Hyers–Ulam stability of loxodromic Möbius difference equation

Young Woo Nam

Applied Mathematics and Computation, 2019, vol. 356, issue C, 119-136

Abstract: Hyers–Ulam stability of the sequence {zn}n∈N satisfying the difference equation zn+1=g(zn) where g(z)=az+bcz+d with complex numbers a, b, c and d is defined. Let g be loxodromic Möbius map, that is, g satisfies that ad−bc=1 and a+d∈C∖[−2,2]. Hyers–Ulam stability holds if the initial point of {zn}n∈N is in the exterior of avoided region, which is the union of the certain disks of g−n(∞) for all n∈N.

Keywords: Hyers–Ulam stability; Difference equation; Recurrence; Möbius map (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319302346
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:356:y:2019:i:c:p:119-136

DOI: 10.1016/j.amc.2019.03.033

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().