Evidence-based computational experiment in the study of the Cauchy problem for a differential equation with a deviating argument
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 165-169
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An approximate solution of the Cauchy problem for a differential equation with a deviating argument is considered. If a solution of the problem exists, then the computational experiment makes it possible to prove the solvability and obtain a guaranteed estimate of the norm of the error for approximate solutions.
Keywords:
Cauchy problem, differential equation with a deviating argument, error estimate, evidence-based computational experiment.
@article{INTO_2023_226_a15,
author = {V. A. Shishkin},
title = {Evidence-based computational experiment in the study of the {Cauchy} problem for a differential equation with a deviating argument},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {165--169},
publisher = {mathdoc},
volume = {226},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2023_226_a15/}
}
TY - JOUR AU - V. A. Shishkin TI - Evidence-based computational experiment in the study of the Cauchy problem for a differential equation with a deviating argument JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2023 SP - 165 EP - 169 VL - 226 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/INTO_2023_226_a15/ LA - ru ID - INTO_2023_226_a15 ER -
%0 Journal Article %A V. A. Shishkin %T Evidence-based computational experiment in the study of the Cauchy problem for a differential equation with a deviating argument %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2023 %P 165-169 %V 226 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTO_2023_226_a15/ %G ru %F INTO_2023_226_a15
V. A. Shishkin. Evidence-based computational experiment in the study of the Cauchy problem for a differential equation with a deviating argument. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 226 (2023), pp. 165-169. http://geodesic.mathdoc.fr/item/INTO_2023_226_a15/