Detail výsledku

Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations

DIBLÍK, J.; HLAVIČKOVÁ, I. Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations. Dynamic systems and applications, 2009, vol. 18, no. 3-4, p. 507-538. ISSN: 1056-2176.
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 a discussion of the asymptotic behavior of solutions of systems of first order nonlinear difference equations. We show that under appropriate conditions there exists at least one solution of the system considered the graph of which stays in a prescribed domain. We present a method which connects Liapunov and retract type techniques.

Klíčová slova

discrete equation, Liapunov method, retract

Rok
2009
Strany
507–538
Časopis
Dynamic systems and applications, roč. 18, č. 3-4, ISSN 1056-2176
Vydavatel
Dynamic Publishers, Inc.
Místo
Atlanta, Georgia, USA
UT WoS
000270520600010
BibTeX 
@article{BUT49726,
  author="Josef {Diblík} and Irena {Hlavičková}",
  title="Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations",
  journal="Dynamic systems and applications",
  year="2009",
  volume="18",
  number="3-4",
  pages="507--538",
  issn="1056-2176"
}
Pracoviště
Ústav matematiky (UMAT)
Ústav matematiky a deskriptivní geometrie (MAT)
Nahoru