Detail výsledku

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.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Diblík Josef, prof. RNDr., DrSc., MAT (FAST), UMAT (FEKT)
Hlavičková Irena, Mgr., Ph.D., UMAT (FEKT)
Abstrakt

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.

Klíčová slova

delayed difference equation, asymptotic behavior, Liapunov, retract

Rok
2011
Strany
1–24
Časopis
Abstract and Applied Analysis, roč. 2011, č. 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"
}
Pracoviště
Ústav matematiky (UMAT)
Ústav matematiky a deskriptivní geometrie (MAT)
Nahoru