variational principles, symmetries, first integrals
Subject:
infinite-dimensional Bu-potential systems
Main publications:
Budochkina S.A., “O predstavlenii odnogo operatornogo uravneniya s pervoi proizvodnoi po vremeni v forme Bu-gamiltonova uravneniya”, Differentsialnye uravneniya, 49:2 (2013), 175–185
Budochkina S.A., Savchin V.M., “O beskonechnomernykh lagranzhevykh sistemakh s nepotentsialnymi silami”, Doklady Akademii nauk, 448:5 (2013), 518–519
Savchin V.M., Budochkina S.A., “Simmetrii i pervye integraly v mekhanike beskonechnomernykh sistem”, Doklady Akademii nauk, 425:2 (2009), 169–171
Budochkina S.A., Savchin V.M., “O Bu-gamiltonovykh uravneniyakh v mekhanike sistem s beskonechnym chislom stepenei svobody”, Doklady Akademii nauk, 439:4 (2011), 583–584
Savchin V.M., Budochkina S.A., “On indirect variational formulations for operator equations”, Journal of Function Spaces and Applications, 5:3 (2007), 231–242
S. A. Budochkina, T. H. Luu, V. A. Shokarev, “On indirect representability of fourth order ordinary differential equation in form of Hamilton–Ostrogradsky equations”, Ufimsk. Mat. Zh., 15:3 (2023), 121–131; Ufa Math. J., 15:3 (2023), 118–128
S. A. Budochkina, H. P. Vu, “On an indirect representation of evolutionary equations in the form of Birkhoff's equations”, Eurasian Math. J., 13:3 (2022), 23–32
Svetlana A. Budochkina, Ekaterina S. Dekhanova, “On the potentiality of a class of operators relative to local bilinear forms”, Ural Math. J., 7:1 (2021), 26–37
V. M. Savchin, S. A. Budochkina, “Lie-admissible algebras associated with dynamical systems”, Sibirsk. Mat. Zh., 60:3 (2019), 655–663; Siberian Math. J., 60:3 (2019), 508–515
V. M. Savchin, S. A. Budochkina, Yake Gondo, A. V. Slavko, “On the connection between first integrals, integral invariants and potentiality of evolutionary equations”, Eurasian Math. J., 9:4 (2018), 82–90
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
V. M. Filippov, V. M. Savchin, S. A. Budochkina, “On the existence of variational principles for differential–difference evolution equations”, Trudy Mat. Inst. Steklova, 283 (2013), 25–39; Proc. Steklov Inst. Math., 283 (2013), 20–34
V. M. Savchin, S. A. Budochkina, “On the Existence of a Variational Principle
for an Operator Equation with Second Derivative
with Respect to “Time””, Mat. Zametki, 80:1 (2006), 87–94; Math. Notes, 80:1 (2006), 83–90
V. M. Savchin, S. A. Budochkina, “On the Structure of a Variational Equation of Evolution Type with the Second $t$-Derivative”, Differ. Uravn., 39:1 (2003), 118–124; Differ. Equ., 39:1 (2003), 127–134
О симметриях уравнений и функционалов S. A. Budochkina VI International Conference "Function Spaces. Differential Operators. Problems of Mathematical Education", dedicated to the centennial anniversary of the corresponding member of Russian Academy of Sciences, academician of European Academy of Sciences L.D. Kudryavtsev November 18, 2023 17:15
3.
On symmetries and conservation laws for some differential equations S. A. Budochkina III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 11, 2023 15:35
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