Standard

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.

In: Mathematics, Vol. 7, No. 8, 677, 2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Kadry, S, Alferov, G, Ivanov, G, Korolev, V & Selitskaya, E 2019, 'A new method to study the periodic solutions of the ordinary differential equations using functional analysis', Mathematics, vol. 7, no. 8, 677. https://doi.org/10.3390/math7080677

APA

Kadry, S., Alferov, G., Ivanov, G., Korolev, V., & Selitskaya, E. (2019). A new method to study the periodic solutions of the ordinary differential equations using functional analysis. Mathematics, 7(8), [677]. https://doi.org/10.3390/math7080677

Vancouver

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(8). 677. https://doi.org/10.3390/math7080677

Author

Kadry, Seifedine ; Alferov, Gennady ; Ivanov, Gennady ; Korolev, Vladimir ; Selitskaya, Ekaterina. / A new method to study the periodic solutions of the ordinary differential equations using functional analysis. In: Mathematics. 2019 ; Vol. 7, No. 8.

BibTeX

@article{b744aa434ec14f70a41c8e64fdc4be49,
title = "A new method to study the periodic solutions of the ordinary differential equations using functional analysis",
abstract = "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.",
keywords = "Derived number, Dini-Holder derivatives, Non-smooth analysis, Periodic solutions, derived number, NUMBERS, periodic solutions",
author = "Seifedine Kadry and Gennady Alferov and Gennady Ivanov and Vladimir Korolev and Ekaterina Selitskaya",
note = "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.",
year = "2019",
doi = "10.3390/math7080677",
language = "English",
volume = "7",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "8",

}

RIS

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