Characteristic problem for the one system of hyperbolic differential equations of the third order
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 1, pp. 20-24
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In the paper the well-posed characteristic problem is considered for the hyperbolic differential equation of the third order with nonmultiple characteristics. The regular solution of the characteristic problem for the hyperbolic differential equation of the third order with the nonmultiple characteristics is constructed in an explicit form. The well-posed characteristic problem is considered for one system of hyperbolic differential equations of the third order. The regular solution of the characteristic problem for the one system of hyperbolic differential equations of the third order is constructed. The theorem for the Hadamard's well-posedness characteristic problem for the one system of hyperbolic differential equations is considered as the result of the research.
Keywords:
hyperbolic equation of the third order, nonmultiple characteristics, characteristic problem, system of hyperbolic differential equations of the third order, Hadamard's well-posedness.
@article{VSGU_2018_24_1_a2,
author = {J. O. Yakovleva},
title = {Characteristic problem for the one system of hyperbolic differential equations of the third order},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {20--24},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2018_24_1_a2/}
}
TY - JOUR AU - J. O. Yakovleva TI - Characteristic problem for the one system of hyperbolic differential equations of the third order JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2018 SP - 20 EP - 24 VL - 24 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGU_2018_24_1_a2/ LA - ru ID - VSGU_2018_24_1_a2 ER -
%0 Journal Article %A J. O. Yakovleva %T Characteristic problem for the one system of hyperbolic differential equations of the third order %J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ %D 2018 %P 20-24 %V 24 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGU_2018_24_1_a2/ %G ru %F VSGU_2018_24_1_a2
J. O. Yakovleva. Characteristic problem for the one system of hyperbolic differential equations of the third order. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 1, pp. 20-24. http://geodesic.mathdoc.fr/item/VSGU_2018_24_1_a2/