Investigation of the stability of solutions of systems of ordinary differential equations

Standard

Investigation of the stability of solutions of systems of ordinary differential equations. / Kadry, S.; Alferov, G.; Ivanov, G.; Korolev, V.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. ред. / Theodore E. Simos; Theodore E. Simos; Theodore E. Simos; Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics, 2020. 060004 (AIP Conference Proceedings; Том 2293).

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Harvard

Kadry, S, Alferov, G , Ivanov, G & Korolev, V 2020, Investigation of the stability of solutions of systems of ordinary differential equations. в TE Simos, TE Simos, TE Simos, TE Simos, TE Simos & C Tsitouras (ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019., 060004, AIP Conference Proceedings, Том. 2293, American Institute of Physics, International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019, Rhodes, Греция, 23/09/19. https://doi.org/10.1063/5.0026495

APA

Kadry, S., Alferov, G., Ivanov, G., & Korolev, V. (2020). Investigation of the stability of solutions of systems of ordinary differential equations. в T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, & C. Tsitouras (Ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019 [060004] (AIP Conference Proceedings; Том 2293). American Institute of Physics. https://doi.org/10.1063/5.0026495

Vancouver

Kadry S, Alferov G , Ivanov G , Korolev V. Investigation of the stability of solutions of systems of ordinary differential equations. в Simos TE, Simos TE, Simos TE, Simos TE, Simos TE, Tsitouras C, Редакторы, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. American Institute of Physics. 2020. 060004. (AIP Conference Proceedings). https://doi.org/10.1063/5.0026495

Author

Kadry, S. ; Alferov, G. ; Ivanov, G. ; Korolev, V. / Investigation of the stability of solutions of systems of ordinary differential equations. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. Редактор / Theodore E. Simos ; Theodore E. Simos ; Theodore E. Simos ; Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras. American Institute of Physics, 2020. (AIP Conference Proceedings).

BibTeX

@inproceedings{6cfb6ed17e284ffa80df8bac9b530d6e,

title = "Investigation of the stability of solutions of systems of ordinary differential equations",

abstract = "An apparatus of partial and external derived numbers is proposed, which makes it possible to investigate the behavior of a function of several variables, without requiring its differentiability, but using only information about partial derived numbers, reducing restrictions on the degree of smoothness of the functions studied. The use of the apparatus of external derived numbers makes it possible to reduce the restrictions on the degree of smoothness of manifolds when studying the question of the integrability of the field of hyperplanes. The proposed method can be used to obtain the necessary or sufficient conditions for the stability of solutions of systems of differential equations. Using the apparatus of partial and external derived numbers, it can be shown that the investigation of the stability of solutions of a system of differential equations can be reduced to an investigation of the solvability of a system of equations of a special form.",

keywords = "Differential equations, Partial and external 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 = "10.1063/5.0026495",

language = "English",

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",

}

RIS

TY - GEN

T1 - Investigation of the stability of solutions of systems of ordinary differential equations

AU - Kadry, S.

AU - Alferov, G.

AU - Ivanov, G.

AU - Korolev, V.

PY - 2020/11/24

Y1 - 2020/11/24

N2 - An apparatus of partial and external derived numbers is proposed, which makes it possible to investigate the behavior of a function of several variables, without requiring its differentiability, but using only information about partial derived numbers, reducing restrictions on the degree of smoothness of the functions studied. The use of the apparatus of external derived numbers makes it possible to reduce the restrictions on the degree of smoothness of manifolds when studying the question of the integrability of the field of hyperplanes. The proposed method can be used to obtain the necessary or sufficient conditions for the stability of solutions of systems of differential equations. Using the apparatus of partial and external derived numbers, it can be shown that the investigation of the stability of solutions of a system of differential equations can be reduced to an investigation of the solvability of a system of equations of a special form.

AB - An apparatus of partial and external derived numbers is proposed, which makes it possible to investigate the behavior of a function of several variables, without requiring its differentiability, but using only information about partial derived numbers, reducing restrictions on the degree of smoothness of the functions studied. The use of the apparatus of external derived numbers makes it possible to reduce the restrictions on the degree of smoothness of manifolds when studying the question of the integrability of the field of hyperplanes. The proposed method can be used to obtain the necessary or sufficient conditions for the stability of solutions of systems of differential equations. Using the apparatus of partial and external derived numbers, it can be shown that the investigation of the stability of solutions of a system of differential equations can be reduced to an investigation of the solvability of a system of equations of a special form.

KW - Differential equations

KW - Partial and external derived numbers

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85098001268&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/54f407fa-6fc3-3a53-8e7c-b43061da1c87/

U2 - 10.1063/5.0026495

DO - 10.1063/5.0026495

M3 - Conference contribution

AN - SCOPUS:85098001268

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics

T2 - International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019

Y2 - 23 September 2019 through 28 September 2019

ER -

ID: 72144392