Abstract
After reviewing the Lagrangian-Hamiltonian unified formalism (i.e, the Skinner-Rusk formalism)for higher-order (non-autonomous) dynamical systems,we state a unified geometrical version of the Variational Principleswhich allows us to derive theLagrangian and Hamiltonian equations for these kinds of systems.Then, the standard Lagrangian and Hamiltonian formulations of these principles and the correspondingdynamical equations are recovered from this unified framework..
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