Evidence-based computational experiment in the study of the Cauchy problem for a differential equation with a deviating argument

V. A. Shishkin

Perm State National Research University

Abstract: 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.

UDC: 519.62

MSC: 65Q20

DOI: 10.36535/0233-6723-2023-226-165-169