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A Theorem of Wa\.zewski and Dynamic Equations on Time Scales

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Original title:A Theorem of Wa\.zewski and Dynamic Equations on Time Scales
Author:Ladislav Adamec
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Original language:English
Field:General mathematics
Type:Article in Periodical
Keywords:time scales; topological principle; Wazewski's principle; unification of difference and differential calculus

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.

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