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

DIBLÍK, J.; HLAVIČKOVÁ, I. Asymptotic upper and lower estimates of solutions of a class of discrete linear equations with a single delay. Abstracts CDDEA 2012. Žilina: University of Žilina, 2012. p. 14-15. ISBN: 978-80-554-0543-8.
Type
abstract
Language
English
Authors
Diblík Josef, prof. RNDr., DrSc., AdMaS VP2 KCE (FCE), MAT (FCE), UMAT (FEEC)
Hlavičková Irena, Mgr., Ph.D., UMAT (FEEC)
Abstract

The class of delayed linear difference equations of the form v(n+1)-v(n)=-p(n)v(n-k) is studied. We show that if the coefficient p(n) is bounded by certain functions, then there exists a positive vanishing solution of the considered equation and we find the upper and the lower bound for this solution.

Keywords

delayed discrete equation, asymptotic estimates

Published
2012
Pages
14–15
Book
Abstracts CDDEA 2012
ISBN
978-80-554-0543-8
Publisher
University of Žilina
Place
Žilina
BibTeX 
@misc{BUT92794,
  author="Josef {Diblík} and Irena {Hlavičková}",
  title="Asymptotic upper and lower estimates of solutions of a class of discrete linear equations with a single delay",
  booktitle="Abstracts CDDEA 2012",
  year="2012",
  pages="14--15",
  publisher="University of Žilina",
  address="Žilina",
  isbn="978-80-554-0543-8",
  note="Abstract"
}
Departments
Department of Mathematics (UMAT)
Institute of Mathematics and Descriptive Geometry (MAT)
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