05.13.18 (Mathematical modelling, calculating methods, and the program systems)
E-mail:
Keywords:
Sobolev type equations,
stable and unstable invariant manifolds,
quasistationary semitrajectories,
(multipoint)
initial-final value condition
Main publications:
Sagadeeva M.A., Zagrebina S.A., Manakova N.A., “Optimal control of solutions of a multipoint initial-final problem for non-autonomous evolutionary sobolev type equation”, Evolution Equations and Control Theory, 8:3 (2019), 473–488
Favini A., Zagrebina S.A., Sviridyuk G.A., “Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises”, https://ejde.math.txstate.edu/, Electronic Journal of Differential Equations, 2018:№ 128 (2018), 1-10
Zagrebina, S., Sukacheva, T., Sviridyuk, G., “The multipoint initial-final value problems for linear sobolev-type equations with relatively p-sectorial operator and additive "noise"”, Global and Stochastic Analysis, 5:2 (2018), 129-143
Zagrebina S.A., Konkina A.S., “Traffic Management Model”, Proceedings Paper, 2016 2ND INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING, APPLICATIONS AND MANUFACTURING (ICIEAM) (MAY 19-20, 2016)
Zagrebina S. A., Soldatova E.A., Sviridyuk G.A., “The Stochastic Linear Oskolkov Model of the Oil Transportation by the Pipeline”, SEMIGROUPS OF OPERATORS - THEORY AND APPLICATIONS, Conference on Semigroups of Operators - Theory and Applications, Springer Proceedings in Mathematics & Statistics, 113, SPRINGER, NEW YORK, 2015, 317-325
N. N. Solovyova, S. A. Zagrebina, G. A. Sviridyuk, “Start control of positive solutions to Sobolev type equations”, J. Comp. Eng. Math., 12:4 (2025), 40–46
2.
B. G. Grebenshchikov, S. A. Zagrebina, A. B. Lozhnikov, “Methods for studying the asymptotic properties and stabilization of some systems with linear delay”, J. Comp. Eng. Math., 12:3 (2025), 14–26
2024
3.
B. G. Grebenshchikov, S. A. Zagrebina, “Methods of research of some systems with linear delay”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 234 (2024), 133–142
4.
S. A. Zagrebina, E. I. Nazarova, M. A. Sagadeeva, “On one interpretation of the non-autonomous linearized Hoff model on a geometric graph”, J. Comp. Eng. Math., 11:4 (2024), 48–63
M. A. Sagadeeva, S. A. Zagrebina, “Stability of a stationary solution to non-autonomous linearized Hoff model on a geometrical graph”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 17:2 (2024), 40–50
M. A. Sagadeeva, S. A. Zagrebina, “Solution of stochastic non-autonomous Chen – Gurtin model with multipoint initial-final condition”, J. Comp. Eng. Math., 10:1 (2023), 44–55
7.
B. G. Grebenshchikov, S. A. Zagrebina, A. B. Lozhnikov, “The application of numerical methods to solve linear systems with a time delay”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 15:1 (2023), 5–15
A. V. Buevich, M. A. Sagadeeva, S. A. Zagrebina, “Stability of a stationary solution to one class of non-autonomous Sobolev type equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:3 (2023), 65–73
L. A. Kovaleva, A. S. Konkina, S. A. Zagrebina, “Stochastic Barenblatt–Zheltov–Kochina model with Neumann condition and multipoint initial-final value condition”, J. Comp. Eng. Math., 9:1 (2022), 24–34
G. A. Sviridyuk, N. S. Goncharov, S. A. Zagrebina, “The Showalter-Sidorov and Cauchy problems for the linear Dzekzer equation with Wentzell and Robin boundary conditions in a bounded domain”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:1 (2022), 50–63
E. V. Bychkov, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, N. A. Manakova, M. A. Sagadeeva, G. A. Sviridyuk, “Development of the theory of optimal dynamic measurement”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:3 (2022), 19–33
S. A. Zagrebina, A. S. Konkina, “The non-classical models of mathematical physics the multipoint initial-final value condition”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:1 (2022), 60–83
A. L. Shestakov, S. A. Zagrebina, N. A. Manakova, M. A. Sagadeeva, G. A. Sviridyuk, “Numerical optimal measurement algorithm under distortions caused by inertia, resonances, and sensor degradation”, Avtomat. i Telemekh., 2021, no. 1, 55–67; Autom. Remote Control, 82:1 (2021), 41–50
E. A. Soldatova, A. V. Keller, S. A. Zagrebina, “Information-logical modelling in studies of non-classical linear models of mathematical physics”, J. Comp. Eng. Math., 8:3 (2021), 14–31
15.
N. S. Goncharov, S. A. Zagrebina, G. A. Sviridyuk, “Non-uniqueness of solutions to boundary value problems with Wentzell condition”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:4 (2021), 102–105
A. L. Shestakov, A. V. Keller, A. A. Zamyshlyaeva, N. A. Manakova, S. A. Zagrebina, G. A. Sviridyuk, “The optimal measurements theory as a new paradigm in the metrology”, J. Comp. Eng. Math., 7:1 (2020), 3–23
S. A. Zagrebina, E. A. Soldatova, “The Hoff equations on a graph with the multipoint initial-final value condition”, J. Comp. Eng. Math., 6:2 (2019), 54–63
L. A. Kovaleva, E. A. Soldatova, S. A. Zagrebina, “The Barenblatt–Zheltov–Kochina equation with boundary Neumann condition and multipoint initial-final value condition”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 11:2 (2019), 14–19
G. A. Sviridyuk, A. A. Zamyshlyaeva, S. A. Zagrebina, “Multipoint initial-final problem for one class of Sobolev type models of higher order with additive "white noise"”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:3 (2018), 103–117
N. N. Solovyova, S. A. Zagrebina, “Multipoint initial-final value problem for Hoff equation in quasi-Sobolev spaces”, J. Comp. Eng. Math., 4:2 (2017), 73–79
N. N. Solovyova, S. A. Zagrebina, G. A. Sviridyuk, “Sobolev type mathematical models with relatively positive operators in the sequence spaces”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 9:4 (2017), 27–35
S. I. Kadchenko, E. A. Soldatova, S. A. Zagrebina, “Numerical research of the Barenblatt–Zheltov–Kochina stochastic model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:2 (2016), 117–123
G. A. Sviridyuk, S. A. Zagrebina, A. S. Konkina, “The Oskolkov equations on the geometric graphs as a mathematical model of the traffic flow”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:3 (2015), 148–154
A. V. Keller, S. A. Zagrebina, “Some generalizations of the Showalter–Sidorov problem for Sobolev-type models”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015), 5–23
S. A. Zagrebina, A. S. Konkina, “The multipoint initial-final value condition for the Navier–Stokes linear model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:1 (2015), 132–136
S. Zagrebina, M. Sagadeeva, “The Generalized Splitting Theorem for Linear Sobolev type Equations in Relatively Radial Case”, Bulletin of Irkutsk State University. Series Mathematics, 7 (2014), 19–33
S. A. Zagrebina, “A multipoint initial-final value problem for a linear model of plane-parallel thermal convection in viscoelastic incompressible fluid”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014), 5–22
S. A. Zagrebina, E. A. Soldatova, “The linear Sobolev-type Equations With Relatively $p$-bounded Operators and Additive White Noise”, Bulletin of Irkutsk State University. Series Mathematics, 6:1 (2013), 20–34
S. A. Zagrebina, “The Initial-Finite Problems for Nonclassical Models of Mathematical Physics”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:2 (2013), 5–24
G. A. Sviridyuk, S. A. Zagrebina, “The Showalter–Sidorov problem as a phenomena of the Sobolev-type equations”, Bulletin of Irkutsk State University. Series Mathematics, 3:1 (2010), 104–125
G. A. Sviridyuk, S. A. Zagrebina, P. O. Pivovarova, “Hoff Equation Stability on a Graph”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 6–15
S. A. Zagrebina, P. O. Pivovarova, “The stability of the Hoff linear equations on a graph”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2010, no. 5, 11–16
G. A. Sviridyuk, S. A. Zagrebina, “On the Verigin problem for the generalized Boussinesq filtration equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7, 54–58; Russian Math. (Iz. VUZ), 47:7 (2003), 55–59
S. A. Zagrebina, “О задаче Дирихле–Веригина для линейного уравнения Осколкова”, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 7, 57–65
2002
38.
G. A. Sviridyuk, S. A. Zagrebina, “Verigin's Problem for Linear Equations of the Sobolev Type with Relatively $p$-Sectorial Operators”, Differ. Uravn., 38:12 (2002), 1646–1652; Differ. Equ., 38:12 (2002), 1745–1752
S. A. Zagrebina, V. I. Zalyapin, M. M. Kipnis, G. A. Sviridyuk, “Anatoliy Makarov. To the 80-th anniversary”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 17:4 (2025), 103–104
2024
40.
S. A. Zagrebina, N. L. Klinacheva, Yu. M. Kovalev, È. S. Kuropatenko, I. R. Makeyeva, V. K. Mustafin, G. A. Sviridyuk, E. S. Shestakovskaya, “In memory of Valentin Kuropatenko”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 16:1 (2024), 67–70
41.
S. A. Zagrebina, “In memory of Tat'yana Vintish”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 16:1 (2024), 66
42.
V. P. Beskachko, E. V. Golubev, S. A. Zagrebina, V. I. Zalyapin, “Mathematics. Mechanics. Physics. A brief history of the series for the 80th anniversary of SUSU”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 16:1 (2024), 60–65
2023
43.
S. L. Chernyshev, A. V. Bogomolov, T. I. Buldakova, S. V. Gavrilov, A. A. Galyaev, V. V. Gribova, A. A. Grusho, V. A. Gorelik, E. G. Zhilyakov, S. A. Zagrebina, A. V. Zamyatin, A. F. Kaperko, A. I. Kibzun, V. N. Kozlov, S. V. Kuleshov, E. V. Larkin, T. M. Ledeneva, G. M. Martinov, V. V. Menshikh, R. A. Munasypov, A. A. Nazarov, D. V. Pashchenko, A. K. Petrenko, Yu. E. Pleshivtseva, A. L. Ronzhin, E. Ya. Rubinovich, V. I. Ryazhskih, I. V. Saenko, K. E. Samouylov, P. V. Saraev, G. A. Sviridyuk, D. N. Sidorov, V. B. Sulimov, G. A. Ugolnitsky, M. V. Ul'yanov, A. V. Khoperskov, V. P. Khranilov, V. N. Chetverikov, T. B. Chistyakova, Yu. A. Shichkina, “Oleg Slavin – to the 60th birthday anniversary”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 15:4 (2023), 93–94
2022
44.
A. V. Keller, E. V. Bychkov, O. V. Gavrilova, S. A. Zagrebina, V. I. Zalyapin, A. A. Zamyshlyaeva, O. G. Kitaeva, A. S. Konkina, N. A. Manakova, D. E. Shafranov, O. N. Tsyplenkova, G. A. Sviridyuk, “Alexander Leonidovich Shestakov (to Anniversary Since Birth)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:3 (2022), 142–146
45.
S. V. Brychev, E. V. Bychkov, O. V. Gavrilova, M. A. Zagrebin, S. A. Zagrebina, A. A. Zamyshlyaeva, V. O. Kazak, A. V. Keller, O. G. Kitaeva, A. S. Konkina, N. A. Manakova, A. A. Mukhametyarova, K. V. Perevozhikova, M. A. Sagadeeva, E. A. Soldatova, N. N. Solovyova, T. G. Sukacheva, Yu. V. Khudyakov, O. N. Tsyplenkova, D. E. Shafranov, M. M. Yakupov, “Георгий Анатольевич Свиридюк
(к юбилею)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:1 (2022), 123–127
A. A. Bragina, V. L. Dilman, A. V. Herreinstein, M. M. Gol'denberg, V. V. Karachik, M. M. Kipnis, A. V. Kungurtseva, A. S. Makarov, E. V. Martynova, L. V. Matveeva, S. V. Matveev, L. D. Menikhes, V. A. Shtraus, G. A. Sviridyuk, P. B. Utkin, S. A. Zagrebina, V. I. Zalyapin, A. A. Zamyshlyaeva, et al., “Evnin Alexander Yurevich (September 24, 1960 – November 19, 2020)”, J. Comp. Eng. Math., 8:1 (2021), 74–48
47.
N. L. Abasheieva, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, A. I. Kozhanov, G. A. Sviridyuk, S. I. Kabanikhin, E. I. Safonov, A. P. Soldatov, V. V. Slavskii, “Sergey Grigorievich Pyatkov
(on 65th birthday)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:1 (2021), 131–133
2020
48.
V. I. Zalyapin, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, L. V. Matveeva, A. B. Samarov, A. Yu. Evnin, “To the 80th birthday anniversary of Arkady Gerenshtein”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 12:4 (2020), 70–72
49.
I. V. Bychkov, M. A. Zagrebin, S. A. Zagrebina, G. A. Sviridyuk, V. V. Sokolovskiy, S. V. Taskaev, “To the 65th anniversary of Vasiliy Buchel'nikov”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 12:2 (2020), 63–65
50.
A. L. Shestakov, A. A. Akimova, A. V. Keller, A. P. Lapin, N. A. Manakova, M. A. Sagadeeva, E. V. Yurasova, S. A. Zagrebina, A. A. Zamyshlyaeva, G. A. Sviridyuk, “Prof. Hristo Kirilov Radev, DSc. (November 15, 1940 – June 09, 2020)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020), 122–123
51.
A. I. Dreglea, V. K. Gorbunov, A. V. Keller, V. V. Pukhnachev, R. Ju. Leontiev, O. A. Romanova, D. N. Sidorov, V. S. Sizikov, G. A. Sviridyuk, A. A. Zamyshlyaeva, S. A. Zagrebina, “Nikolai Aleksandrovich Sidorov (on 80th birthday)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020), 119–121
52.
A. K. Tashchev, V. N. Smagin, G. A. Sviridyuk, S. A. Zagrebina, T. S. Demyanenko, “Veniamin Gennadievich Mokhov (on 70th birthday)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:3 (2020), 112–115
53.
G. A. Sviridyuk, A. V. Keller, S. A. Zagrebina, A. A. Zamyshlyaeva, N. A. Manakova, “Tamara Gennadievna Sukacheva (on anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:2 (2020), 151–153
2019
54.
E. V. Bychkov, A. V. Keller, N. A. Manakova, M. A. Sagadeeva, G. A. Sviridyuk, A. A. Zamyshlyaeva, S. A. Zagrebina, “Jacek Banasiak (on 60th birthday)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:2 (2019), 172–174
55.
A. D. Baev, Yu. E. Gliklikh, S. A. Zagrebina, A. A. Zamyshlyaeva, S. I. Kadchenko, A. V. Keller, D. V. Kostin, N. A. Manakova, V. I. Rjazhskih, G. A. Sviridyuk, T. G. Sukacheva, “Yu.I. Sapronov. To the memory of mathematician, teacher and friend”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019), 166–168
56.
S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, A. V. Makarova, N. A. Manakova, E. Yu. Mashkov, G. A. Sviridyuk, “To the 70th anniversary of professor Yu.E. Gliklikh”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:1 (2019), 163–165
2017
57.
B. K. Vodolaga, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, N. L. Klinacheva, Yu. M. Kovalev, A. N. Kraiko, È. S. Kuropatenko, I. V. Kuropatenko, M. V. Kuropatenko, V. A. Levin, I. R. Makeyeva, N. F. Morozov, V. N. Pavlenko, G. A. Sviridyuk, V. A. Simonenko, V. M. Titov, A. V. Fedorov, N. N. Fedorova, V. M. Fomin, N. A. Fomin, A. L. Shestakov, E. S. Shestakovskaya, “Valentin Fedorovich Kuropatenko (1933–2017)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017), 151–152
58.
A. A. Bayazitova, S. V. Brychev, E. V. Bychkov, V. V. Zagrebina, M. A. Zagrebin, S. A. Zagrebina, G. A. Zakirova, A. A. Zamyshlyaeva, S. I. Kadchenko, V. O. Kazak, A. V. Keller, O. G. Kitaeva, N. A. Manakova, P. O. Moskvicheva, A. B. Samarov, O. Tsyplenkova, D. E. Shafranov, M. M. Yakupov, “To the 65th anniversary of professor G. A. Sviridyuk”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017), 155–158
2016
59.
S. A. Zagrebina, V. I. Zalyapin, M. M. Kipnis, S. V. Korzhakova, G. A. Sviridyuk, “Anatoliy Semenovich Makarov. To the 70$^{\mathrm{th}}$ anniversary”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:1 (2016), 72–75
60.
N. L. Abasheieva, S. A. Zagrebina, A. A. Zamyshlyaeva, A. V. Keller, A. I. Kozhanov, N. A. Manakova, G. A. Sviridyuk, “Sergey Grigorievich Pyatkov (to the 60th anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:2 (2016), 139–144
2015
61.
A. V. Keller, G. A. Sviridyuk, S. A. Zagrebina, G. A. Zakirova, E. V. Bychkov, P. O. Moskvicheva, O. Tsyplenkova, “Sergei Ivanovich Kadchenko (to the 65th anniversary)”, J. Comp. Eng. Math., 2:4 (2015), 100–102
62.
B. V. Loginov, V. V. Pukhnachev, G. A. Sviridyuk, A. V. Keller, S. A. Zagrebina, O. A. Romanova, D. N. Sidorov, A. Dreglea, R. Yu. Leontiev, “Nikolay Aleksandrovich Sidorov (to the 75th Anniversary)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015), 143–148
2013
63.
S. A. Zagrebina, “On the fifth anniversary of the workshop for young scientists and talented youth”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:2 (2013), 138–139
2012
64.
G. A. Sviridyuk, S. A. Zagrebina, “Nonclassical Mathematical Physics Models”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14, 7–18
Contact us: