Differentiation of solutions of dynamic equations on time scales with respect to parameters

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Authors

ŠIMON HILSCHER Roman KRATZ Werner ZEIDAN Vera Michel

Year of publication 2009
Type Article in Periodical
Magazine / Source Advances in Dynamical Systems and Applications
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Time scale; Embedding theorem; Differentiation with respect to parameters; Entire function; Complex domain
Description 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.
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