Zobrazeno 1 - 10
of 70
pro vyhledávání: '"V. M. Savchin"'
Autor:
V. M. Savchin, P. T. Trinh
Publikováno v:
Vestnik of Samara University. Natural Science Series. 27:74-82
The main purpose of this work is to study the potentiality of a discrete system obtained from the system of the form C(t, u)u_ (t)+E(t, u) = 0 with continuous time. The definition of potentiality of the corresponding discrete system is introduced. Ne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e619bdb1ecdc01ed369d13dc737e827
https://doi.org/10.18287/2541-7525-2021-27-3-74-82
https://doi.org/10.18287/2541-7525-2021-27-3-74-82
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
Publikováno v:
Journal of Function Spaces and Applications, Vol 5, Iss 1, Pp 89-101 (2007)
Necessary and sufficient conditions for the existence of integral variational principles for boundary value problems for given ordinary and partial functional differential equations are obtained. Examples are given illustrating the results.
Externí odkaz:
https://doaj.org/article/0f42fca3e5df43ff8cb56f840b29f52b
Autor:
I. A. Kolesnikova, V. M. Savchin
Publikováno v:
Journal of Function Spaces and Applications, Vol 2012 (2012)
Necessary and sufficient conditions for the existence of variational principles for a given wide class of evolutionary differential-difference operator equation are obtained. The theoretic results are illustrated by two examples.
Externí odkaz:
https://doaj.org/article/47f158ac77e640068183a36df124b869
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
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.
Externí odkaz:
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.
Externí odkaz:
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, V. M. Savchin
Publikováno v:
Communications in Computer and Information Science ISBN: 9783319519166
The use of variational methods for the construction of sufficiently accurate approximate solutions of a given system requires the existence of the corresponding variational principle - a solution of the inverse problems of the calculus of variations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b806163ad6dc859942a43b2da499e67
https://doi.org/10.1007/978-3-319-51917-3_53
https://doi.org/10.1007/978-3-319-51917-3_53
