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@article{842119,
author = {Šimon Hilscher, Roman and Kratz, Werner and Zeidan, Vera Michel},
article_location = {Delhi (Indie)},
article_number = {1},
keywords = {Time scale; Embedding theorem; Differentiation with respect to parameters; Entire function; Complex domain},
language = {eng},
issn = {0973-5321},
journal = {Advances in Dynamical Systems and Applications},
title = {Differentiation of solutions of dynamic equations on time scales with respect to parameters},
volume = {4},
year = {2009}
}
TY - JOUR
ID - 842119
AU - Šimon Hilscher, Roman - Kratz, Werner - Zeidan, Vera Michel
PY - 2009
TI - Differentiation of solutions of dynamic equations on time scales with respect to parameters
JF - Advances in Dynamical Systems and Applications
VL - 4
IS - 1
SP - 35-54
EP - 35-54
PB - Research India Publications
SN - 09735321
KW - Time scale
KW - Embedding theorem
KW - Differentiation with respect to parameters
KW - Entire function
KW - Complex domain
N2 - In this paper we prove the differentiability properties of solutions of nonlinear dynamic equations on time scales with respect to parameters. This complements the previous work of the first and third authors regarding the existence and continuity of solutions with respect to parameters. In addition, we treat separately time scale dynamic equations which are linear with respect to the unknown function and the parameter. For this case we derive an improved result which says that the solution is an entire function of the parameter.
ER -
ŠIMON HILSCHER, Roman, Werner KRATZ a Vera Michel ZEIDAN. Differentiation of solutions of dynamic equations on time scales with respect to parameters. \textit{Advances in Dynamical Systems and Applications}. Delhi (Indie): Research India Publications, roč.~4, č.~1, s.~35-54. ISSN~0973-5321. 2009.
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