Calculus of variations in mean and convex Lagrangians

DOI10.1016/0022-247X(88)90025-XzbMath0655.49011OpenAlexW2074589731MaRDI QIDQ1109326

Joël Blot

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90025-x

zbMATH Keywords

almost periodic functionsHamiltonian systemsEuler-Lagrange equationLegendre condition

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Classical almost periodic functions, mean periodic functions (42A75) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Optimality conditions for free problems in one independent variable (49K05)

Related Items (14)

Bounded and almost periodic solutions of convex Lagrangian systems. ⋮ Existence and multiplicity of weak quasi-periodic solutions for second order Hamiltonian system ⋮ Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds ⋮ Bounded solutions and oscillations of concave Lagrangian systems in presence of a discount rate ⋮ Oscillations presque-périodiques forcées d'équations d'Euler-Lagrange ⋮ Dynamics in coupled oscillators with recurrent/random forcing, a PDE approach. ⋮ On almost periodicity of solutions of second-order differential equations involving reflection of the argument ⋮ Variational methods for almost periodic solutions of a class of neutral delay equations ⋮ Variational methods and almost periodic solutions of second order functional differential equations with infinite delay ⋮ Quasiperiodic forced oscillations of a solid body in the field of a quadratic potential ⋮ Calculus of variations in means and convex Lagrangians. III ⋮ Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds ⋮ Notion of weak variational solutions for almost periodic or more general problems ⋮ Calculus of variations in mean and convex Lagrangians, II

Cites Work

• Generalized Hamiltonian equations for convex problems of Lagrange
• Optimization and nonsmooth analysis
• Periodic solutions to differential inclusions
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