Internal boundary value problems with displacement for the mixed-wave equation
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 8-14
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The paper investigates boundary value problems with an internal boundary displacement for a model mixed-wave equation, which are generalizations of the Goursat problem and problems with data on opposite characteristics. It is shown that, under certain conditions for given functions, the solution to the problems under study exists, is unique, and is written out in an explicit form.
Keywords:
wave equation, mixed wave equation, degenerate hyperbolic equation, problem with displacement, internal boundary value problem.
@article{VKAM_2021_36_3_a0,
author = {Zh. A. Balkizov and V. A. Vogahova},
title = {Internal boundary value problems with displacement for the mixed-wave equation},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {8--14},
publisher = {mathdoc},
volume = {36},
number = {3},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a0/}
}
TY - JOUR AU - Zh. A. Balkizov AU - V. A. Vogahova TI - Internal boundary value problems with displacement for the mixed-wave equation JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2021 SP - 8 EP - 14 VL - 36 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a0/ LA - ru ID - VKAM_2021_36_3_a0 ER -
%0 Journal Article %A Zh. A. Balkizov %A V. A. Vogahova %T Internal boundary value problems with displacement for the mixed-wave equation %J Vestnik KRAUNC. Fiziko-matematičeskie nauki %D 2021 %P 8-14 %V 36 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a0/ %G ru %F VKAM_2021_36_3_a0
Zh. A. Balkizov; V. A. Vogahova. Internal boundary value problems with displacement for the mixed-wave equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 8-14. http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a0/