Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales

Karpuz B., KOYUNCUOĞLU H. C.

NONLINEAR ANALYSIS-HYBRID SYSTEMS, cilt.41, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.nahs.2021.101049
  • Dergi Adı: NONLINEAR ANALYSIS-HYBRID SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Time scale, Volterra integro-dynamical system, Metzler matrix, Positive system, Uniform exponential stability
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The main objective of this study is two-fold: First, we provide necessary and sufficient conditions for the positivity of Volterra integro-dynamical systems on time scales by means of Metzler matrices. Secondly, we show that positivity of the system implies uniform exponential stability of the trivial solution under sufficient conditions. (C) 2021 Elsevier Ltd. All rights reserved.