Periodic solutions to superlinear planar Hamiltonian systems (Q442580)
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scientific article; zbMATH DE number 6063073
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions to superlinear planar Hamiltonian systems |
scientific article; zbMATH DE number 6063073 |
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Periodic solutions to superlinear planar Hamiltonian systems (English)
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2 August 2012
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The author generalizes some existence and multiplicity results for periodic solutions already established for scalar second order differential equations to planar Hamiltonian systems. He defines a notion of superlinearity for such systems which is rather general, and proves a theorem on the existence of infinitely many harmonic and subharmonic solutions. The proof makes use of a generalized version of the Poincaré-Birkhoff fixed point theorem in the plane.
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superlinear Hamiltonian systems
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Poincaré-Birkhoff
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fixed point theorem
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