Detail publikace

Asymptotic behavior of positive solutions of a discrete delayed equation

Originální název

Asymptotic behavior of positive solutions of a discrete delayed equation

Anglický název

Asymptotic behavior of positive solutions of a discrete delayed equation

Jazyk

en

Originální abstrakt

In the paper the scalar discrete equation with delay is considered. We prove that there exists a positive solution of the equation and give its upper estimation. The proof of the main results is based on the asymptotic decomposition and discrete version of Wazevski's topological method. Main results gives sufficient conditions for the existence of a positive solution and it cannot be further improved.

Anglický abstrakt

In the paper the scalar discrete equation with delay is considered. We prove that there exists a positive solution of the equation and give its upper estimation. The proof of the main results is based on the asymptotic decomposition and discrete version of Wazevski's topological method. Main results gives sufficient conditions for the existence of a positive solution and it cannot be further improved.

BibTex


@inproceedings{BUT134471,
  author="Jaromír {Baštinec} and Josef {Diblík}",
  title="Asymptotic behavior of positive solutions of a discrete delayed equation",
  annote="In the paper the scalar discrete equation with delay  is considered. We prove that there exists a positive solution of the equation  and give its upper estimation. The proof of the main results is based on the asymptotic decomposition and discrete version of Wazevski's topological method. Main results gives sufficient conditions for the existence of a positive solution and it cannot be further improved.
",
  address="Slovak University of Technology in Bratislava",
  booktitle="Aplimat 2017, 16th conference on applied mathematics.",
  chapter="134471",
  howpublished="print",
  institution="Slovak University of Technology in Bratislava",
  year="2017",
  month="january",
  pages="21--22",
  publisher="Slovak University of Technology in Bratislava",
  type="conference paper"
}