0002-9939-02-06601-7zbMath1008.37023MaRDI QIDQ4779857
Publication date: 28 October 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Rotation numbers and vectors (37E45)
Related Items (6)
Unbounded solutions of a class of planar systems ⋮ Unbounded solutions and periodic solutions for second order differential equations with asymmetric nonlinearity ⋮ Invariant tori and unboundedness for second order differential equations with asymmetric nonlinearities depending on the derivatives ⋮ Coexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonance ⋮ 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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- Boundary-value problems for weakly nonlinear ordinary differential equations
- On the Dirichlet problem for weakly non-linear elliptic partial differential equations
- Unbounded solutions of semilinear equations at resonance
- On the periodic BVP for the forced duffing equation with jumping nonlinearity
- Asymmetric Oscillators and Twist Mappings
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