Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 998-1014
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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/
@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},
year = {1979},
volume = {19},
number = {4},
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
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
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a18/
%G ru
%F ZVMMF_1979_19_4_a18
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.
