Solvability of an integrodifferential equation arising in the nonlocal interaction of waves
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 834-844
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The solvability of an integrodifferential equation arising in the problem of nonlocal wave interaction is analyzed. A mathematically substantiated method based on applying an Ambartsumyan-type equation is proposed for the analytical solution of the problem. Some numerical results are presented.
@article{ZVMMF_2014_54_5_a11,
author = {N. B. Engibaryan and A. Kh. Khachatryan},
title = {Solvability of an integrodifferential equation arising in the nonlocal interaction of waves},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {834--844},
publisher = {mathdoc},
volume = {54},
number = {5},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a11/}
}
TY - JOUR AU - N. B. Engibaryan AU - A. Kh. Khachatryan TI - Solvability of an integrodifferential equation arising in the nonlocal interaction of waves JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2014 SP - 834 EP - 844 VL - 54 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a11/ LA - ru ID - ZVMMF_2014_54_5_a11 ER -
%0 Journal Article %A N. B. Engibaryan %A A. Kh. Khachatryan %T Solvability of an integrodifferential equation arising in the nonlocal interaction of waves %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2014 %P 834-844 %V 54 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a11/ %G ru %F ZVMMF_2014_54_5_a11
N. B. Engibaryan; A. Kh. Khachatryan. Solvability of an integrodifferential equation arising in the nonlocal interaction of waves. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 5, pp. 834-844. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_5_a11/