Almost Periodic Solutions of First-Order Ordinary Differential Equations

Seifedine Kadry, Gennady Alferov, Gennady Ivanov, Artem Sharlay

Результат исследований: Научные публикации в периодических изданияхстатья

2 Цитирования (Scopus)

Выдержка

Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered. Conditions that allow determination for both upper and lower bounds for these solutions are found. The existence and stability of almost periodic problems are studied. The novelty of this paper lies in the fact that the use of apparatus derivatives allows for the reduction of restrictions on the degree of smoothness of the right parts. In our work, regarding the number of periodic solutions of equations first order, we don't require a high degree of smoothness and no restriction on the smoothness of the second derivative of the Schwartz equation. We have all of these restrictions lifted. Our new form presented also emphasizes this novelty.

Язык оригиналаАнглийский
Номер статьи171
Число страниц21
ЖурналMathematics
Том6
Номер выпуска9
DOI
СостояниеОпубликовано - сен 2018

Предметные области Scopus

  • Математика (все)

Цитировать

Kadry, Seifedine ; Alferov, Gennady ; Ivanov, Gennady ; Sharlay, Artem. / Almost Periodic Solutions of First-Order Ordinary Differential Equations. В: Mathematics. 2018 ; Том 6, № 9.
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Almost Periodic Solutions of First-Order Ordinary Differential Equations. / Kadry, Seifedine; Alferov, Gennady; Ivanov, Gennady; Sharlay, Artem.

В: Mathematics, Том 6, № 9, 171, 09.2018.

Результат исследований: Научные публикации в периодических изданияхстатья

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T1 - Almost Periodic Solutions of First-Order Ordinary Differential Equations

AU - Kadry, Seifedine

AU - Alferov, Gennady

AU - Ivanov, Gennady

AU - Sharlay, Artem

PY - 2018/9

Y1 - 2018/9

N2 - Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered. Conditions that allow determination for both upper and lower bounds for these solutions are found. The existence and stability of almost periodic problems are studied. The novelty of this paper lies in the fact that the use of apparatus derivatives allows for the reduction of restrictions on the degree of smoothness of the right parts. In our work, regarding the number of periodic solutions of equations first order, we don't require a high degree of smoothness and no restriction on the smoothness of the second derivative of the Schwartz equation. We have all of these restrictions lifted. Our new form presented also emphasizes this novelty.

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KW - ODE

KW - periodic solutions

KW - upper bounds

KW - lower bounds

KW - stability

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