Detail výsledku

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

DIBLÍK, J.; HLAVIČKOVÁ, I. Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay. Abstract and Applied Analysis, 2012, vol. 2012, no. ArticleID 764351, p. 1-12. ISSN: 1085-3375.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Diblík Josef, prof. RNDr., DrSc., AdMaS VP2 KCE (FAST), MAT (FAST), UMAT (FEKT)
Hlavičková Irena, Mgr., Ph.D., UMAT (FEKT)
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

URL
Rok
2012
Strany
1–12
Časopis
Abstract and Applied Analysis, roč. 2012, č. ArticleID 764351, ISSN 1085-3375
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/"
}
Pracoviště
Ústav matematiky (UMAT)
Ústav matematiky a deskriptivní geometrie (MAT)
Nahoru