VALER NIMINEŢ, OTILIA LUNGU "Vasile Alecsandri" University of Bacău, Faculty of Sciences, Department of Mathematics and Informatics, Calea Mărăşeşti 157, Bacău 600115, ROMANIA, email: valern@ub.ro; olungu@ub.ro
A mechanical system Q generated by a Lagrangian L(t, x, x' ) is considered, whose the evolution equations is described by the Euler-Lagrange equations (2.1.). The geometry of the dynamical system determined by Q is the geometry of a semispray whose integral curves are the evolution equations of Q. The theory is extended to Lagrangians of higher order.
