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Almost Periodic Solutions of First-Order Ordinary Differential Equations. / Kadry, Seifedine; Alferov, Gennady; Ivanov, Gennady; Sharlay, Artem.

In: Mathematics, Vol. 6, No. 9, 171, 09.2018.

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

Harvard

Kadry, S, Alferov, G, Ivanov, G & Sharlay, A 2018, 'Almost Periodic Solutions of First-Order Ordinary Differential Equations', Mathematics, vol. 6, no. 9, 171. https://doi.org/10.3390/math6090171

APA

Kadry, S., Alferov, G., Ivanov, G., & Sharlay, A. (2018). Almost Periodic Solutions of First-Order Ordinary Differential Equations. Mathematics, 6(9), [171]. https://doi.org/10.3390/math6090171

Vancouver

Kadry S, Alferov G, Ivanov G, Sharlay A. Almost Periodic Solutions of First-Order Ordinary Differential Equations. Mathematics. 2018 Sep;6(9). 171. https://doi.org/10.3390/math6090171

Author

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

BibTeX

@article{3828e09626774d9bbb7ce30c2a757ae0,
title = "Almost Periodic Solutions of First-Order Ordinary Differential Equations",
abstract = "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.",
keywords = "ODE, periodic solutions, upper bounds, lower bounds, stability",
author = "Seifedine Kadry and Gennady Alferov and Gennady Ivanov and Artem Sharlay",
year = "2018",
month = sep,
doi = "10.3390/math6090171",
language = "Английский",
volume = "6",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "9",

}

RIS

TY - JOUR

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.

AB - 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.

KW - ODE

KW - periodic solutions

KW - upper bounds

KW - lower bounds

KW - stability

U2 - 10.3390/math6090171

DO - 10.3390/math6090171

M3 - статья

VL - 6

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 9

M1 - 171

ER -

ID: 36376522