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) identifier identifier

  • 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, EXPONENTIAL STABILITY, ASYMPTOTIC-BEHAVIOR, SYSTEMS, PERIODICITY
  • 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.