On generating forms of <i>K</i>-generalized Lagrangian and Hamiltonian systems
On generating forms of <i>K</i>-generalized Lagrangian and Hamiltonian systems
From a (n+1) -form Ω on the manifold JkM of k-jets of local sections of the vector bundle (M,π,N) we study the conditions to obtain the Lagrangian and Hamiltonian formalisms for a theory which involves higher order derivatives. The results generalize those of Gallissot and others for k=1.