A new method to study the periodic solutions of the ordinary differential equations using functional analysis

Seifedine Kadry, Gennady Alferov, Gennady Ivanov, Vladimir Korolev, Ekaterina Selitskaya

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

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.

Язык оригиналаанглийский
Номер статьи677
ЖурналMathematics
Том7
Номер выпуска8
Ранняя дата в режиме онлайн29 июл 2019
DOI
СостояниеОпубликовано - 2019

Отпечаток

Functional Analysis
Periodic Solution
Ordinary differential equation
Periodic Problem
First order differential equation
Estimate
Upper and Lower Bounds
Theorem

Предметные области Scopus

  • Математика (все)

Цитировать

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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.

Результат исследований: Научные публикации в периодических изданияхстатья

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AU - Korolev, Vladimir

AU - Selitskaya, Ekaterina

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KW - Dini-Holder derivatives

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