The second order lagrangians-regularity problem

@inproceedings{27502,
   author = {Smetanová, Dana},
   address = {Bratislava},
   booktitle = {14th Conference on Applied Mathematics, APLIMAT 2015},
   edition = {1. vyd.},
   keywords = {Dedecker-Hamilton extremals; Hamilton equations; Hamilton extremals; Lagrangian},
   howpublished = {paměťový nosič},
   language = {eng},
   location = {Bratislava},
   isbn = {978-80-227-4314-3},
   pages = {690-697},
   publisher = {STU Bratislava},
   title = {The second order lagrangians-regularity problem},
   year = {2015}
}

TY  - JOUR
ID  - 27502
AU  - Smetanová, Dana
PY  - 2015
TI  - The second order lagrangians-regularity problem
PB  - STU Bratislava
CY  - Bratislava
SN  - 9788022743143
KW  - Dedecker-Hamilton extremals
KW  - Hamilton equations
KW  - Hamilton extremals
KW  - Lagrangian
N2  - The aim of the paper is to apply some recent results on regularization of Lagrangians to the case of second order Lagrangians corresponding to 3rd order Euler-Lagrange equations. The case of the second order Lagrangians afinne and non-affine in second derivatives is studied. Its related 3rd order Hamiltonian systems and geometrical correspondence between solutions of Hamilton and Euler-Lagrange equations are found. Lepagean equivalents, Poincaré-Cartan form, regular and strongly regular systems.
ER  - 

SMETANOVÁ, Dana. The second order lagrangians-regularity problem. In \textit{14th Conference on Applied Mathematics, APLIMAT 2015}. 1. vyd. Bratislava: STU Bratislava. p.~690-697. ISBN~978-80-227-4314-3. 2015.