An ergodic approach to Pötzsche–Siegmund–Wirth's region of exponential stability. (May 2020)

• Record Type: Journal Article
• Authors: Jackson, Billy J.; Davis, John M.
• Is Part Of: Nonlinear analysis. Volume 36(2020)
• Publication Date: 2020-05
• Subjects: 93D05 -- 93D30 -- 37B25 -- 39B42 -- 15A24; Stability -- Ergodic theory -- Time scale -- Regularity; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2019.100848
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: We present a new technique for calculating the Pötzsche, Siegmund, and Wirth's region of exponential stability for a time scale, S ℂ ( T ) . The approach taken here unifies and extends other results on this topic in the literature. We establish a tractable algorithm for computing S ℂ ( T ) in terms of the asymptotic extended graininesses of the time scale and their relative frequencies.