Homogeneous differential equations and the inverse problem of the calculus of variations
2014 (English)In: Publicationes mathematicae (Debrecen), ISSN 0033-3883, E-ISSN 2064-2849, Vol. 84, no 1-2, 165-188 p.Article in journal (Refereed) Published
We study second order differential equations considering positive 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.
Place, publisher, year, edition, pages
2014. Vol. 84, no 1-2, 165-188 p.
positively homogeneous functions of degree c, positively homogeneous equations of degree c, semi-variational equations, variational equations, Helmholtz conditions
IdentifiersURN: urn:nbn:se:su:diva-103996ISI: 000334901500012OAI: oai:DiVA.org:su-103996DiVA: diva2:720878