Detail publikačního výsledku

Periodic solutions in a linear delay difference system

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

Originální název

Periodic solutions in a linear delay difference system

Anglický název

Periodic solutions in a linear delay difference system

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

difference equation; delay; periodic solution

Klíčová slova v angličtině

difference equation; delay; periodic solution

Autoři

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

Vydáno

05.04.2025

Nakladatel

Bolyai Institute, University of Szeged

Místo

Szeged

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Svazek

2025

Číslo

10

Stát

Maďarsko

Strany od

1

Strany do

18

Strany počet

18

URL

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

Plný text v Digitální knihovně

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"
}

Dokumenty

p11513