Theorem of Wazewski and Dynamic Equations on Time Scales

0092698 - MÚ 2008 RIV GB eng J - Článek v odborném periodiku
Adamec, Ladislav
Theorem of Wazewski and Dynamic Equations on Time Scales.
[Věta Wazevského pro dynamické rovnice na time scalech.]
Journal of Difference Equations and Applications. Roč. 13, č. 1 (2007), s. 63-78. ISSN 1023-6198. E-ISSN 1563-5120
Grant ostatní: GA AV ČR(CZ) IAA1163401
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: Wazewski * topological principle
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.928, rok: 2007
http://www.tandfonline.com/doi/full/10.1080/10236190601008703

An important and well known extension of the direct method of Lyapunov functions is a simple topological principle, in the geometrical theory of ordinary differential equations known as Wazewski´s principle. It is much less known that there is an old variant of this principle for difference equations stated by Coffman. In this paper we combine both methods to a method usable for dynamic systems on time scales and discuss some first results.

Zkoumá se použitelnost teorie Wazevského pro dynamické rovnice na time scalech, jsou položeny základy teorie a naznačeny možné aplikace v oblasti invariantních variet.
Trvalý link: http://hdl.handle.net/11104/0152950