Research Article

Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments

Volume: 53 Number: 5 October 15, 2024
EN

Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments

Abstract

We take into account the first order nonlinear neutral differential equation with distributed deviating arguments. Using Krasnoselskii's fixed point theorem, we give some new criteria for the existence of positive periodic solutions to this equation. The theorems we have established are illustrated by an example.

Keywords

References

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  3. [3] T. Candan, Existence of positive periodic solutions of first order neutral differential equations, Math. Methods Appl. Sci. 40(1), 205–209, 2017.
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  5. [5] J. Durina, S. R. Grace, I. Jadlovská and T. Li, Oscillation criteria for second-order Emden-Fowler delay differential equations with a sublinear neutral term, Math. Nachr. 293(5), 910–922, 2020.
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  7. [7] T. Li and Y. V. Rogovchenko, Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations, Monatsh. Math. 184(3), 489–500, 2017.
  8. [8] T. Li and Y. V. Rogovchenko, On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations, Appl. Math. Lett. 105, Art. 106293, 2020.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Early Pub Date

January 10, 2024

Publication Date

October 15, 2024

Submission Date

April 13, 2023

Acceptance Date

October 16, 2023

Published in Issue

Year 2024 Volume: 53 Number: 5

APA
Candan, T. (2024). Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments. Hacettepe Journal of Mathematics and Statistics, 53(5), 1326-1332. https://doi.org/10.15672/hujms.1282490
AMA
1.Candan T. Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments. Hacettepe Journal of Mathematics and Statistics. 2024;53(5):1326-1332. doi:10.15672/hujms.1282490
Chicago
Candan, Tuncay. 2024. “Existence Results for Positive Periodic Solutions to First Order Neutral Differential Equations With Distributed Deviating Arguments”. Hacettepe Journal of Mathematics and Statistics 53 (5): 1326-32. https://doi.org/10.15672/hujms.1282490.
EndNote
Candan T (October 1, 2024) Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments. Hacettepe Journal of Mathematics and Statistics 53 5 1326–1332.
IEEE
[1]T. Candan, “Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments”, Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 5, pp. 1326–1332, Oct. 2024, doi: 10.15672/hujms.1282490.
ISNAD
Candan, Tuncay. “Existence Results for Positive Periodic Solutions to First Order Neutral Differential Equations With Distributed Deviating Arguments”. Hacettepe Journal of Mathematics and Statistics 53/5 (October 1, 2024): 1326-1332. https://doi.org/10.15672/hujms.1282490.
JAMA
1.Candan T. Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments. Hacettepe Journal of Mathematics and Statistics. 2024;53:1326–1332.
MLA
Candan, Tuncay. “Existence Results for Positive Periodic Solutions to First Order Neutral Differential Equations With Distributed Deviating Arguments”. Hacettepe Journal of Mathematics and Statistics, vol. 53, no. 5, Oct. 2024, pp. 1326-32, doi:10.15672/hujms.1282490.
Vancouver
1.Tuncay Candan. Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments. Hacettepe Journal of Mathematics and Statistics. 2024 Oct. 1;53(5):1326-32. doi:10.15672/hujms.1282490