Periodic solutions with prescribed minimal period for the second order Hamiltonian systems with even potentials

DOI10.1007/S10114-009-8305-2zbMath1211.34051OpenAlexW2102619941MaRDI QIDQ1958711

Yu Ming Xiao

Publication date: 4 October 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-8305-2

zbMATH Keywords

periodic solutionsHamiltonian systemscritical pointsminimal period

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Variational principles in infinite-dimensional spaces (58E30)

Related Items (14)

Retraction note: ``Minimal period symmetric solutions for some Hamiltonian systems via the Nehari manifold method ⋮ Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems ⋮ Periodic solutions for second-order even and noneven Hamiltonian systems ⋮ A note on the minimal period problem for second order Hamiltonian systems ⋮ Symmetric period solutions with prescribed minimal period for even autonomous semipositive Hamiltonian systems ⋮ Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems ⋮ Periodic solutions of second order difference systems with even potential ⋮ Sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients ⋮ Periodic solutions with prescribed minimal period to Hamiltonian systems ⋮ Periodic solutions with prescribed minimal period for second order even Hamiltonian systems ⋮ Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities ⋮ On the existence of minimal periodic solutions for a class of second-order Hamiltonian systems ⋮ The Rabinowitz minimal periodic solution conjecture ⋮ Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems

Cites Work

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• Solutions of minimal period for a class of convex Hamiltonian systems
• Critical point theory and Hamiltonian systems
• The minimal period problem of classical Hamiltonian systems with even potentials
• The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems
• On the minimal period for the periodic solutions problem of nonlinear Hamiltonian systems

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