Homogeneous differential equations and the inverse problem of the calculus of variations
Olga Rossi · Publicationes Mathematicae Debrecen · 2014
We study second order differential equations considering homogeneity of a general degree of the equations and of functions connected with them (like, for example, metrics or Lagrangians).Special attention is payed to semi-variational equations and to relationships between homogeneity properties and variationality (existence of local Lagrangians).