A Test for Global Attractivity of Linear Dynamic Equations with Delay
Qualitative Theory of Dynamical Systems, cilt.23, sa.3, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.1007/s12346-023-00907-8
- Dergi Adı: Qualitative Theory of Dynamical Systems
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Anahtar Kelimeler: Delay dynamic equations, Global attractivity, Time scale
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Dokuz Eylül Üniversitesi Adresli: Evet
Özet
In this paper, we consider the delay dynamic equation (Figure presented.) Based on Lyapunov’s method, we study global attractivity of the trivial solution of (∗). Our new result generalizes some well-known results in the theory of difference and differential equations to dynamic equations of the form (∗). We also present some examples on nonstandard time scales to illustrate the importance of the new result.