About of the asymptotical stability of solutions of systems of ordinary differential equations

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019
EditorsTheodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735440258
ISBN (Print)9780735440258
DOIs
StatePublished - 24 Nov 2020
EventInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 - Rhodes, Greece
Duration: 23 Sep 201928 Sep 2019

Publication series

NameAIP Conference Proceedings
Volume2293
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019
CountryGreece
CityRhodes
Period23/09/1928/09/19

Scopus subject areas

  • Physics and Astronomy(all)

Keywords

  • Asymptotical stability
  • Differential equations
  • External derived numbers
  • Partial derived numbers
  • Stability

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