Periodic solutions of second order equations via rotation numbers
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Publication:1720283
DOI10.1016/j.jde.2018.10.010zbMath1410.34125OpenAlexW2897733703WikidataQ129092125 ScholiaQ129092125MaRDI QIDQ1720283
Pedro J. Torres, Qian, Dingbian, Pei-Yu Wang
Publication date: 8 February 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.10.010
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Cites Work
- A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows
- A general method for the existence of periodic solutions of differential systems in the plane
- Infinitely many \(T\)-periodic solutions for a problem arising in nonlinear elasticity
- Periodic solutions of second order differential equations with superlinear asymmetric nonlinearities
- Periodic solutions of weakly coupled superlinear systems
- Forced vibrations of superquadratic Hamiltonian systems
- Generalizations of the Poincaré-Birkhoff theorem
- Periodic solutions of Duffing's equations with superquadratic potential
- On boundary value problems for superlinear second order differential equations
- Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
- Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems
- Rotation numbers, eigenvalues, and the Poincaré--Birkhoff theorem
- Positively homogeneous Hamiltonian systems in the plane
- On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs
- Periodic solutions of superlinear impulsive differential equations: a geometric approach
- Multiplicity results for asymptotically linear equations, using the rotation number approach
- Subharmonic solutions of the forced pendulum equation: a symplectic approach
- On the continuation of solutions of a certain non-linear differential equation
- A continuation approach to superlinear periodic boundary value problems
- Resonance Pockets of Hill's Equations with Two-Step Potentials
- ROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONS
- Existence of forced oscillations for some nonlinear differential equations
- Continuation Theorems for Periodic Perturbations of Autonomous Systems
- A note on the Poincaré—Birkhoff fixed point theorem and periodic solutions of planar systems
- Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
- One-Signed Harmonic Solutions and Sign-Changing Subharmonic Solutions to Scalar Second Order Differential Equations
- Subharmonic solutions of second order nonlinear equations: a time-map approach
- Periodic Motions of Linear Impact Oscillators via the Successor Map
- A Generalization of the Poincare-Birkhoff Theorem
- Infinity of subharmonics for asymmetric Duffing equations with the Lazer-Leach-Dancer condition
