Detail publikace

Periodic solutions in a linear delay difference system

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

Anglický název

Periodic solutions in a linear delay difference system

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

difference equation; delay; periodic solution

Vydáno

05.04.2025

Nakladatel

Bolyai Institute, University of Szeged

Místo

Szeged

ISSN

1417-3875

Ročník

2025

Číslo

10

Strany od–do

1–18

Počet stran

18

BIBTEX


@article{BUT197855,
  author="Jan {Čermák} and Lucie {Fedorková} and Luděk {Nechvátal},
  title="Periodic solutions in a linear delay difference system",
  year="2025",
  volume="2025",
  number="10",
  month="April",
  pages="1--18",
  publisher=" Bolyai Institute, University of Szeged",
  address="Szeged",
  issn="1417-3875"
}