Inverse boundary problem for a partial differential equation of fourth order with integral condition
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 51-56
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In the article the author analyses one inverse boundary problem for a partial differential equation of fourth order with integral condition. First, an original problem is reduced to the equivalent problem, the theorem of existence and uniqueness of solution is proved for the latter. Then, using these facts the author proves existence and uniqueness of classical solution of the original problem.
Keywords:
inverse problem, differential equations, uniqueness, classical solution.
Mots-clés : existence
Mots-clés : existence
@article{VYURM_2011_5_a6,
author = {Ya. T. Mehraliyev},
title = {Inverse boundary problem for a partial differential equation of fourth order with integral condition},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {51--56},
publisher = {mathdoc},
number = {5},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2011_5_a6/}
}
TY - JOUR AU - Ya. T. Mehraliyev TI - Inverse boundary problem for a partial differential equation of fourth order with integral condition JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2011 SP - 51 EP - 56 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURM_2011_5_a6/ LA - ru ID - VYURM_2011_5_a6 ER -
%0 Journal Article %A Ya. T. Mehraliyev %T Inverse boundary problem for a partial differential equation of fourth order with integral condition %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2011 %P 51-56 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURM_2011_5_a6/ %G ru %F VYURM_2011_5_a6
Ya. T. Mehraliyev. Inverse boundary problem for a partial differential equation of fourth order with integral condition. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 5 (2011), pp. 51-56. http://geodesic.mathdoc.fr/item/VYURM_2011_5_a6/