1Masaryk University, Department of Mathematics and Statistics, Faculty of Science Kotla´ˇrsk´, a 2, CZ-61137 Brno, Czech Republic.
2Michigan State University, Department of Mathematics, East Lansing, MI, 48824, USA.
3University of Ulm, Institute of Applied Analysis, D-89069Ulm, Germany.
AMS Subject Classifications: 34A12, 34K99, 39A12.
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 frst 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.
Time scale, embedding theorem, differentiation with respect to parameters, entire function, complex domain
