Investigation of a class of solutions of the Low equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 998-1014
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The existence and uniqueness of the solutions of the non-linear Low equation, possessing a non-zero total index of the Frechet derivative, is established. A Newtonian process is constructed for the approximate solution of this equation, and some examples of numerical calculations are given.
@article{ZVMMF_1979_19_4_a18,
author = {E. P. Zhidkov and I. P. Nedyalkov and B. N. Khoromsky and Nguen Mong},
title = {Investigation of~a~class of~solutions {of~the~Low} equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {998--1014},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a18/}
}
TY - JOUR AU - E. P. Zhidkov AU - I. P. Nedyalkov AU - B. N. Khoromsky AU - Nguen Mong TI - Investigation of a class of solutions of the Low equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 998 EP - 1014 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a18/ LA - ru ID - ZVMMF_1979_19_4_a18 ER -
%0 Journal Article %A E. P. Zhidkov %A I. P. Nedyalkov %A B. N. Khoromsky %A Nguen Mong %T Investigation of a class of solutions of the Low equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 998-1014 %V 19 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a18/ %G ru %F ZVMMF_1979_19_4_a18
E. P. Zhidkov; I. P. Nedyalkov; B. N. Khoromsky; Nguen Mong. Investigation of a class of solutions of the Low equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 998-1014. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a18/