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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 2, Pages 58–64 (Mi ivm9208)  
This article is cited in 14 scientific papers (total in 14 papers)

On invariance of functionals and Euler–Lagrange equations corresponding to them

V. M. Savchin, S. A. Budochkina

Peoples' Friendship University of Russia, 6 Miklukho-Maklaya str., Moscow, 117198 Russia
Full-text PDF (169 kB) Citations (14)
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Abstract: We establish a connection between symmetries of functionals and the corresponding Euler–Lagrange equations. The same problem is investigated for equations with quasi-$B_u$-potential operators.
Keywords: Hamiltonian action, invariance, symmetry, Lie algebra.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.a03.21.0008
Received: 04.09.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 2, Pages 49–54
DOI: https://doi.org/10.3103/S1066369X17020062
Bibliographic databases:
Document Type: Article
UDC: 517.957
Language: Russian
Citation: V. M. Savchin, S. A. Budochkina, “On invariance of functionals and Euler–Lagrange equations corresponding to them”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 2, 58–64; Russian Math. (Iz. VUZ), 61:2 (2017), 49–54
Citation in format AMSBIB
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\issue 2
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:54
    First page:14
     
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