Detail publikace

Retract principle for difference equations.

DIBLÍK, J.

Originální název

Retract principle for difference equations.

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

A power tool for investigation of various problems for ordinary differential equations as well as delayed differential equations is a retraction method. The developing of this method is discussed in the case of one scalar difference equation. The definition of the point of the type of strict egress for a given set with respect to the difference equation $\Delta u(k)= f(k,u(k))$ is involved. For this equation the conditions for existence of at least one solution with graph remaining in a given set are formulated. The proof is based on the idea of a retract principle. In construction of a retract mapping the property of continuous dependence of solutions on their initial data is used. Illustrative examples are considered too.

Klíčová slova

Retract principle, difference equations.

Autoři

DIBLÍK, J.

Rok RIV

2000

Vydáno

21. 3. 1998

Nakladatel

Gordon and Breach Science Publishers, Holandsko

ISBN

90-5699-688-6

Kniha

Communications n Difference equations, Proceedings of the Fourth International Conference on Differential Equations

Edice

1

Číslo edice

1

Strany od

107

Strany do

115

Strany počet

9

BibTex

@inproceedings{BUT2126,
  author="Josef {Diblík}",
  title="Retract principle for difference equations.",
  booktitle="Communications n Difference equations, Proceedings of the Fourth International Conference on Differential Equations",
  year="1998",
  series="1",
  number="1",
  pages="107--115",
  publisher="Gordon and Breach Science Publishers, Holandsko",
  isbn="90-5699-688-6"
}