Solutions with minimal period for non-autonomous second-order Hamiltonian systems

DOI10.1016/J.AML.2018.05.025zbMath1402.49006OpenAlexW2806297652WikidataQ129737863 ScholiaQ129737863MaRDI QIDQ1992217

Yanyan Li

Publication date: 2 November 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.05.025

zbMATH Keywords

critical pointsleast action principlesecond-order Hamiltonian systemsminimal period

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Subharmonic solutions with prescribed minimal period of a class of nonautonomous Hamiltonian systems
• Periodic solutions of Lagrangian systems with bounded potential
• Critical point theory and Hamiltonian systems
• The minimal period problem of periodic solutions for autonomous superquadratic second order Hamiltonian systems
• Multiplicity solutions for a class of fractional Hamiltonian systems with concave-convex potentials
• On the periodic motions near a given periodic motion of a dynamical system
• Periodic solutions of non-autonomous second order systems
• Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems
• Subharmonics for convex nonautonomous hamiltonian systems
• Lagrangian Systems in the Presence of Singularities
• On subharmonic solutions of hamiltonian systems
• A multiplicity result for periodic solutions of autonomous conservative systems
• Remarks on subharmonics with minimal periods on Hamiltonian systems
• Periodic solutions of hamiltonian systems
• Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials
• Subharmonic oscillations with prescribed minimal period for a class of hamiltonian systems

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