To the numerical solution of one class of systems of the Volterra polynomial equations of the first kind
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 1, pp. 117-126
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In this paper, we consider a class of second order systems of the Volterra nonlinear integral equations. This class is related to the automatic control problem of a dynamic object with vector inputs and outputs. A numerical solution technique based on the Newton–Kantorovich method is considered. To verify the efficiency of the algorithms developed, a series of test calculations were carried out.
@article{SJVM_2018_21_1_a7,
author = {S. V. Solodusha},
title = {To the numerical solution of one class of systems of the {Volterra} polynomial equations of the first kind},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {117--126},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2018_21_1_a7/}
}
TY - JOUR AU - S. V. Solodusha TI - To the numerical solution of one class of systems of the Volterra polynomial equations of the first kind JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2018 SP - 117 EP - 126 VL - 21 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2018_21_1_a7/ LA - ru ID - SJVM_2018_21_1_a7 ER -
%0 Journal Article %A S. V. Solodusha %T To the numerical solution of one class of systems of the Volterra polynomial equations of the first kind %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2018 %P 117-126 %V 21 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2018_21_1_a7/ %G ru %F SJVM_2018_21_1_a7
S. V. Solodusha. To the numerical solution of one class of systems of the Volterra polynomial equations of the first kind. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 21 (2018) no. 1, pp. 117-126. http://geodesic.mathdoc.fr/item/SJVM_2018_21_1_a7/