Detail publikace

Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay

DIBLÍK, J. HLAVIČKOVÁ, I.

Originální název

Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

We study a frequently investigated class of linear difference equations with a positive coefficient p(n) and a single delay k. Recently, it was proved that if the function p(n) is bounded above by a certain function, then there exists a positive vanishing solution of the considered equation, and the upper bound was found. Here we improve this result by finding even the lower bound for the positive solution, supposing the function p(n) is bounded above and below by certain functions.

Klíčová slova

delayed difference equation; asymptotic estimates

Autoři

DIBLÍK, J.; HLAVIČKOVÁ, I.

Rok RIV

2012

Vydáno

15. 6. 2012

ISSN

1085-3375

Periodikum

Abstract and Applied Analysis

Ročník

2012

Číslo

ArticleID 764351

Stát

Spojené státy americké

Strany od

1

Strany do

12

Strany počet

12

URL

http://www.hindawi.com/journals/aaa/2012/764351/

BibTex

@article{BUT92036,
  author="Josef {Diblík} and Irena {Hlavičková}",
  title="Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay",
  journal="Abstract and Applied Analysis",
  year="2012",
  volume="2012",
  number="ArticleID 764351",
  pages="1--12",
  issn="1085-3375",
  url="http://www.hindawi.com/journals/aaa/2012/764351/"
}