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Homogeneous differential equations and the inverse problem of the calculus of variations
Stockholms universitet, Naturvetenskapliga fakulteten, Matematiska institutionen. University of Ostrava, Czech Republic; La Trobe University, Australia.
2014 (engelsk)Inngår i: Publicationes mathematicae (Debrecen), ISSN 0033-3883, E-ISSN 2064-2849, Vol. 84, nr 1-2, s. 165-188Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
2014. Vol. 84, nr 1-2, s. 165-188
Emneord [en]
positively homogeneous functions of degree c, positively homogeneous equations of degree c, semi-variational equations, variational equations, Helmholtz conditions
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Identifikatorer
URN: urn:nbn:se:su:diva-103996DOI: 10.5486/pmd.2014.5990ISI: 000334901500012OAI: oai:DiVA.org:su-103996DiVA, id: diva2:720878
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AuthorCount:1;

Tilgjengelig fra: 2014-06-02 Laget: 2014-05-27 Sist oppdatert: 2018-05-15bibliografisk kontrollert

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