Publication detail
Periodic solutions in a linear delay difference system
ČERMÁK, J. FEDORKOVÁ, L. NECHVÁTAL, L.
English title
Periodic solutions in a linear delay difference system
Type
WoS Article
Language
en
Original abstract
The paper investigates periodicity properties of a linear autonomous difference system with two delayed terms. Assuming that the system matrices are simultaneously triangularizable, we formulate necessary and sufficient conditions guaranteeing the existence of a nonzero periodic solution (with an a priori given period) of the studied system. The analytical form of such conditions is shown to generalize the existing results on this topic. Moreover, it is supported by a geometric reformulation, offering a better understanding of the derived periodicity conditions. Information on the form of the searched periodic solution (including its prime period) is also provided.
Keywords in English
difference equation; delay; periodic solution
Released
2025-04-05
Publisher
Bolyai Institute, University of Szeged
Location
Szeged
ISSN
1417-3875
Volume
2025
Number
10
Pages from–to
1–18
Pages count
18
BIBTEX
@article{BUT197855,
author="Jan {Čermák} and Lucie {Fedorková} and Luděk {Nechvátal}",
title="Periodic solutions in a linear delay difference system",
journal="Electronic Journal of Qualitative Theory of Differential Equations",
year="2025",
volume="2025",
number="10",
pages="1--18",
doi="10.14232/ejqtde.2025.1.10",
issn="1417-3875",
url="https://www.math.u-szeged.hu/ejqtde/p11513.pdf"
}