Krupková, Olga Lepagean 2-forms in higher order Hamiltonian mechanics. I: Regularity. (English) Zbl 0637.58002 Arch. Math., Brno 22, 97-120 (1986). 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 Cited in 16 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 70H05 Hamilton’s equations 58E30 Variational principles in infinite-dimensional spaces Keywords:Lepagean form; locally variational form; Euler-Lagrange form; Hamiltonian mechanics; Legendre transformation PDF BibTeX XML Cite \textit{O. Krupková}, Arch. Math., Brno 22, 97--120 (1986; Zbl 0637.58002) Full Text: EuDML OpenURL