Publication result detail

Positive solutions of a discrete equation

BAŠTINEC, J.; DIBLÍK, J.

Original Title

Positive solutions of a discrete equation

English Title

Positive solutions of a discrete equation

Type

Paper in proceedings (conference paper)

Original Abstract

In the paper we study a class of linear discrete delayed equations with perturbations. Boundaries of perturbations guaranteeing the existence of a positive solution or a bounded vanishing solution of perturbed linear discrete delayed equation are given. In proofs of main results the discrete variant of Wazewski's topological method and method of asymptotic decompositions are utilized.

English abstract

In the paper we study a class of linear discrete delayed equations with perturbations. Boundaries of perturbations guaranteeing the existence of a positive solution or a bounded vanishing solution of perturbed linear discrete delayed equation are given. In proofs of main results the discrete variant of Wazewski's topological method and method of asymptotic decompositions are utilized.

Keywords

linear discrete delayed equation, perturbation, positive solution, bounded solution, Wazewski's topological method, asymptotic decomposition.

Key words in English

linear discrete delayed equation, perturbation, positive solution, bounded solution, Wazewski's topological method, asymptotic decomposition.

Authors

BAŠTINEC, J.; DIBLÍK, J.

RIV year

2018

Released

15.06.2017

Publisher

Univerzita obrany

Location

Brno

ISBN

978-80-7231-417-1

Book

Matematika, informační technologie a aplikované vědy

Pages from

1

Pages to

13

Pages count

13

URL

http://mitav.unob.cz

BibTex

@inproceedings{BUT137281,
  author="Jaromír {Baštinec} and Josef {Diblík}",
  title="Positive solutions of a discrete equation",
  booktitle="Matematika, informační technologie a aplikované vědy",
  year="2017",
  number="1",
  pages="1--13",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7231-417-1",
  url="http://mitav.unob.cz"
}