Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales. (August 2021)

• Record Type: Journal Article
• Authors: Karpuz, Başak; Koyuncuoğlu, Halis Can
• Is Part Of: Nonlinear analysis. Volume 41(2021)
• Publication Date: 2021-08
• Subjects: 45D05 -- 34N05 -- 45M10 -- 45M20; Time scale -- Volterra integro-dynamical system -- Metzler matrix -- Positive system -- Uniform exponential stability; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101049
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: 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.