A mixed problem with integral condition for a~degenerative equation of the hyperbolic type
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 29-36
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In this article, the mixed problem for the hyperbolic degenerate equation with an integral condition is considered. The existence and uniqueness of a generalized solution are proved.
Keywords:
degenerate equation, integral condition, generalized solution, apriori estimate, regularization method, Galerkin method.
@article{VSGU_2011_8_a2,
author = {S. V. Kirichenko},
title = {A mixed problem with integral condition for a~degenerative equation of the hyperbolic type},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {29--36},
publisher = {mathdoc},
number = {8},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2011_8_a2/}
}
TY - JOUR AU - S. V. Kirichenko TI - A mixed problem with integral condition for a~degenerative equation of the hyperbolic type JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2011 SP - 29 EP - 36 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGU_2011_8_a2/ LA - ru ID - VSGU_2011_8_a2 ER -
%0 Journal Article %A S. V. Kirichenko %T A mixed problem with integral condition for a~degenerative equation of the hyperbolic type %J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ %D 2011 %P 29-36 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGU_2011_8_a2/ %G ru %F VSGU_2011_8_a2
S. V. Kirichenko. A mixed problem with integral condition for a~degenerative equation of the hyperbolic type. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2011), pp. 29-36. http://geodesic.mathdoc.fr/item/VSGU_2011_8_a2/