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@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, 2015, s.~690-697. ISBN~978-80-227-4314-3.
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