@article{VNGU_2008_8_3_a4,
author = {A. I. Kozhanov},
title = {Solvability of {Some} {Inverse} {Problems} of {Determining} {Coefficients} of {Mixed-Type} {Equations}},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {81--99},
year = {2008},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a4/}
}
TY - JOUR AU - A. I. Kozhanov TI - Solvability of Some Inverse Problems of Determining Coefficients of Mixed-Type Equations JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2008 SP - 81 EP - 99 VL - 8 IS - 3 UR - http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a4/ LA - ru ID - VNGU_2008_8_3_a4 ER -
A. I. Kozhanov. Solvability of Some Inverse Problems of Determining Coefficients of Mixed-Type Equations. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 3, pp. 81-99. http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a4/
[1] Romanov V. G., Nekotorye obratnye zadachi dlya uravnenii giperbolicheskogo tipa, Nauka, M., 1972
[2] Anikonov Yu. E., Multidimentional Inverse and Ill-Posed Problems for Differential Equations, VSP, Utrecht, 1995 | MR
[3] Anikonov Yu. E., Formulas in Inverse and Ill-Posed Problems, VSP, Utrecht, 1997 | MR
[4] Anikonov Yu. E., Bubhov B. A., Erokhin G. N., Inverse and Ill-Posed Source Problems, VSP, Utrecht, 1997
[5] Prilepko A. I., Orlovsky D. G., Vasin I. A., Methods for Solving Inverse Problems in Mathematical Physics, Marcel Dekker, Inc., N.Y.–Basel, 1999 | MR
[6] Denisov A. M., Elements of the Theory of Inverse Problems, VSP, Utrecht, 1999 | MR | Zbl
[7] Anikonov Yu. E., Inverse Problems for Kinetic and Other Evolution Equation, VSP, Utrecht, 2001 | MR
[8] Lorenzi A., An Introduction to Mathematical Problems via Functional Analysis, VSP, Utrecht, 2001
[9] Belov Yu. Ya., Inverse Problems for Partial Differential Equations, VSP, Utrecht, 2002 | MR | Zbl
[10] Romanov V. G., Investigation Methods for Inverse Problems, VSP, Utrecht, 2002 | MR
[11] Lavrentiev M. M., Inverse Problems of Mathematical Physics, VSP, Utrecht, 2003 | MR | Zbl
[12] Megrabov A. G., Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations, VSP, Utrecht, 2003 | MR | Zbl
[13] Ivanchov M., Inverse Problems for Equations of Parabolic Type, VNTL Publishers, 2003 | MR | Zbl
[14] Romanov V. G., Ustoichivost v obratnykh zadachakh, Nauchnyi mir, M., 2005
[15] Atamanov E. R., Mamayusupov M. Sh., Neklassicheskie zadachi dlya psevdoparabolicheskikh uravnenii, Ilim, Frunze, 1990
[16] Ablabekov B. S., Obratnye zadachi dlya psevdoparabolicheskikh uravnenii, Ilim, Bishkek, 2001
[17] Ablabekov B. S., “Obratnaya zadacha dlya uravneniya Bendzhamena–Bona–Makhoni”, Informatsionnye tekhnologii i obratnye zadachi ratsionalnogo prirodopolzovaniya, Yugorskii NII informatsionnykh tekhnologii, Khanty-Mansiisk, 2005, 6–9
[18] Pyatkov S. G., “O razreshimosti nekotorykh klassov obratnykh zadach”, Informatsionnye tekhnologii i obratnye zadachi ratsionalnogo prirodopolzovaniya, Yugorskii NII informatsionnykh tekhnologii, Khanty-Mansiisk, 2005, 61–66
[19] Kozhanov A. I., “O razreshimosti nekotorykh nelineinykh obratnykh zadach dlya uravnenii sostavnogo tipa”, Nelokalnye kraevye zadachi i rodstvennye problemy matematicheskoi biologii, informatiki i fiziki, Materialy III Mezhdunar. konf., Nalchik, 2006, 159–164
[20] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vyssh. shk., M., 1995
[21] Dzhenaliev M. T., K teorii lineinykh kraevykh zadach dlya nagruzhennykh differentsialnykh uravnenii, In-t teoreticheskoi i prikladnoi matematiki, Almaty, 1995
[22] Kozhanov A. I., “Nelineinye nagruzhennye uravneniya i obratnye zadachi”, Zhurn. vych. mat. i mat. fiziki, 44:4 (2004), 722–744
[23] Kozhanov A. I., “Ob odnom nelineinom nagruzhennom parabolicheskom uravnenii i svyazannoi s nim obratnoi zadache”, Mat. zametki, 76:6 (2004), 840–853 | DOI | MR | Zbl
[24] Kozhanov A. I., “Parabolicheskie uravneniya s neizvestnym koeffitsientom, zavisyaschim ot vremeni”, Zhurn. vych. mat. i mat. fiziki, 45:12 (2005), 2168–2184 | MR | Zbl
[25] Cannon J. R., Lin Y., “Determination of a Parameter $p(t)$ in Some Quasi-linear Parabolic Differential Equations”, Inverse Problems, 4 (1988), 35–45 | DOI | MR | Zbl
[26] Ivanchov M. I., “Reduktsiya zadachi z vilnoyu mezheyu dlya parabolichnogo pivnyannya do obernenoi zadachi”, Nelineinye granichnye zadachi, In-t prikladnoi matematiki i mekhaniki, Donetsk, 2002, 73–83
[27] Ivanchov M. I., “Obernena zadacha z vilnayu mezheyu dlya rivnyannya teploprovodnosti”, Ukrainskii mat. zhurn., 55:7 (2003), 901–910 | MR | Zbl
[28] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967
[29] Yakubov S. Ya., Lineinye differentsialno-operatornye uravneniya i ikh prilozheniya, Elm, Baku, 1985
[30] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1988
[31] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973
[32] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1980
[33] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970