scientific article; zbMATH DE number 4167

zbMath0755.34035MaRDI QIDQ4710800

Grabriella Tarantello

Publication date: 25 June 1992

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1988_4_15_3_357_0

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zbMATH Keywords

subharmonic solutionsnonautonomous second order systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (7)

Subharmonic oscillations with prescribed minimal period for a class of hamiltonian systems ⋮ An index theory and existence of multiple brake orbits for star-shaped Hamiltonian systems ⋮ Multiplicity of subharmonic solutions of forced Hamiltonian systems near an equilibrium ⋮ Subharmonic oscillations of forced pendulum-type equations ⋮ Subharmonic solutions with prescribed minimal period of a class of nonautonomous Hamiltonian systems ⋮ A ``Birkhoff-Lewis type result for a class of Hamiltonian systems ⋮ A p Borsuk-Ulam theorem and index theory with a multiplicity result in partial differential equations

Cites Work

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• Nonlinear oscillations and boundary value problems for Hamiltonian systems
• Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems
• Periodic solutions of convex autonomous Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity
• Subharmonic solutions with prescribed minimal period for nonautonomous Hamiltonian systems
• A ``Birkhoff-Lewis type result for a class of Hamiltonian systems
• On the periodic motions near a given periodic motion of a dynamical system
• Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
• Subharmonics for convex nonautonomous hamiltonian systems
• Solutions of minimal period for a class of nonconvex Hamiltonian systems and applications to the fixed energy problem
• On subharmonic solutions of hamiltonian systems
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• A p Borsuk-Ulam theorem and index theory with a multiplicity result in partial differential equations
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries

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