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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.
Citation:
V. A. Shishkin, “Evidence-based computational experiment in the study of the Cauchy problem for a differential equation with a deviating argument”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226, VINITI, Moscow, 2023, 165–169
Linking options:
https://www.mathnet.ru/eng/into1211 https://www.mathnet.ru/eng/into/v226/p165
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Statistics & downloads: |
Abstract page: | 50 | Full-text PDF : | 17 | References: | 14 |
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