@article{ZVMMF_2017_57_8_a2,
author = {V. I. Maksimov},
title = {An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1255--1269},
year = {2017},
volume = {57},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a2/}
}
TY - JOUR AU - V. I. Maksimov TI - An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2017 SP - 1255 EP - 1269 VL - 57 IS - 8 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a2/ LA - ru ID - ZVMMF_2017_57_8_a2 ER -
%0 Journal Article %A V. I. Maksimov %T An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2017 %P 1255-1269 %V 57 %N 8 %U http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a2/ %G ru %F ZVMMF_2017_57_8_a2
V. I. Maksimov. An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 8, pp. 1255-1269. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_8_a2/
[1] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1978
[2] Lavrentev M. M., Romanov V. G., Shishatskii S. P., Nekorrektnye zadachi matematicheskoi fiziki i analiza, Nauka, Novosibirsk, 1980
[3] Prilepko A. I., Orlovsky D. G., Vasin I. A., Methods for solving inverse problems in mathematical physics, NY–Basel, 1999 | MR
[4] Kryazhimskii A. V., Osipov Yu. S., “O modelirovanii upravleniya v dinamicheskoi sisteme”, Izv. AN SSSR. Tekhn. kibernetika, 2 (1983), 51–60 | Zbl
[5] Osipov Yu. S., Kryazhimskii A. V., Maksimov V. I., Metody dinamicheskogo vosstanovleniya vkhodov upravlyaemykh sistem, UrO RAN, Ekaterinburg, 2011
[6] Osipov Yu. S., Kryazhimskii A. V., Inverse problems for ordinary differential equations: dynamical solutions, Gordon and Breach, New York, 1995 | MR | Zbl
[7] Osipov Yu. S., Vasilev F. P., Potapov M. M., Osnovy metoda dinamicheskoi regulyarizatsii, MGU, M., 1999
[8] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1984
[9] Osipov Yu. S., Izbrannye trudy, MGU, M., 2009
[10] Maksimov V. I., “Some dynamical inverse problems for hyperbolic systems”, Control and Cybernetics, 25 (1996), 465–481 | MR | Zbl
[11] Osipov Yu. S., Kryazhimskii A. V., Maksimov V. I., “Obratnye zadachi dinamiki dlya parabolicheskikh sistem”, Differents. ur-niya, 36:5 (2000), 579–597 | Zbl
[12] Osipov Yu. S., Kryazhimskii A. V., Maksimov V. I., “Metod ekstremalnogo sdviga N. N. Krasovskogo i zadachi granichnogo upravleniya”, Avtomatika i telemekhan., 4:5 (2009), 18–30
[13] Maksimov V. I., “O vosstanovlenii vkhodov v lineinykh parabolicheskikh uravneniyakh”, Tr. In-ta matem. i mekhan. UrO RAN, 17, no. 5, 2011, 125–135
[14] Kryazhimskii A. V., Maksimov V. I., “On rough inversion of a dynamical system with a disturbance”, J. Inv. Ill-Posed Problems, 16:5 (2008), 1–14 | MR
[15] Maksimov V. I., Osipov Yu. S., “O granichnom upravlenii raspredelennoi sistemoi na beskonechnom promezhutke vremeni”, Zh. vychisl. matem. i matem. fiz., 56:1 (2016), 14–26 | Zbl
[16] Maksimov V. I., “Ob odnom algoritme otslezhivaniya resheniya parabolicheskogo uravneniya na beskonechnom promezhutke vremeni”, Differents. ur-niya, 50:5 (2014), 366–375 | DOI | Zbl
[17] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978