Publication result detail

On initial data generating bounded solutions of linear discrete equations II.

BAŠTINEC, J.; DIBLÍK, J.

Original Title

On initial data generating bounded solutions of linear discrete equations II.

English Title

On initial data generating bounded solutions of linear discrete equations II.

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

A lot of papers are devoted to the investigation of the problem of prescribed behavior of solutions of discrete equations and in numerous results sufficient conditions for existence of at least one solution of discrete equations having prescribed asymptotic behavior have been indicated. Not so much attention has been paid to the problem of determining corresponding initial data generating such solutions. We fill this gap for the case of two linear equations in this paper. The initial data mentioned are constructed with the use of convergent monotone sequences.

English abstract

A lot of papers are devoted to the investigation of the problem of prescribed behavior of solutions of discrete equations and in numerous results sufficient conditions for existence of at least one solution of discrete equations having prescribed asymptotic behavior have been indicated. Not so much attention has been paid to the problem of determining corresponding initial data generating such solutions. We fill this gap for the case of two linear equations in this paper. The initial data mentioned are constructed with the use of convergent monotone sequences.

Keywords

initial data, bounded solution, system of linear discrete equations

Key words in English

initial data, bounded solution, system of linear discrete equations

Authors

BAŠTINEC, J.; DIBLÍK, J.

RIV year

2010

Released

08.02.2008

ISBN

1337-6365

Periodical

Journal of Applied Mathematics

Volume

1(2008)

Number

1

State

Slovak Republic

Pages from

111

Pages to

116

Pages count

6

BibTex

@article{BUT44376,
  author="Jaromír {Baštinec} and Josef {Diblík}",
  title="On initial data generating bounded solutions of linear discrete equations II.",
  journal="Journal of Applied Mathematics",
  year="2008",
  volume="1(2008)",
  number="1",
  pages="111--116",
  issn="1337-6365"
}