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@article{705227,
author = {Adamec, Ladislav},
article_number = {1},
keywords = {time scales; topological principle; Wazewski's principle; unification of difference and differential calculus},
language = {eng},
issn = {1023-6198},
journal = {Journal of Difference Equations and Applications},
title = {A Theorem of Wa\.zewski and Dynamic Equations on Time Scales},
volume = {13},
year = {2007}
}
TY - JOUR
ID - 705227
AU - Adamec, Ladislav
PY - 2007
TI - A Theorem of Wa\.zewski and Dynamic Equations on Time Scales
JF - Journal of Difference Equations and Applications
VL - 13
IS - 1
SP - 63-78
EP - 63-78
PB - Taylor and Francis
SN - 10236198
KW - time scales
KW - topological principle
KW - Wazewski's principle
KW - unification of difference and differential calculus
N2 - 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 Wa\.zewski'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.
ER -
ADAMEC, Ladislav. A Theorem of Wa$\backslash$.zewski and Dynamic Equations on Time Scales. \textit{Journal of Difference Equations and Applications}. Taylor and Francis, 2007, roč.~13, č.~1, s.~63-78. ISSN~1023-6198.
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