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. 
@article{IVM_2017_2_a5,
     author = {V. M. Savchin and S. A. Budochkina},
     title = {On invariance of functionals and {Euler--Lagrange} equations corresponding to them},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {58--64},
     publisher = {mathdoc},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2017_2_a5/}
}
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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/