05.13.18 (Mathematical modelling, calculating methods, and the program systems)
E-mail:
Keywords:
the Sobolev type equations, phase spaces, propagators.
Subject:
The Sobolev type equations of high order.
Main publications:
G. A. Sviridyuk and A. A. Zamyshlyaeva. The phase spaces of a class of linear higher-order Sobolev type equations // Differential Equations. Vol. 42, no. 2, 269–278.
A. D. Kashcheeva, A. A. Zamyshlyaeva, “Investigation of the transient responses of a beam on an elastic polymeric foundation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 17:1 (2024), 97–105
2023
2.
A. A. Zamyshlyaeva, E. V. Bychkov, “Optimal control of solutions to the Cauchy problem for an incomplete semilinear Sobolev type equation of the second order”, J. Comp. Eng. Math., 10:3 (2023), 24–37
3.
S. M. Elsakov, D. A. Drozin, A. A. Zamyshlyaeva, A. P. Basmanov, V. A. Surin, A. V. Herreinstein, S. G. Nitskaya, “Parameters identification algorithm for the SUSUPLUME air pollution propagation model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:3 (2023), 74–82
2022
4.
A. A. Zamyshlyaeva, E. V. Bychkov, “Algorithm for numerical solution of the optimal control problem for the mathematical model of shallow water wave propagation”, J. Comp. Eng. Math., 9:2 (2022), 73–80
5.
A. A. Zamyshlyaeva, A. V. Lut, “Processing of information on recovery of the external force parameter for the mathematical model of ion-acoustic waves in plasma”, J. Comp. Eng. Math., 9:1 (2022), 59–72
6.
A. A. Zamyshlyaeva, O. N. Tsyplenkova, “Reconstruction of dynamically distorted signals based on the theory of optimal control of solutions for Sobolev type equations in the spaces of stochastic processes”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:3 (2022), 38–44
7.
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
8.
A. A. Zamyshlyaeva, E. V. Bychkov, “Semilinear Sobolev type mathematical models”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:1 (2022), 43–59
A. L. Shestakov, A. A. Zamyshlyaeva, N. A. Manakova, G. A. Sviridyuk, A. V. Keller, “Reconstruction of a dynamically distorted signal based on the theory of optimal dynamic measurements”, Avtomat. i Telemekh., 2021, no. 12, 125–137; Autom. Remote Control, 82:12 (2021), 2143–2154
A. V. Lut, A. A. Zamyshlyaeva, “Numerical investigation of the inverse problem for the Boussinesq – Love mathematical model on a graph”, J. Comp. Eng. Math., 8:3 (2021), 71–85
A. D. Borodina, A. A. Zamyshlyaeva, “Numerical investigation of the inital-final problem for the Boussinesq – Love equation on a geometrical graph”, J. Comp. Eng. Math., 8:1 (2021), 15–28
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. M. Elsakov, D. A. Drozin, A. V. Herreinstein, T. G. Krupnova, S. G. Nitskaya, T. Yu. Olenchikova, A. A. Zamyshlyaeva, “Numerical study of the susuplume air pollution model”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:4 (2020), 5–18
A. A. Zamyshlyaeva, N. A. Manakova, O. N. Tsyplenkova, “Optimal control in linear Sobolev type mathematical models”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 13:1 (2020), 5–27
A. A. Zamyshlyaeva, O. N. Tsyplenkova, “Numerical solution of optimal control problem for the model of linear waves in plasma”, J. Comp. Eng. Math., 6:4 (2019), 69–78
16.
A. A. Zamyshlyaeva, O. N. Tsyplenkova, “Optimal control of solutions to the initial-final problem for the model of linear waves in a plasma”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 11:4 (2019), 26–31
17.
A. A. Zamyshlyaeva, A. V. Lut, “Inverse problem for Sobolev type mathematical models”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:2 (2019), 25–36
A. A. Zamyshlyaeva, O. N. Tsyplenkova, “Optimal control of solutions to the Showalter–Sidorov problem in a model of linear waves in plasma”, J. Comp. Eng. Math., 5:4 (2018), 46–57
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
A. A. Zamyshlyaeva, A. V. Keller, M. B. Syropiatov, “Stochastic model of optimal dynamic measurements”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:2 (2018), 147–153
A. A. Zamyshlyaeva, E. V. Bychkov, “The Cauchy problem for the Sobolev type equation of higher order”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:1 (2018), 5–14
A. A. Zamyshlyaeva, A. V. Lut, “Numerical investigation of the Boussinesq–Love mathematical models on geometrical graphs”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017), 137–143
A. A. Zamyshlyaeva, O. N. Tsyplenkova, E. V. Bychkov, “Optimal control of solutions to the initial-final problem for the Sobolev type equation of higher order”, J. Comp. Eng. Math., 3:2 (2016), 57–67
A. A. Zamyshlyaeva, G. A. Sviridyuk, “Nonclassical equations of mathematical physics. Linear Sobolev type equations of higher order”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:4 (2016), 5–16
A. A. Zamyshlyaeva, A. S. Muravyev, “Inverse problem for Sobolev type equation of the second order”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:3 (2016), 5–12
J. K. T. Al-Isawi, A. A. Zamyshlyaeva, “Computational experiment for one class of evolution mathematical models in quasi-Sobolev spaces”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 9:4 (2016), 141–147
A. A. Zamyshlyaeva, S. V. Surovtsev, “Finding of a numerical solution to the Cauchy–Dirichlet problem for Boussinesq–Lòve equation using finite differences method”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 6(128), 76–81
A. A. Zamyshlyaeva, J. K. T. Al-Isawi, “Holomorphic degenerate operator semigroups and evolutionary Sobolev type equations in quasi-Sobolev spaces of sequences”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:4 (2015), 27–36
A. A. Zamyshlyaeva, D. K. T. Al-Isawi, “On some properties of solutions to one class of evolution Sobolev type mathematical models in quasi-Sobolev spaces”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:4 (2015), 113–119
A. A. Zamyshlyaeva, A. S. Muravyev, “Computational experiment for one mathematical model of ion-acoustic waves”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:2 (2015), 127–132
A. A. Zamyshlyaeva, H. M. Al Helli, “On one Sobolev type mathematical model in quasi-Banach spaces”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 8:1 (2015), 137–142
A. A. Zamyshlyaeva, “Strongly continuous operator semigroups. Alternative approach”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:2 (2013), 40–48
2012
38.
A. A. Zamyshlyaeva, O. Tsyplenkova, “The Sobolev-type equations of the second order with the relatively dissipative operator pencils”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012), 26–33
39.
A. A. Zamyshlyaeva, “Stochastic Incomplete Linear Sobolev Type High-Ordered Equations with Additive White Noise”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 14, 73–82
A. A. Zamyshlyaeva, O. Tsyplenkova, “The Optimal Control over Solutions of the Initial-finish Value Problem for the Boussinesque–Löve Equation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 11, 13–24
A. A. Zamyshlyaeva, “The phase space of a high order Sobolev type equation”, Bulletin of Irkutsk State University. Series Mathematics, 4:4 (2011), 45–57
A. A. Zamyshlyaeva, “The initial-finish value problem for nonhomogenious Boussinesque–Löve equation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 10, 22–29
A. A. Zamyshlyaeva, A. V. Yuzeeva, “The initial-finish value problem for the Boussinesque–Löve equation defined on graph”, Bulletin of Irkutsk State University. Series Mathematics, 3:2 (2010), 18–29
A. A. Zamyshlyaeva, A. V. Yuzeeva, “The initial-finish value problem for the Boussinesq–Löve equation”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2010, no. 5, 23–31
G. A. Sviridyuk, A. A. Zamyshlyaeva, “The phase spaces of a class of linear higher-order Sobolev type equations”, Differ. Uravn., 42:2 (2006), 252–260; Differ. Equ., 42:2 (2006), 269–278
A. A. Zamyshlyaeva, A. V. Utkina, “Достаточные условия полиномиальной ограниченности пучка операторов”, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 7, 66–73
48.
O. Yu. Borodina, A. A. Zamyshlyaeva, “Регулярные пучки матриц”, Vestnik Chelyabinsk. Gos. Univ., 2003, no. 7, 22–33
1999
49.
G. A. Sviridyuk, A. A. Zamyshlyaeva, “Морфология фазовых пространств
одного класса линейных уравнений типа Соболева высокого порядка”, Vestnik Chelyabinsk. Gos. Univ., 1999, no. 5, 87–102
2022
50.
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
51.
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
53.
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
54.
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
55.
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
56.
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
57.
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
58.
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
59.
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
60.
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
61.
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
62.
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
63.
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
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