Information technologies and computer sciences

RELATIONSHIP THEORY OF DAMAGE SUMMATION WITH PROBLEM OF TAUTOCHRONE

Authors

V. O. Kraievskyi
Vinnytsia National Technical University ROR
V. M. Mykhalevych
Vinnytsia National Technical University ROR

Keywords

damage summation tautochrone maximum deformation protracted durability hereditary type model power-mode kernel

Abstract

The relationship between the hereditary theory of damage summation and the problem oftautochrone is ascertained. This has not only made it possible to reveal new properties of the defining relation of this theory, based on the power expression of the integral kernel, but also indicates a deeper connection with various branches of mathematics, in particular the theory of integral equations.

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How to Cite

[1]
“RELATIONSHIP THEORY OF DAMAGE SUMMATION WITH PROBLEM OF TAUTOCHRONE”, Вісник ВПІ, no. 5, pp. 85–92, Dec. 2016, Accessed: Oct. 06, 2026. Available: https://visnyk.vntu.edu.ua/index.php/visnyk/article/view/1972

Author Biographies

V. O. Kraievskyi, Vinnytsia National Technical University
Cand. Sc. (Eng.), Assistant Professor, Assistant Professor of the Chair of Higher Mathematics
V. M. Mykhalevych, Vinnytsia National Technical University
Dr. Sc. (Eng.), Professor, Head of the Chair of Higher Mathematics

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