Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay

Erdal Korkmaz; Abdulhamit Özdemir

doi:10.33187/jmsm.1080204

EN

Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay

Abstract

In this paper, we investigate the boundedness and uniformly asymptotically stability of the solutions to a certain third order non-autonomous differential equations with bounded delay. By constructing a Lyapunov functional, sufficient conditions for the stability and boundedness of solutions for equations considered are obtained. We used an example to demonstrate the feasibility of our results. The results essentially improve, include, and complement the results in the literature.

Keywords

Boundedness , Delay differential equations , Lyapunov functional , Stability , Third order

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Erdal Korkmaz ^*
0000-0002-6647-9312
Türkiye

Abdulhamit Özdemir
0000-0002-5310-6285
Türkiye

Publication Date

August 31, 2022

Submission Date

February 28, 2022

Acceptance Date

April 4, 2022

Published in Issue

Year 2022 Volume: 5 Number: 2

DOI

https://doi.org/10.33187/jmsm.1080204

IZ

https://izlik.org/JA27ZT49KR

APA

Korkmaz, E., & Özdemir, A. (2022). Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay. Journal of Mathematical Sciences and Modelling, 5(2), 40-47. https://doi.org/10.33187/jmsm.1080204

AMA

1.Korkmaz E, Özdemir A. Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay. Journal of Mathematical Sciences and Modelling. 2022;5(2):40-47. doi:10.33187/jmsm.1080204

Chicago

Korkmaz, Erdal, and Abdulhamit Özdemir. 2022. “Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations With Bounded Delay”. Journal of Mathematical Sciences and Modelling 5 (2): 40-47. https://doi.org/10.33187/jmsm.1080204.

EndNote

Korkmaz E, Özdemir A (August 1, 2022) Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay. Journal of Mathematical Sciences and Modelling 5 2 40–47.

IEEE

[1]E. Korkmaz and A. Özdemir, “Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay”, Journal of Mathematical Sciences and Modelling, vol. 5, no. 2, pp. 40–47, Aug. 2022, doi: 10.33187/jmsm.1080204.

ISNAD

Korkmaz, Erdal - Özdemir, Abdulhamit. “Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations With Bounded Delay”. Journal of Mathematical Sciences and Modelling 5/2 (August 1, 2022): 40-47. https://doi.org/10.33187/jmsm.1080204.

JAMA

1.Korkmaz E, Özdemir A. Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay. Journal of Mathematical Sciences and Modelling. 2022;5:40–47.

MLA

Korkmaz, Erdal, and Abdulhamit Özdemir. “Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations With Bounded Delay”. Journal of Mathematical Sciences and Modelling, vol. 5, no. 2, Aug. 2022, pp. 40-47, doi:10.33187/jmsm.1080204.

Vancouver

1.Erdal Korkmaz, Abdulhamit Özdemir. Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay. Journal of Mathematical Sciences and Modelling. 2022 Aug. 1;5(2):40-7. doi:10.33187/jmsm.1080204