The geometric formulation of the Hamilton-Jacobi theory enables u
s to generalize it to
systems of higher-order ordinary differential equations. In this w
ork we introduce the unified
Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacob
i theory on higher-order
autonomous dynamical systems described by regular Lagrangian f
CitacióColombo, L. [et al.]. "Unified formalism for the generalized kth-order Hamilton-Jacobi problem". 2013.