Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds

DOI10.1007/s11253-015-1031-2zbMath1376.37109OpenAlexW1165814737WikidataQ115380366 ScholiaQ115380366MaRDI QIDQ317601

I. O. Parasyuk

Publication date: 4 October 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1031-2

zbMATH Keywords

Lagrangian systemaveraged Lagrangian

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Variational principles in infinite-dimensional spaces (58E30) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items

Quasiperiodic forced oscillations of a solid body in the field of a quadratic potential, Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds

Cites Work

• Variational approach to quasi-periodic solution of nonautonomous second-order Hamiltonian systems
• Calculus of variations in means and convex Lagrangians. III
• The imbedding problem for Riemannian manifolds
• Variational methods for almost periodic solutions of a class of neutral delay equations
• Calculus of variations in mean and convex Lagrangians
• On some types of functional spaces. A contribution to the theory of almost periodic functions
• Existence theorem for weak quasiperiodic solutions of Lagrangian systems on Riemannian manifolds
• Calculus of variations in mean and convex Lagrangians, II
• Spaces of quasi-periodic functions and oscillations in differential equations
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