Result Details

Asymptotic behavior of solutions of delayed difference equations

DIBLÍK, J.; HLAVIČKOVÁ, I. Asymptotic behavior of solutions of delayed difference equations. Abstract and Applied Analysis, 2011, vol. 2011, no. Article ID 67196, p. 1-24. ISSN: 1085-3375.
Type
journal article
Language
English
Authors
Diblík Josef, prof. RNDr., DrSc., MAT (FCE), UMAT (FEEC)
Hlavičková Irena, Mgr., Ph.D., UMAT (FEEC)
Abstract

This contribution is devoted to the investigation of the asymptotic behavior of delayed difference equations with an integer delay. We prove that under appropriate conditions there exists at least one solution with its graph staying in a prescribed domain. This is achieved by the application of a more general theorem which deals with systems of first-order difference equations.

Keywords

delayed difference equation, asymptotic behavior, Liapunov, retract

Published
2011
Pages
1–24
Journal
Abstract and Applied Analysis, vol. 2011, no. Article ID 67196, ISSN 1085-3375
BibTeX 
@article{BUT72579,
  author="Josef {Diblík} and Irena {Hlavičková}",
  title="Asymptotic behavior of solutions of delayed difference equations",
  journal="Abstract and Applied Analysis",
  year="2011",
  volume="2011",
  number="Article ID 67196",
  pages="1--24",
  issn="1085-3375"
}
Departments
Department of Mathematics (UMAT)
Institute of Mathematics and Descriptive Geometry (MAT)
Back to top