Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

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.

Anglický 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.

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",
  annote="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.",
  chapter="92036",
  number="ArticleID 764351",
  volume="2012",
  year="2012",
  month="june",
  pages="1--12",
  type="journal article - other"
}