The existence of the second fixed point: A correction to Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem

DOI10.1016/0022-0396(77)90187-5zbMath0354.34043OpenAlexW2076238038MaRDI QIDQ1236688

Howard Jacobowitz

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90187-5

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems and ergodic theory (37-XX)

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Subharmonic solutions of second order nonlinear equations: a time-map approach ⋮ KAM theory for particles in periodic potentials ⋮ Periodic oscillations for a nonlinear suspension bridge model ⋮ Poincaré-Birkhoff Theorems in random dynamics ⋮ Applications of the Poincaré-Birkhoff theorem to impulsive Duffing equations at resonance ⋮ Periodic solutions of discontinuous Duffing equations ⋮ A note on the Poincaré—Birkhoff fixed point theorem and periodic solutions of planar systems ⋮ Multiple Periodic Solutions for a Duffing Type Equation with One-Sided Sublinear Nonlinearity: Beyond the Poincaré-Birkhoff Twist Theorem ⋮ Periodic solutions of Duffing's equations with superquadratic potential ⋮ Some remarks on the Poincaré-Birkhoff theorem ⋮ Kolmogorov stability, the impossibility of Fermi acceleration and the existence of periodic solutions in some Hamiltonian-type systems ⋮ Existence of a periodic solution for superlinear second order ODEs

Cites Work

• On boundary value problems for superlinear second order differential equations
• Proof of the Poincaré-Birkhoff fixed point theorem
• Periodic solutions of x+f(x,t)=0 via the Poincaré-Birkhoff theorem
• Natural Isoperimetric Conditions in the Calculus of Variations
• Unnamed Item