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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
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
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" }