The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 14-18
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In this paper, we consider the Goursat problem for a loaded hyperbolic equation with the wave operator in the principal part. We prove the uniqueness and existence of solution for the problem under study, and give the solution in the closed form
Mots-clés :
Goursat problem
Keywords: wave operator, hyperbolic equation, loaded differential equation.
Keywords: wave operator, hyperbolic equation, loaded differential equation.
@article{VKAM_2018_3_a0,
author = {A. H. Attaev},
title = {The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {14--18},
publisher = {mathdoc},
number = {3},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/}
}
TY - JOUR AU - A. H. Attaev TI - The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2018 SP - 14 EP - 18 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/ LA - ru ID - VKAM_2018_3_a0 ER -
%0 Journal Article %A A. H. Attaev %T The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics %J Vestnik KRAUNC. Fiziko-matematičeskie nauki %D 2018 %P 14-18 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/ %G ru %F VKAM_2018_3_a0
A. H. Attaev. The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 14-18. http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/