On the Asymptotic Stability of Solutions of Nonlinear Delay Differential Equations

Tunç, Cemil; Yiğit, A.

doi:10.1007/s10958-022-05754-7

On the Asymptotic Stability of Solutions of Nonlinear Delay Differential Equations

Atıf İçin Kopyala

Tunç C., Yiğit A.

Journal of Mathematical Sciences (United States), cilt.261, sa.2, ss.337-352, 2022 (Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 261 Sayı: 2
Basım Tarihi: 2022
Doi Numarası: 10.1007/s10958-022-05754-7
Dergi Adı: Journal of Mathematical Sciences (United States)
Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, MathSciNet, zbMATH
Sayfa Sayıları: ss.337-352
Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

© 2022, Springer Science+Business Media, LLC, part of Springer Nature.A nonlinear system of delay differential equations (DDEs) is considered. We obtain some new results on the asymptotic stability of a zero solution of the considered system by using well-known inequalities and the Lyapunov–Krasovskii functionals. Two numerical examples illustrate applications of the obtained results. The presented results make contributions to the qualitative theory of DDEs and improve some results known from the modern literature.