R.Hilscher, W.Kratz, V.Zeidan

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

Abstract

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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Last change: January 26, 2009. (c) Roman Hilscher