Publication detail

Periodic solutions in a linear delay difference system

ČERMÁK, J. FEDORKOVÁ, L. NECHVÁTAL, L.

Original Title

Periodic solutions in a linear delay difference system

Type

journal article in Web of Science

Language

English

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

difference equation; delay; periodic solution

Authors

ČERMÁK, J.; FEDORKOVÁ, L.; NECHVÁTAL, L.

Released

5. 4. 2025

Publisher

Bolyai Institute, University of Szeged

Location

Szeged

ISBN

1417-3875

Periodical

Electronic Journal of Qualitative Theory of Differential Equations

Year of study

2025

Number

10

State

Hungary

Pages from

1

Pages to

18

Pages count

18

URL

https://www.math.u-szeged.hu/ejqtde/p11513.pdf

Full text in the Digital Library

http://hdl.handle.net/11012/251067

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"
}