A New Method to Study the Periodic Solutions of the Ordinary Differential Equations Using Functional Analysis

A New Method to Study the Periodic Solutions of the Ordinary Differential Equations Using Functional Analysis

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 tha...

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Bibliographic Details
Main Authors: Seifedine Kadry, Gennady Alferov, Gennady Ivanov, Vladimir Korolev, Ekaterina Selitskaya
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Mathematics
Subjects:
derived number
periodic solutions
Non-smooth analysis
Dini-Holder derivatives
Online Access:https://www.mdpi.com/2227-7390/7/8/677

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