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Tunitsky, Dmitry Vasilievich

Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 29
Presentations: 11

Number of views:
This page:3664
Abstract pages:9100
Full texts:3117
References:1308
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords: Partial Differential Equations, Differential Geometry Structures, Statistical Methods of Machine Learning Difference Approximations.

https://www.mathnet.ru/eng/person8384
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/246048
https://elibrary.ru/author_items.asp?spin=2783-0480

Publications in Math-Net.Ru Citations
2024
1. D. V. Tunitsky, “On optimal control of harvesting of a renewable resource distributed on the Earth surface”, Avtomat. i Telemekh., 2024, no. 7,  42–60  mathnet
2. A. A. Davydov, A. S. Platov, D. V. Tunitsky, “Existence of an optimal stationary solution in the KPP model under nonlocal competition”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  113–121  mathnet  elib
2023
3. E. V. Vinnikov, A. A. Davydov, D. V. Tunitsky, “Existence of maximum of time averaged harvesting in the KPP-model on sphere with permanent and impulse collection”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023),  59–64  mathnet  elib; Dokl. Math., 108:3 (2023), 472–476 4
4. D. V. Tunitsky, “On stabilization of solutions of second-order semilinear parabolic equations on closed manifolds”, Izv. RAN. Ser. Mat., 87:4 (2023),  186–204  mathnet  mathscinet  zmath; Izv. Math., 87:4 (2023), 817–834  isi  scopus 4
5. D. V. Tunitsky, “On the Quasilinearizability of Hyperbolic Monge–Ampère Systems”, Trudy Mat. Inst. Steklova, 321 (2023),  286–291  mathnet  mathscinet; Proc. Steklov Inst. Math., 321 (2023), 269–275  scopus 1
2022
6. D. V. Tunitsky, “On solvability of semilinear second-order elliptic equations on closed manifolds”, Izv. RAN. Ser. Mat., 86:5 (2022),  97–115  mathnet  mathscinet  zmath; Izv. Math., 86:5 (2022), 925–942  isi  scopus 6
2020
7. D. V. Tunitsky, “Multivalued solutions of hyperbolic Monge-Ampère equations: solvability, integrability, approximation”, Mat. Sb., 211:3 (2020),  71–123  mathnet  mathscinet  zmath  elib; Sb. Math., 211:3 (2020), 373–421  isi  scopus
8. I. A. Bogaevsky, D. V. Tunitsky, “Singularities of Multivalued Solutions of Quasilinear Hyperbolic Systems”, Trudy Mat. Inst. Steklova, 308 (2020),  76–87  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 308 (2020), 67–78  isi  scopus 7
2018
9. D. V. Tunitsky, “On the global solubility of the Cauchy problem for hyperbolic Monge–Ampére systems”, Izv. RAN. Ser. Mat., 82:5 (2018),  167–226  mathnet  mathscinet  zmath  elib; Izv. Math., 82:5 (2018), 1019–1075  isi  scopus 5
2016
10. D. V. Tunitsky, “On diagonalization of quasilinear systems with control parameters”, Avtomat. i Telemekh., 2016, no. 6,  22–37  mathnet  elib; Autom. Remote Control, 77:6 (2016), 959–971  isi  elib  scopus
2015
11. D. V. Tunitsky, “Decoupling systems of hydrodynamic type into subsystems with block-triangular interaction”, Izv. RAN. Ser. Mat., 79:6 (2015),  171–205  mathnet  mathscinet  zmath  elib; Izv. Math., 79:6 (2015), 1260–1293  isi  scopus
2013
12. D. V. Tunitsky, “Reducing quasilinear systems to block triangular form”, Mat. Sb., 204:3 (2013),  135–160  mathnet  mathscinet  zmath  elib; Sb. Math., 204:3 (2013), 438–462  isi  scopus 3
2009
13. D. V. Tunitsky, “Monge–Ampère equations and tensorial functors”, Izv. RAN. Ser. Mat., 73:6 (2009),  145–194  mathnet  mathscinet  zmath  elib; Izv. Math., 73:6 (2009), 1217–1263  isi  elib  scopus
14. D. V. Tunitsky, “On some categories of Monge-Ampère systems of equations”, Mat. Sb., 200:11 (2009),  109–144  mathnet  mathscinet  zmath  elib; Sb. Math., 200:11 (2009), 1681–1714  isi  elib  scopus 4
2008
15. K. V. Mal'kov, D. V. Tunitskii, “On one extremal problem of adaptive machine learning for detection of anomalies”, Avtomat. i Telemekh., 2008, no. 6,  41–52  mathnet  mathscinet  zmath; Autom. Remote Control, 69:6 (2008), 942–952  isi  scopus 1
2006
16. D. V. Tunitsky, “Hyperbolic Monge–Ampère systems”, Mat. Sb., 197:8 (2006),  119–158  mathnet  mathscinet  zmath  elib; Sb. Math., 197:8 (2006), 1223–1258  isi  elib  scopus 4
17. A. A. Goncharsky, D. V. Tunitsky, “The inverse problem of synthesis of optical elements for laser radiation”, Num. Meth. Prog., 7:1 (2006),  138–162  mathnet
2001
18. D. V. Tunitsky, “Monge–Ampére equations and characteristic connection functors”, Izv. RAN. Ser. Mat., 65:6 (2001),  173–222  mathnet  mathscinet  zmath; Izv. Math., 65:6 (2001), 1243–1290  scopus 2
1999
19. D. V. Tunitsky, “on contact equivalence of holomorphic Monge–Ampère equations”, Lobachevskii J. Math., 4 (1999),  163–175  mathnet  mathscinet  zmath
1997
20. D. V. Tunitsky, “On the global solubility of the Monge–Ampere hyperbolic equations”, Izv. RAN. Ser. Mat., 61:5 (1997),  177–224  mathnet  mathscinet  zmath; Izv. Math., 61:5 (1997), 1069–1111  isi  scopus 8
21. D. V. Tunitsky, “Equivalence and characteristic connections of the Monge–Ampere equations”, Mat. Sb., 188:5 (1997),  131–157  mathnet  mathscinet  zmath; Sb. Math., 188:5 (1997), 771–797  isi  scopus 3
1996
22. D. V. Tunitsky, “On the Levi condition for Monge–Ampère equations”, Differ. Uravn., 32:8 (1996),  1078–1088  mathnet  mathscinet; Differ. Equ., 32:8 (1996), 1083–1092
23. D. V. Tunitsky, “On the contact linearization of Monge–Ampere equations”, Izv. RAN. Ser. Mat., 60:2 (1996),  195–220  mathnet  mathscinet  zmath; Izv. Math., 60:2 (1996), 425–451  isi  scopus 20
1993
24. D. V. Tunitsky, “Multivalued solutions of hyperbolic Monge–Ampère equations”, Differ. Uravn., 29:12 (1993),  2178–2189  mathnet  mathscinet; Differ. Equ., 29:12 (1993), 1905–1916 2
25. D. V. Tunitsky, “The Cauchy problem for hyperbolic Monge–Ampère equations”, Izv. RAN. Ser. Mat., 57:4 (1993),  174–191  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 43:1 (1994), 161–178  isi 3
1992
26. D. V. Tunitsky, “The Cauchy problem for a hyperbolic Monge–Ampére equation”, Mat. Zametki, 51:6 (1992),  80–90  mathnet  mathscinet; Math. Notes, 51:6 (1992), 582–589  isi 7
27. D. V. Tunitsky, “Regular isometric immersion in the large of two-dimensional metrics of nonpositive curvature”, Mat. Sb., 183:7 (1992),  65–80  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 76:2 (1993), 317–329  isi
1991
28. D. V. Tunitsky, “Nonlinear hyperbolic systems with two independent variables”, Differ. Uravn., 27:1 (1991),  147–155  mathnet  mathscinet; Differ. Equ., 27:1 (1991), 118–124
1987
29. D. V. Tunitsky, “On the regular isometric immersion in $E^3$ of unbounded domains of negative curvature”, Mat. Sb. (N.S.), 134(176):1(9) (1987),  119–134  mathnet  mathscinet  zmath; Math. USSR-Sb., 62:1 (1989), 121–138 5

Presentations in Math-Net.Ru
1. Динамика распределенных систем на многообразиях: стабилизация и оптимизация
A. A. Davydov, D. V. Tunitsky
Conference dedicated to 70th anniversary of A. L. Skubachevsky
December 13, 2023 17:15   
2. Дифференциально-геометрические аспекты метода характеристик
D. V. Tunitsky
Dynamical systems and differential equations
April 15, 2019 18:30
3. On singularities of the polytropic flow of a compressible gas
D. V. Tunitsky
Cohomological geometry of differential equations
October 31, 2018 19:20
4. Точные и приближенные решения квазилинейного волнового уравнения
D. V. Tunitsky
Differential geometry and applications
May 7, 2018 16:45
5. Разделение систем гидродинамического типа на блочно-треугольно взаимодействующие подсистемы
D. V. Tunitsky
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
March 18, 2015 18:30
6. О глобальной разрешимости задачи Коши для гиперболических уравнений Монжа-Ампера
D. V. Tunitsky
Differential geometry and applications
September 29, 2014 16:45
7. On partition of systems of hydrodynamical type into block-triangular interacting subsystems
D. V. Tunitsky
Differential geometry and applications
December 10, 2012 16:45
8. О многозначных решениях нелинейных гиперболических уравнений второго порядка с двумя независимыми переменными
D. V. Tunitsky
Hamiltonian systems and statistical mechanics
November 12, 2012
9. Multivalued solutions of non-linear hyperbolic equations of the second order with two independent variables
D. V. Tunitsky
Differential geometry and applications
February 13, 2012 16:45
10. On reduction of quasi-linear systems to a block-diagonal form
D. V. Tunitsky
Differential geometry and applications
October 10, 2011 16:45
11. О приводимости строго гиперболических квазилинейных систем к инвариантам Римана и его приложении к газовой динамике
D. V. Tunitsky
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 13, 2011 18:30

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