Calculus of variations in mean and convex Lagrangians, II

DOI10.1017/S0004972700017524zbMath0679.49022OpenAlexW2097554283MaRDI QIDQ4728899

Joël Blot

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700017524

zbMATH Keywords

periodic solutionEuler-Lagrange equationalmost periodic solutionsLegendre necessary conditions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Existence theories for free problems in two or more independent variables (49J10) Classical almost periodic functions, mean periodic functions (42A75) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Optimality conditions for free problems in one independent variable (49K05)

Related Items (9)

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 ⋮ 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 ⋮ Notion of weak variational solutions for almost periodic or more general problems ⋮ Optimal control of almost-periodic motions

Cites Work

• Calculus of variations in mean and convex Lagrangians
• A survey of the theory of spectral operators

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