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Savchin, Vladimir Mikhailovich
Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 18
Presentations: 3

Number of views:
This page:3455
Abstract pages:7718
Full texts:3779
References:718
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person19962
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/259976
https://elibrary.ru/author_items.asp?authorid=14052
https://orcid.org/0000-0003-3850-6747

Publications in Math-Net.Ru Citations
2024
1. V. M. Savchin, “To geometric aspects of infinite-dimensional dynamical systems”, CMFD, 70:1 (2024),  163–172  mathnet
2. V. M. Savchin, P. T. Trinh, “On potentiality, discretization, and integral invariants of the infinite-dimensional Birkhoff systems”, Izv. Saratov Univ. Math. Mech. Inform., 24:2 (2024),  184–192  mathnet
2022
3. V. M. Savchin, Ph. T. Trinh, “Variational approach to the construction of discrete mathematical model of the pendulum motion with vibrating suspension with friction”, Izvestiya VUZ. Applied Nonlinear Dynamics, 30:4 (2022),  411–423  mathnet
2021
4. V. M. Filippov, V. M. Savchin, S. A. Budochkina, “Bi-variationality, symmetries and approximate solutions”, CMFD, 67:3 (2021),  596–608  mathnet
5. V. M. Savchin, P. T. Trinh, “On discrete systems with potential operators”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:3 (2021),  74–82  mathnet
2020
6. V. M. Savchin, P. T. Trinh, “Nonpotentiality of Sobolev system and construction of semibounded functional”, Ufimsk. Mat. Zh., 12:2 (2020),  107–117  mathnet; Ufa Math. J., 12:2 (2020), 108–118  isi
2019
7. V. M. Savchin, S. A. Budochkina, “Lie-admissible algebras associated with dynamical systems”, Sibirsk. Mat. Zh., 60:3 (2019),  655–663  mathnet  elib; Siberian Math. J., 60:3 (2019), 508–515  isi  scopus 1
2018
8. 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  mathnet  isi  scopus 1
2017
9. 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  mathnet; Russian Math. (Iz. VUZ), 61:2 (2017), 49–54  isi  scopus 14
2013
10. 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 283 (2013), 20–34  isi 5
2012
11. S. A. Budochkina, V. M. Savchin, “On direct variational formulations for second order evolutionary equations”, Eurasian Math. J., 3:4 (2012),  23–34  mathnet  mathscinet  zmath 5
2006
12. 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  mathnet  mathscinet  zmath  elib; Math. Notes, 80:1 (2006), 83–90  isi  scopus 9
2003
13. 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  mathnet  mathscinet; Differ. Equ., 39:1 (2003), 127–134 9
1994
14. V. M. Savchin, “Construction of a semibounded functional for a boundary value problem for nonlinear nonstationary Navier–Stokes equations”, Differ. Uravn., 30:1 (1994),  162–168  mathnet  mathscinet; Differ. Equ., 30:1 (1994), 149–155 1
15. V. M. Savchin, “On the structure of a lie-admissible algebra in the space of Gâteaux differentiable operators”, Mat. Zametki, 55:1 (1994),  152–153  mathnet  mathscinet  zmath; Math. Notes, 55:1 (1994), 103–104  isi 2
1993
16. V. M. Savchin, “On the structure of variational equations with symmetric operator $d/dt$”, Differ. Uravn., 29:10 (1993),  1765–1771  mathnet  mathscinet; Differ. Equ., 29:10 (1993), 1532–1537
17. V. M. Savchin, “A criterion for the existence of generalized integral variational principles for given equations”, Differ. Uravn., 29:8 (1993),  1425–1432  mathnet  mathscinet; Differ. Equ., 29:8 (1993), 1235–1241
1992
18. V. M. Filippov, V. M. Savchin, S. G. Shorokhov, “Variational principles for nonpotential operators”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 40 (1992),  3–176  mathnet  mathscinet  zmath; J. Math. Sci., 68:3 (1994), 275–398 42
2021
19. A. I. Aptekarev, D. E. Apushkinskaya, O. V. Besov, V. I. Burenkov, V. V. Vlasov, R. V. Gamkrelidze, M. L. Gol'dman, G. V. Demidenko, V. G. Zadorozhniy, V. V. Kozlov, G. G. Lazareva, S. P. Novikov, V. M. Savchin, V. A. Sadovnichii, A. L. Skubachevskii, A. P. Soldatov, D. V. Treschev, M. A. Ragusa, H.-O. Walther, “Vladimir Mikhailovich Filippov”, CMFD, 67:3 (2021),  423–426  mathnet 1
2001
20. I. A. Gerasimov, E. A. Grebenikov, O. V. Druzhinina, V. A. Il'in, V. V. Kozlov, V. M. Matrosov, R. G. Mukharlyamov, V. M. Savchin, A. A. Samarskii, V. N. Tkhai, A. A. Shestakov, V. N. Shchennikov, “Valentin Vital'evich Rumyantsev (A tribute in honor of his 80th birthday)”, Differ. Uravn., 37:12 (2001),  1587–1592  mathnet  mathscinet; Differ. Equ., 37:12 (2001), 1665–1669
2000
21. V. G. Veretennikov, I. A. Mukhametzyanov, R. G. Mukharlyamov, V. V. Rumyantsev, V. M. Savchin, V. M. Filippov, A. A. Shestakov, “Abdel’khak Safiullovich Galiullin”, Differ. Uravn., 36:3 (2000),  427–428  mathnet  mathscinet; Differ. Equ., 36:3 (2000), 483–484
1990
22. N. P. Erugin, V. G. Demin, R. G. Mukharlyamov, V. G. Veretennikov, A. A. Shestakov, V. M. Savchin, “Abdel'khak Safiullovich Galiullin (on the occasion of his 70th birthday)”, Differ. Uravn., 26:2 (1990),  361–362  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Geometric aspects in problems of dynamics of infinite-dimensional systems
V. M. Savchin
International scientific conference “Infinite-dimensional analysis and mathematical physics” (IDAMPh 2025)
January 30, 2025 10:30   
2. Îá èíòåãðàëüíûõ èíâàðèàíòàõ íåêîòîðûõ áåñêîíå÷íîìåðíûõ ñèñòåì
V. M. Savchin
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 16:05   
3. Îá èíòåãðàëüíûõ èíâàðèàíòàõ óðàâíåíèé Áèðêãîôà äëÿ áåñêîíå÷íîìåðíûõ ñèñòåì . (On integral invariants of Birkhoff equations for infinite-dimensional systems)
V. M. Savchin, Ph. T. Trinh
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 15:00

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