Zobrazeno 1 - 10
of 21
pro vyhledávání: '"S. A. Budochkina"'
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 67:596-608
By a bi-variational system we mean any system of equations generated by two different Hamiltonian actions. A connection between their variational symmetries is established. The effective use of the nonclassical Hamiltonian actions for the constructio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4796f3acffec63b2bdd1b931f833a859
https://doi.org/10.22363/2413-3639-2021-67-3-596-608
https://doi.org/10.22363/2413-3639-2021-67-3-596-608
Autor:
S. A. Budochkina, T. H. Luu
Publikováno v:
Lobachevskii Journal of Mathematics. 42:3594-3605
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7b79a39b98b6effa91e1ea2d12e75be
https://doi.org/10.1134/s1995080222030052
https://doi.org/10.1134/s1995080222030052
Autor:
S. A. Budochkina
Publikováno v:
Ufimskii Matematicheskii Zhurnal. 13:46-55
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b972c160c126b86cd8d5d3796b53cf80
https://doi.org/10.13108/2021-13-1-46
https://doi.org/10.13108/2021-13-1-46
Publikováno v:
Eurasian Mathematical Journal. 9:82-90
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::344970d8634698ec03866f85a52484aa
https://doi.org/10.32523/2077-9879-2018-9-4-82-90
https://doi.org/10.32523/2077-9879-2018-9-4-82-90
Publikováno v:
Ural Mathematical Journal, Vol 7, Iss 1 (2021)
The inverse problem of the calculus of variations (IPCV) is solved for a second-order ordinary differential equation with the use of a local bilinear form. We apply methods of analytical dynamics, nonlinear functional analysis, and modern methods for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98d7442268b557c79c01020314b3ecba
https://doi.org/10.15826/umj.2021.1.003
https://doi.org/10.15826/umj.2021.1.003
Autor:
V. M. Savchin, S. A. Budochkina
Publikováno v:
Sibirskii matematicheskii zhurnal. 60:655-663
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiable operators and establish their connection with the symmetries of operator equations and the mechanics of infinite-dimensional systems.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd6ce52d60b9e0be79ba2a6465caebf9
https://doi.org/10.33048/smzh.2019.60.313
https://doi.org/10.33048/smzh.2019.60.313
Autor:
S. A. Budochkina, V. M. Savchin
Publikováno v:
Russian Mathematics. 61:49-54
We establish a connection between symmetries of functionals and symmetries of the corresponding Euler–Lagrange equations. A similar problem is investigated for equations with quasi-Bu-potential operators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0d78a2df50bb7a8d81ffd4e179279aa6
https://doi.org/10.3103/s1066369x17020062
https://doi.org/10.3103/s1066369x17020062
Autor:
S. A. Budochkina, V. M. Savchin
Publikováno v:
Doklady Mathematics. 94:487-489
An operator equation with the second time derivative is represented in the form of a Hamiltonianadmissible equation. A relationship between solutions of Hamiltonian-admissible equations and the corresponding Hamiltonian equations is established.
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https://explore.openaire.eu/search/publication?articleId=doi_________::a8ebdc75fa3ac505e18adcbd9acee827
https://doi.org/10.1134/s106456241605001x
https://doi.org/10.1134/s106456241605001x
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 283:20-34
The problem of existence of variational principles for wide classes of generally nonlinear differential-difference equations with nonpotential operators is investigated.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bcd6966e040dedde9c59cca04a481d5
https://doi.org/10.1134/s0081543813080038
https://doi.org/10.1134/s0081543813080038
Autor:
S. A. Budochkina
Publikováno v:
Differential Equations. 49:176-186
We obtain necessary and sufficient conditions for the representability of an evolution operator equation with the first derivative with respect to time in the form of a B u -Hamiltonian equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd72e0f73516203ff07c7cc6effb371f
https://doi.org/10.1134/s0012266113020043
https://doi.org/10.1134/s0012266113020043