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pro vyhledávání: '"Zbynek Urban"'
Autor:
Jana Volná, Zbynek Urban
Publikováno v:
Mathematics; Volume 10; Issue 8; Pages: 1211
A second-order generalization of the fundamental Lepage form of geometric calculus of variations over fibered manifolds with 2-dimensional base is described by means of insisting on (i) an equivalence relation "Lepage differential 2-form is closed if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be7a7d04015048b0147246787ad78a22
http://arxiv.org/abs/2204.01663
http://arxiv.org/abs/2204.01663
Autor:
Demeter Krupka, Zbynek Urban
Publikováno v:
Publicationes Mathematicae Debrecen. 83:71-84
Variationality of systems of second order ordinary differential equations is studied within the class of positive homogeneous systems. The concept of a higher order positive homogeneous function, related to Finsler geometry, is represented by the wel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04bc8aa6a3a396befcaf10b04d9b51ca
https://doi.org/10.5486/pmd.2013.5500
https://doi.org/10.5486/pmd.2013.5500
Autor:
Demeter Krupka, Zbynek Urban
Publikováno v:
Publicationes Mathematicae Debrecen. 82:59-76
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5dcc1d538564756300abb294788e6d7
https://doi.org/10.5486/pmd.2013.5265
https://doi.org/10.5486/pmd.2013.5265
Autor:
Zbyněk Urban, Jana Volná
Publikováno v:
Mathematics, Vol 10, Iss 8, p 1211 (2022)
A second-order generalization of the fundamental Lepage form of geometric calculus of variations over fibered manifolds with 2-dimensional base is described by means of insisting on (i) an equivalence relation “Lepage differential 2-form is closed
Externí odkaz:
https://doaj.org/article/91e022a3cb2a496594cd8dcab0277469
Autor:
Zbyněk Urban, Jana Volná
Publikováno v:
Symmetry, Vol 13, Iss 5, p 800 (2021)
The Carathéodory form of the calculus of variations belongs to the class of Lepage equivalents of first-order Lagrangians in field theory. Here, this equivalent is generalized for second- and higher-order Lagrangians by means of intrinsic geometric
Externí odkaz:
https://doaj.org/article/a94a2af625fe4077a79cfc56fea1312d