Geodesic
On invariance of functionals and Euler--Lagrange equations corresponding to them
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2017), pp. 58-64.

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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. 
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V. M. Savchin; S. A. Budochkina. On invariance of functionals and Euler--Lagrange equations corresponding to them. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2017), pp. 58-64. http://geodesic.mathdoc.fr/item/IVM_2017_2_a5/

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