Singularities of the Hamiltonian vectorfield in nonautonomous variational problems.

DOI10.1016/S0022-247X(03)00303-2zbMath1137.37326MaRDI QIDQ1405313

Helena Mena-Matos

Publication date: 25 August 2003

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

Mathematics Subject Classification ID

Hamilton's equations (70H05) Existence theories for free problems in two or more independent variables (49J10) Singularities of vector fields, topological aspects (58K45) Other variational principles in mechanics (70H30)

Cites Work

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• Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
• Stability of unfoldings in space and time
• Broken solutions of homogeneous variational problems
• Geometric Theory of Extremals in Optimal Control Problems: I. The Fold and Maxwell Case
• Singularities of the Hamiltonian vector field in optimal control problems

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