A Note on Continuous Dependence of Solutions of Dynamic Equations on Time Scales.

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Authors

ADAMEC Ladislav

Year of publication 2011
Type Article in Periodical
Magazine / Source Journal of Difference Equations and Applications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords time scales; dynamic equations; continuous dependence; Hausdorff metric
Description We give a precise formulation and a proof as constructive as possible of the widely accepted claim that solutions of a dynamic equation depend continuously on the base time scale. Our approach to this problem is via Euler polygons which opens possibilities for development of numerical analysis of dynamic equations on time scales.
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