Publication detail

Asymptotic behavior of positive solutions of a discrete delayed equation

BAŠTINEC, J. DIBLÍK, J.

Original Title

Asymptotic behavior of positive solutions of a discrete delayed equation

English Title

Asymptotic behavior of positive solutions of a discrete delayed equation

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

Discrete delayed equation, Positive solution, Critical case.

Released

30.01.2017

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava

ISBN

978-80-227-4649-6

Book

Aplimat 2017, 16th conference on applied mathematics.

Pages from

21

Pages to

22

Pages count

2

Documents

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"
}