Publication result detail

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

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

Original Title

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

English Title

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

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

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.

English abstract

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.

Keywords

difference equation, asymptotically convergent solution, auxiliary inequality

Key words in English

difference equation, asymptotically convergent solution, auxiliary inequality

Authors

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

RIV year

2016

Released

03.01.2012

Publisher

Hindawi

Location

USA

ISBN

1085-3375

Periodical

Abstract and Applied Analysis

Volume

2012

Number

ID 580750

State

United States of America

Pages from

1

Pages to

20

Pages count

20

URL

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

Full text in the Digital Library

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/"
}

Documents

580750