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A new method to study the periodic solutions of the ordinary differential equations using functional analysis. / Kadry, Seifedine; Alferov, Gennady; Ivanov, Gennady; Korolev, Vladimir; Selitskaya, Ekaterina.
в: Mathematics, Том 7, № 8, 677, 2019.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - A new method to study the periodic solutions of the ordinary differential equations using functional analysis
AU - Kadry, Seifedine
AU - Alferov, Gennady
AU - Ivanov, Gennady
AU - Korolev, Vladimir
AU - Selitskaya, Ekaterina
N1 - Kadry, S.; Alferov, G.; Ivanov, G.; Korolev, V.; Selitskaya, E. A New Method to Study the Periodic Solutions of the Ordinary Differential Equations Using Functional Analysis. Mathematics 2019, 7, 677.
PY - 2019
Y1 - 2019
N2 - In this paper, a new theorems of the derived numbers method to estimate the number of periodic solutions of first-order ordinary differential equations are formulated and proved. Approaches to estimate the number of periodic solutions of ordinary differential equations are considered. Conditions that allow us to determine both upper and lower bounds for these solutions are found. The existence and stability of periodic problems are considered.
AB - In this paper, a new theorems of the derived numbers method to estimate the number of periodic solutions of first-order ordinary differential equations are formulated and proved. Approaches to estimate the number of periodic solutions of ordinary differential equations are considered. Conditions that allow us to determine both upper and lower bounds for these solutions are found. The existence and stability of periodic problems are considered.
KW - Derived number
KW - Dini-Holder derivatives
KW - Non-smooth analysis
KW - Periodic solutions
KW - derived number
KW - NUMBERS
KW - periodic solutions
UR - http://www.scopus.com/inward/record.url?scp=85070471318&partnerID=8YFLogxK
U2 - 10.3390/math7080677
DO - 10.3390/math7080677
M3 - Article
AN - SCOPUS:85070471318
VL - 7
JO - Mathematics
JF - Mathematics
SN - 2227-7390
IS - 8
M1 - 677
ER -
ID: 46174939