On Different Types of Stability for Linear Delay Dynamic Equations

Braverman, Elena; KARPUZ, BAŞAK

doi:10.4171/zaa/1592

On Different Types of Stability for Linear Delay Dynamic Equations

Braverman E., KARPUZ B.

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, cilt.36, sa.3, ss.343-375, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 36 Sayı: 3
Basım Tarihi: 2017
Doi Numarası: 10.4171/zaa/1592
Dergi Adı: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.343-375
Anahtar Kelimeler: Delay dynamic equations, global stability, uniform exponential stability, global asymptotic stability
Dokuz Eylül Üniversitesi Adresli: Evet

Özet

We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coefficient. Some examples on nonstandard time scales are also given to show applicability and sharpness of the new results.