The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.
@article{urn:eudml:doc:38639, title = {Higher-order differential equations represented by connections on prolongations of a fibered manifold.}, journal = {Extracta Mathematicae}, volume = {15}, year = {2000}, pages = {421-512}, zbl = {0992.34006}, mrnumber = {MR1825970}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38639} }
Vondra, Alexandr. Higher-order differential equations represented by connections on prolongations of a fibered manifold.. Extracta Mathematicae, Tome 15 (2000) pp. 421-512. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38639/