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@article{937297,
author = {Adamec, Ladislav},
article_number = {5},
keywords = {time scales; dynamic equations; continuous dependence; Hausdorff metric},
language = {eng},
issn = {1023-6198},
journal = {Journal of Difference Equations and Applications},
title = {A Note on Continuous Dependence of Solutions of Dynamic Equations on Time Scales.},
volume = {17},
year = {2011}
}
TY - JOUR
ID - 937297
AU - Adamec, Ladislav
PY - 2011
TI - A Note on Continuous Dependence of Solutions of Dynamic Equations on Time Scales.
JF - Journal of Difference Equations and Applications
VL - 17
IS - 5
SP - 647-656
EP - 647-656
PB - Taylor and Francis
SN - 10236198
KW - time scales
KW - dynamic equations
KW - continuous dependence
KW - Hausdorff metric
N2 - 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.
ER -
ADAMEC, Ladislav. A Note on Continuous Dependence of Solutions of Dynamic Equations on Time Scales. \textit{Journal of Difference Equations and Applications}. Taylor and Francis, 2011, vol.~17, No~5, p.~647-656. ISSN~1023-6198.
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