Stability Behaviour in Functional Differential Equations of the Neutral Type

Ali Fuat Yeniçerioğlu; Cüneyt Yazıcı; Vildan Yazıcı

doi:10.32323/ujma.711881

EN

Stability Behaviour in Functional Differential Equations of the Neutral Type

Abstract

In this study, we examine the behavior of solutions of the neutral functional differential equations. Using a suitable real root of the corresponding characteristic equation, the asymptotic behavior of the solutions and the stability of the trivial solution are explained. Three examples are also provided to illustrate our results.

Keywords

Asymptotic behavior, Functional differential equation, Neutral, Characteristic equation, Stability

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ali Fuat Yeniçerioğlu ^*
0000-0002-1063-0538
Türkiye

Cüneyt Yazıcı
Türkiye

Vildan Yazıcı
Türkiye

Publication Date

March 22, 2021

Submission Date

November 30, 2019

Acceptance Date

March 1, 2021

Published in Issue

Year 2021 Volume: 4 Number: 1

DOI

https://doi.org/10.32323/ujma.711881

IZ

https://izlik.org/JA38HC99WN

APA

Yeniçerioğlu, A. F., Yazıcı, C., & Yazıcı, V. (2021). Stability Behaviour in Functional Differential Equations of the Neutral Type. Universal Journal of Mathematics and Applications, 4(1), 33-40. https://doi.org/10.32323/ujma.711881

AMA

1.Yeniçerioğlu AF, Yazıcı C, Yazıcı V. Stability Behaviour in Functional Differential Equations of the Neutral Type. Univ. J. Math. Appl. 2021;4(1):33-40. doi:10.32323/ujma.711881

Chicago

Yeniçerioğlu, Ali Fuat, Cüneyt Yazıcı, and Vildan Yazıcı. 2021. “Stability Behaviour in Functional Differential Equations of the Neutral Type”. Universal Journal of Mathematics and Applications 4 (1): 33-40. https://doi.org/10.32323/ujma.711881.

EndNote

Yeniçerioğlu AF, Yazıcı C, Yazıcı V (March 1, 2021) Stability Behaviour in Functional Differential Equations of the Neutral Type. Universal Journal of Mathematics and Applications 4 1 33–40.

IEEE

[1]A. F. Yeniçerioğlu, C. Yazıcı, and V. Yazıcı, “Stability Behaviour in Functional Differential Equations of the Neutral Type”, Univ. J. Math. Appl., vol. 4, no. 1, pp. 33–40, Mar. 2021, doi: 10.32323/ujma.711881.

ISNAD

Yeniçerioğlu, Ali Fuat - Yazıcı, Cüneyt - Yazıcı, Vildan. “Stability Behaviour in Functional Differential Equations of the Neutral Type”. Universal Journal of Mathematics and Applications 4/1 (March 1, 2021): 33-40. https://doi.org/10.32323/ujma.711881.

JAMA

1.Yeniçerioğlu AF, Yazıcı C, Yazıcı V. Stability Behaviour in Functional Differential Equations of the Neutral Type. Univ. J. Math. Appl. 2021;4:33–40.

MLA

Yeniçerioğlu, Ali Fuat, et al. “Stability Behaviour in Functional Differential Equations of the Neutral Type”. Universal Journal of Mathematics and Applications, vol. 4, no. 1, Mar. 2021, pp. 33-40, doi:10.32323/ujma.711881.

Vancouver

1.Ali Fuat Yeniçerioğlu, Cüneyt Yazıcı, Vildan Yazıcı. Stability Behaviour in Functional Differential Equations of the Neutral Type. Univ. J. Math. Appl. 2021 Mar. 1;4(1):33-40. doi:10.32323/ujma.711881