Periodic solutions to superlinear planar Hamiltonian systems
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Publication:442580
DOI10.4171/PM/1909zbMath1252.34045OpenAlexW1997003040MaRDI QIDQ442580
Publication date: 2 August 2012
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/pm/1909
Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)
Related Items
Infinitely many periodic solutions of planar Hamiltonian systems via the Poincaré-Birkhoff theorem ⋮ Periodic solutions of weakly coupled superlinear systems ⋮ Subharmonic solutions of indefinite Hamiltonian systems via rotation numbers ⋮ Existence of a periodic solution for superlinear second order ODEs
Cites Work
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- Multiplicity results for superquadratic Dirichlet boundary value problems in \(\mathbb R^2\)
- Forced vibrations of superquadratic Hamiltonian systems
- 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
- Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincaré-Birkhoff theorem
- Infinitely many solutions to superquadratic planar Dirac-type systems
- On the continuation of solutions of a certain non-linear differential equation
- A continuation approach to superlinear periodic boundary value problems
- Subharmonic Solutions for Some Second-Order Differential Equations with Singularities
- Subharmonic Solutions of Planar Hamiltonian Systems: a Rotation Number Approach
- An Infinite Class of Periodic Solutions of Periodically Perturbed Duffing Equations at Resonance
- Some remarks on the Poincaré-Birkhoff theorem
- Subharmonic solutions of second order nonlinear equations: a time-map approach
- A Generalization of the Poincare-Birkhoff Theorem
