Research output: Contribution to journal › Article › peer-review
Об устойчивости решений системы линейных дифференциальных уравнений. / Королев, Владимир Степанович; Алферов, Геннадий Викторович; Иванов, Геннадий Григорьевич.
In: ВЕСТНИК ПЕРМСКОГО УНИВЕРСИТЕТА. СЕРИЯ: МАТЕМАТИКА. МЕХАНИКА. ИНФОРМАТИКА, Vol. 57, No. 2(57), 2022, p. 31-39.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Об устойчивости решений системы линейных дифференциальных уравнений
AU - Королев, Владимир Степанович
AU - Алферов, Геннадий Викторович
AU - Иванов, Геннадий Григорьевич
PY - 2022
Y1 - 2022
N2 - The article proposes the continuation and development of the apparatus of derived numbers, which allows us to study the behavior of several variables functions and the properties of systems solutions of differential equations without their differentiability. The conditions and criteria for using the apparatus of partial and external derivatives numbers are proposed, the obtained earlier results can be applied in the study of the solutions stability of ordinary differential equations systems.
AB - The article proposes the continuation and development of the apparatus of derived numbers, which allows us to study the behavior of several variables functions and the properties of systems solutions of differential equations without their differentiability. The conditions and criteria for using the apparatus of partial and external derivatives numbers are proposed, the obtained earlier results can be applied in the study of the solutions stability of ordinary differential equations systems.
UR - https://www.mendeley.com/catalogue/c5deaa72-e733-3ad5-a429-2d89c03487e1/
U2 - 10.17072/1993-0550-2022-2-31-39
DO - 10.17072/1993-0550-2022-2-31-39
M3 - статья
VL - 57
SP - 31
EP - 39
JO - ВЕСТНИК ПЕРМСКОГО УНИВЕРСИТЕТА. СЕРИЯ: МАТЕМАТИКА. МЕХАНИКА. ИНФОРМАТИКА
JF - ВЕСТНИК ПЕРМСКОГО УНИВЕРСИТЕТА. СЕРИЯ: МАТЕМАТИКА. МЕХАНИКА. ИНФОРМАТИКА
SN - 1993-0550
IS - 2(57)
ER -
ID: 98970971