Mots-clés : existence.
@article{VYURU_2012_11_a3,
author = {A. I. Kozhanov},
title = {Linear {Inverse} {Problems} for a {Class} of {Degenerate} {Equations} of {Sobolev} {Type}},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
pages = {33--42},
year = {2012},
number = {11},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURU_2012_11_a3/}
}
TY - JOUR AU - A. I. Kozhanov TI - Linear Inverse Problems for a Class of Degenerate Equations of Sobolev Type JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie PY - 2012 SP - 33 EP - 42 IS - 11 UR - http://geodesic.mathdoc.fr/item/VYURU_2012_11_a3/ LA - ru ID - VYURU_2012_11_a3 ER -
%0 Journal Article %A A. I. Kozhanov %T Linear Inverse Problems for a Class of Degenerate Equations of Sobolev Type %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie %D 2012 %P 33-42 %N 11 %U http://geodesic.mathdoc.fr/item/VYURU_2012_11_a3/ %G ru %F VYURU_2012_11_a3
A. I. Kozhanov. Linear Inverse Problems for a Class of Degenerate Equations of Sobolev Type. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 11 (2012), pp. 33-42. http://geodesic.mathdoc.fr/item/VYURU_2012_11_a3/
[1] Sobolev S. L., “On a Boundary Value Problem of Mathematical Physics”, Izv. AN SSSR. Ser. Matem., 18:2 (1954), 3–50 | MR | Zbl
[2] Demidenko G. V., Uspenskiĭ S.V., Partial Differential Equations and Systems Not Solvable with Respect to the Highest-Order Derivative, Marcel Dekker, New York–Basel, 2003 | MR | Zbl
[3] A. I. Kozhanov, Composite Type Equations and Inverse Problems, VSP, Utrecht, 1999 | MR | Zbl
[4] Egorov I. E., Pyatkov S. G., Popov S. V., Nonclassical Differential-operator Equations, Nauka, Novosibirsk, 2000 | MR
[5] S. G. Pyatkov, Operator Theory. Nonclassical Problems, VSP, Utrecht–Boston–Köln–Tokyo, 2002 | MR | Zbl
[6] G. A. Sviridyuk, V. E. Fedorov, Linear Sobolev Type Equations and Degenerate Semigroups of Operators, VSP, Utrecht, 2003 | MR | Zbl
[7] N. Hayashi, E. I. Kaikina, P. I. Naumkin, I. A. Shishmarev, Asymptotic for dissipative nonlinear equations, Springer, 2006 | MR
[8] Sveshnikov A. G., Al'shin A. B., Korpusov M. O., Pletner Yu. D., Linear and Nonlinear Equations of Sobolev Type, Fizmatlit, M., 2007
[9] Korpusov M. O., Blow-up of Nonclassical Non-local Equations, Librokom, M., 2011
[10] Kozhanov A. I., “Nonlinear Loaded Equations and Inverse Problems”, Computational Mathematics and Mathematical Physics, 44:4 (2004), 694–716 | MR | Zbl
[11] Kozhanov A. I., “The Solvability of Inverse Problems of Reconstruction Coefficients in the Equations of Composite Type”, Vestn. NGU. Seriya Matematika, mekhanika, informatika, 8:2 (2008), 81–99 | MR
[12] Kozhanov A. I., “On the Solvability of the Inverse Problem of Finding the Leading Coefficient of Equation of Composite Type”, Vestnik Yuzhno-Ural'skogo universiteta. Seria «Matematicheskoe modelirovanie i programmirovanie», 2008, no. 15 (115), issue 1, 27–36 | MR
[13] Kozhanov A. I., “On the Solvability of the Inverse Problem for Some Sobolev-type Equations”, Nauch. vedomosti Belgorod. gos. un-ta. Matematika. Fizika, 2010, no. 5, issue 18, 88–98
[14] Ablabekov B. S., “Inverse Problems for Equations Benjamin–Bona–Mahoki”, Informatsionnye tekhnologii i obratnye zadachi ratsional'nogo prirodoispol'zovaniya, Yugorskiy NII informatsionnykh tekhnologiy, Khanty-Mansiysk, 2005, 6–9
[15] V. E. Fedorov, A. V. Urazaeva, “An inverse problem for linear Sobolev type equations”, J. Inverse Ill-Posed Probl., 12:4 (2004), 387–395 | DOI | MR | Zbl
[16] Fedorov V. G., Ivanova N. D., “A Nonlinear Inverse Problem for the Oskolkov System”, Teoriya i chislennye metody resheniya obratnykh i nekorrektnykh zadach, shkola-konferentsiya, tez. dokl. (Novosibirsk, 2011), 72
[17] Nazushev A. M., The Equations of Mathematical Biology, Vyssh. shk., M., 1995
[18] Dzhenaliev M. T., To the Theory of Linear Boundary Value Problems for Loaded Differential Equations, Izd. In-ta Teor. i priklad. matematiki, Almaty, 1995
[19] Dzhenaliev M. T., Ramazanov M. I., Loaded Equation as Perturbations of Differential Equations, FYLYM, Almaty, 2010
[20] Trenogin V. A., Functional Analysis, Nauka, M., 1980 | MR | Zbl
[21] Yakubov S. Ya., Linear Differential-operator Equations and Their Applications, Elm, Baku, 1985
[22] Ladyzhenskaya O. A., Ural'tseva N. N., Linear and Quasilinear Equations of Elliptic Type, Nauka, M., 1973 | MR