Publication details
A Theorem of Wa\.zewski and Dynamic Equations on Time Scales
| Basic information | |
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| Original title: | A Theorem of Wa\.zewski and Dynamic Equations on Time Scales |
| Author: | Ladislav Adamec |
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| Citation: | ADAMEC, Ladislav. A Theorem of Wa\.zewski and Dynamic Equations
on Time Scales. Journal of Difference Equations and
Applications, Taylor and Francis, 2007, vol. 13, No 1, p.
63 -78. ISSN 1023-6198.Export BibTeX@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} } |
| 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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