ŘEHÁK, Pavel. Regular variation on time scales and dynamic equations. The Australian Journal of Mathematical Analysis and Applications. Victoria, Austrálie: Australian Internet Publishing, 2008, roč. 5, č. 2, s. 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, roč.~5, č.~2, s.~1-10. ISSN~1449-5910.
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