| ŘEHÁK, Pavel. Regular variation on time scales and dynamic equations. The Australian Journal of Mathematical Analysis and Applications. Victoria, Austrálie: Australian Internet Publishing, 2008, vol. 5, No 2, p. 1-10. ISSN 1449-5910. |
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@article{785826,
author = {Řehák, Pavel},
article_location = {Victoria, Austrálie},
article_number = {2},
keywords = {Time scale; Regularly varying function; Karamata function; Regularly varying sequence; Differential equation; Difference equation; Dynamic equation.},
language = {eng},
issn = {1449-5910},
journal = {The Australian Journal of Mathematical Analysis and Applications},
title = {Regular variation on time scales and dynamic equations},
volume = {5},
year = {2008}
}
TY - JOUR
ID - 785826
AU - Řehák, Pavel
PY - 2008
TI - Regular variation on time scales and dynamic equations
JF - The Australian Journal of Mathematical Analysis and Applications
VL - 5
IS - 2
SP - 1-10
EP - 1-10
PB - Australian Internet Publishing
SN - 14495910
KW - Time scale
KW - Regularly varying function
KW - Karamata function
KW - Regularly varying sequence
KW - Differential equation
KW - Difference equation
KW - Dynamic equation.
N2 - The purpose of this paper is twofold. First, we want to initiate a study of regular variation on time scales by introducing this concept in such a way that it unifies and extends well studied continuous and discrete cases. Some basic properties of regularly varying functions on time scales will be established as well. Second, we give conditions under which certain solutions of linear second order dynamic equations are regularly varying. Open problems and possible directions for a future research are discussed, too.
ER -
ŘEHÁK, Pavel. Regular variation on time scales and dynamic equations. \textit{The Australian Journal of Mathematical Analysis and Applications}. Victoria, Austrálie: Australian Internet Publishing, 2008, vol.~5, No~2, p.~1-10. ISSN~1449-5910.
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