Stability Behaviour in Functional Differential Equations of the Neutral Type

Stability Behaviour in Functional Differential Equations of the Neutral Type

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 pro...

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Veröffentlicht in:Universal journal of mathematics and applications 2021-03, Vol.4 (1), p.33-40
Hauptverfasser: YENİÇERİOĞLU, Ali Fuat, YAZICI, Cüneyt, YAZICI, Vildan
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic behavior
characteristic equation
functional differential equation
neutral
stability
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Beschreibung
Zusammenfassung: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.
ISSN:2619-9653
2619-9653
DOI:10.32323/ujma.711881