An abstract theorem on the existence of periodic motions of non-autonomous Lagrange systems

DOI10.1016/j.jde.2016.08.010zbMath1409.70013OpenAlexW2514357769MaRDI QIDQ324583

Qihuai Liu, Xia Li, Qian, Dingbian

Publication date: 17 October 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.08.010

zbMATH Keywords

periodic solutionaction potentialLagrange systemminimal curve

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Variational principles of physics (49S05) Lagrange's equations (70H03) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items

Orbital dynamics on invariant sets of contact Hamiltonian systems, Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior, Periodic dynamics of a class of non-autonomous contact Hamiltonian systems, Numerical algorithms of the discrete coupled algebraic Riccati equation arising in optimal control systems

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