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Lepagean 2-forms in higher order Hamiltonian mechanics. I: Regularity. (English) Zbl 0637.58002

From the author’s summary: “The notion of the Lepagean equivalent of an Euler-Lagrange form is introduced. Applied to the higher order Hamiltonian mechanics, it enables one to reformulate the Hamilton theory for the whole set of equivalent Lagrangians. A generalization of the standard regularity condition is obtained and a general Legendre transformation is proposed and investigated.”
Reviewer: Yu.E.Gliklikh

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70H05 Hamilton’s equations
58E30 Variational principles in infinite-dimensional spaces
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