Geodesic
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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
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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/