Broken solutions of homogeneous variational problems

DOI10.1016/0022-0396(84)90090-1zbMath0507.58022OpenAlexW2111595730MaRDI QIDQ1837452

Fopke Klok

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90090-1

zbMATH Keywords

broken solutiondiscontinuous Hamiltonian vectorfieldnon-convex Lagrangian

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

On piecewise smooth vector fields tangent to nested tori ⋮ Conditions nécessaires et suffisantes d'existence de solutions en calcul des variations. (Necessary and sufficient conditions for the existence of solutions in the calculus of variations) ⋮ Champs Hamiltoniens, relaxation et existence de solutions en calcul des variations. (Hamiltonian fields, relaxation and existence of solutions in the calculus of variations) ⋮ Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications ⋮ Singularities of the Hamiltonian vectorfield in nonautonomous variational problems. ⋮ Singularities of the Hamiltonian vector field in optimal control problems ⋮ Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals ⋮ On nonexistence of minimizing solutions of variational problems

Cites Work

• Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
• Ω-Stability of plane vector fields
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