@inproceedings{110619d4023545cd85c569c5934b668e,
title = "About of the asymptotical stability of solutions of systems of ordinary differential equations",
abstract = "The concept of partial derivatives of numbers is considered to study the stability of solutions of systems of differential equations. The conditions and criteria for the use of partial and external derived numbers are proposed. This makes it possible to investigate the behavior of a function of several variables, without requiring its differentiability, but using only information about partial derivative numbers. This reduces the restrictions on the degree of smoothness of the functions being studied. The proposed method can be used to obtain the necessary or sufficient conditions for the stability of solutions of systems of differential equations.",
keywords = "Asymptotical stability, Differential equations, External derived numbers, Partial derived numbers, Stability",
author = "S. Kadry and G. Alferov and G. Ivanov and V. Korolev",
note = "Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 ; Conference date: 23-09-2019 Through 28-09-2019",
year = "2020",
month = nov,
day = "24",
doi = "10.1063/5.0026496",
language = "English",
isbn = "9780735440258",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019",
address = "United States",
}