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The inverse problem in the calculus of variations and the geometry of the tangent bundle. (English) Zbl 1211.58008


MSC:

58E30 Variational principles in infinite-dimensional spaces
49N45 Inverse problems in optimal control
70H30 Other variational principles in mechanics
70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics
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