Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities
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Publication:1176505
DOI10.1016/0022-0396(91)90135-VzbMath0742.34043OpenAlexW2094977022MaRDI QIDQ1176505
Michel Willem, Pedro Martinez-Amores, Jean Mawhin, Rafael Ortega
Publication date: 25 June 1992
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(91)90135-v
Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34)
Related Items (11)
Generic-type results for chaotic dynamics in equations with periodic forcing terms ⋮ Many periodic solutions for pendulum-type equations ⋮ Limit periodic upper and lower solutions in a generic sense ⋮ Subharmonic solutions of weakly coupled Hamiltonian systems ⋮ Stable periodic solutions in the forced pendulum equation ⋮ Periodic solutions for higher-order neutral differential equations with several delays ⋮ Subharmonic solutions of the forced pendulum equation: a symplectic approach ⋮ The minimal period problem for the classical forced pendulum equation ⋮ Subharmonic solutions in reversible non-autonomous differential equations ⋮ Nondegeneracy and uniqueness of periodic solution for a Liénard equation ⋮ Periodic oscillations of forced pendulums with very small length
Cites Work
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- Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
- Subharmonic oscillations of forced pendulum-type equations
- The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
- Generalizations of the Poincaré-Birkhoff theorem
- Critical point theory and Hamiltonian systems
- Forced second order conservative systems with periodic nonlinearity
- On the periodic nonlinearity and the multiplicity of solutions
- An Infinite Dimensional Version of Sard's Theorem
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