On the periodic solutions of Hamiltonian systems of second-order

DOI10.1007/BF02564839zbMath0618.58024OpenAlexW1976602873MaRDI QIDQ4727900

Shitao Deng

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf02564839

zbMATH Keywords

periodic solutionssolvabilityHamiltonian system of second order

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

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• Nonlinear oscillations and boundary value problems for Hamiltonian systems
• Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz
• Periodic solutions to Hamiltonian inclusions
• On Poincaré's perturbation theorem and a theorem of W. S. Loud
• Hamiltonian trajectories having prescribed minimal period
• Convex Analysis