Detail publikačního výsledku

Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

DIBLÍK, J.; RŮŽIČKOVÁ, M.; ŠMARDA, Z.; ŠUTÁ, Z.

Originální název

Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

Anglický název

Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

It is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main attention is paid to the criteria for the existence of an increasing solution asymptotically convergent for n goes to infinity. The results are presented as inequalities for the function beta. Examples demonstrate that the criteria obtained are sharp in a sense.

Anglický abstrakt

It is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main attention is paid to the criteria for the existence of an increasing solution asymptotically convergent for n goes to infinity. The results are presented as inequalities for the function beta. Examples demonstrate that the criteria obtained are sharp in a sense.

Klíčová slova

difference equation, asymptotically convergent solution, auxiliary inequality

Klíčová slova v angličtině

difference equation, asymptotically convergent solution, auxiliary inequality

Autoři

DIBLÍK, J.; RŮŽIČKOVÁ, M.; ŠMARDA, Z.; ŠUTÁ, Z.

Rok RIV

2016

Vydáno

03.01.2012

Nakladatel

Hindawi

Místo

USA

ISSN

1085-3375

Periodikum

Abstract and Applied Analysis

Svazek

2012

Číslo

ID 580750

Stát

Spojené státy americké

Strany od

1

Strany do

20

Strany počet

20

URL

https://www.hindawi.com/journals/aaa/2012/580750/

Plný text v Digitální knihovně

http://hdl.handle.net/11012/137070

BibTex

@article{BUT74921,
  author="Josef {Diblík} and Miroslava {Růžičková} and Zdeněk {Šmarda} and Zuzana {Šutá}",
  title="Asymptotic convergence of the solutions of a dynamic equation on discrete time scales",
  journal="Abstract and Applied Analysis",
  year="2012",
  volume="2012",
  number="ID 580750",
  pages="1--20",
  doi="10.1155/2012/580750",
  issn="1085-3375",
  url="https://www.hindawi.com/journals/aaa/2012/580750/"
}

Dokumenty

580750