geometry of differential equations; jets; symmetries; conservation laws; Lie-Backlund transformations; invertible differential operators; functional- differential equations; integro-differential equations; differential equations with delay; deformations of structures; control problems; flat control systems
Main publications:
;325.Chetverikov V. N. On the structure of integrable C-fields // Differential Geom. Appl., 1991, 1, p. 309&ndash
Chetverikov V. N., Kudryavtsev A. G. Modelling integro-differential equations and a method for computing their symmetries and conservation laws // Amer. Math. Soc. Transl. (2), 1995, v. 167. Advances in the Mathematical Sciences, 24. Providence, RI: Amer. Math. Soc., p. 1–22.
Krasil'shchik I. S., Vinogradov A. M., Eds. Symmetries and Conservation Laws for Differential Equations of Mathematical Physics. Amer. Math. Soc., Providence, RI, 1999.
Chetverikov V. N. New flatness conditions for control systems // Proc. NOLCOS'01 (St. Petersburg), 2001, p. 168–173.
V. N. Chetverikov, “Linearization method for the flatness problem and for finding the compatibility operator”, Differ. Uravn., 42:10 (2006), 1405–1415; Differ. Equ., 42:10 (2006), 1479–1489
V. N. Chetverikov, “Higher Symmetries and the Brunovskii Infinitesimal Form of Controlled Systems”, Differ. Uravn., 38:11 (2002), 1525–1532; Differ. Equ., 38:11 (2002), 1619–1627
V. N. Chetverikov, “On Bäcklund transformations of evolution equations”, Uspekhi Mat. Nauk, 43:1(259) (1988), 217–218; Russian Math. Surveys, 43:1 (1988), 237–238
1986
6.
V. N. Chetverikov, “The structure of integrable $C$-fields on infinitely prolonged equations”, Dokl. Akad. Nauk SSSR, 286:1 (1986), 54–57
1978
7.
S. E. Pitovranov, V. N. Chetverikov, “Corrections to the diffusion approximation in stochastic differential equations”, TMF, 35:2 (1978), 211–223; Theoret. and Math. Phys., 35:2 (1978), 415–422
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
9.
I. A. Sokolov, S. L. Chernyshev, V. G. Abramov, N. V. Baeva, A. V. Bogomolov, T. I. Buldakova, A. A. Vylitok, S. V. Gavrilov, A. A. Galyaev, V. V. Gribova, N. V. Gruzdeva, A. A. Grusho, V. A. Gorelik, E. G. Zhilyakov, A. F. Kaperko, A. I. Kibzun, V. N. Kozlov, L. S. Korukhova, Yu. S. Korukhova, E. A. Kuz'menkova, S. V. Kuleshov, E. V. Larkin, T. M. Ledeneva, G. M. Martinov, I. V. Mashechkin, V. V. Men'shikh, R. A. Munasypov, A. A. Nazarov, D. V. Pashchenko, A. K. Petrenko, Yu. É. Pleshivtseva, I. N. Polyakova, A. L. Ronzhin, E. Ya. Rubinovich, V. I. Rjazhskih, I. V. Saenko, K. E. Samouylov, P. V. Saraev, G. A. Sviridyuk, D. N. Sidorov, O. A. Slavin, R. L. Smelyanskii, V. B. Sulimov, D. Yu. Sychugov, G. A. Ougolnitsky, M. V. Ul'yanov, A. V. Khoperskov, V. P. Khranilov, V. N. Chetverikov, T. B. Chistyakova, Yu. A. Shichkina, “Soloviev Sergey Yurievich (02/03/1955 - 09/22/2023). In memory of an outstanding algorithmist”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:4 (2023), 106–107
2022
10.
A. F. Kaperko, A. V. Bogomolov, I. G. Bazhenova, T. I. Buldakova, S. V. Gavrilov, A. A. Galyaev, V. A. Gorelik, A. A. Grusho, E. G. Zhilyakov, A. V. Zamyatin, A. I. Kibzun, V. N. Kozlov, A. P. Krishchenko, S. V. Kuleshov, G. G. Lazareva, E. V. Larkin, T. M. Ledeneva, G. M. Martinov, V. V. Men'shikh, R. A. Munasypov, O. V. Nagornov, A. A. Nazarov, D. A. Novikov, D. V. Pashchenko, A. K. Petrenko, Yu. É. Pleshivtseva, A. L. Ronzhin, V. I. Rjazhskih, I. B. Saenko, K. E. Samouylov, P. V. Saraev, G. A. Sviridyuk, A. V. Sedov, E. S. Semenkin, D. N. Sidorov, O. A. Slavin, S. Yu. Solov'ev, V. B. Sulimov, G. A. Ougolnitsky, A. V. Khoperskov, V. P. Khranilov, P. Yu. Chebotarev, V. N. Chetverikov, T. B. Chistyakova, Yu. A. Shichkina, “Sergey Leonidovich Chernyshev (to Anniversary Since Birth)”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:2 (2022), 125–127
11.
S. L. Chernyshev, I. G. Bazhenova, A. V. Bogomolov, T. I. Buldakova, S. V. Gavrilov, A. A. Galyaev, V. A. Gorelik, V. V. Gribova, A. A. Grusho, E. G. Zhilyakov, A. V. Zamyatin, A. F. Kaperko, A. I. Kibzun, V. N. Kozlov, A. P. Krishchenko, S. V. Kuleshov, G. G. Lazareva, E. V. Larkin, T. M. Ledeneva, G. M. Martinov, V. V. Men'shikh, R. A. Munasypov, O. V. Nagornov, A. A. Nazarov, D. A. Novikov, D. V. Pashchenko, A. K. Petrenko, Yu. É. Pleshivtseva, A. L. Ronzhin, E. Ya. Rubinovich, V. I. Rjazhskih, I. B. Saenko, K. E. Samouylov, P. V. Saraev, A. V. Sedov, E. S. Semenkin, D. N. Sidorov, O. A. Slavin, S. Yu. Solov'ev, V. B. Sulimov, G. A. Ougolnitsky, L. V. Utkin, A. V. Khoperskov, V. P. Khranilov, P. Yu. Chebotarev, V. N. Chetverikov, T. B. Chistyakova, Yu. A. Shichkina, “Рудаков Константин Владимирович (21.06.1954 – 10.07.2021). Памяти академика информатики”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 15:1 (2022), 128–130
2020
12.
A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020), 185–190; Russian Math. Surveys, 75:2 (2020), 369–375
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