Publication details
Differentiation of solutions of dynamic equations on time scales with respect to parameters
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Advances in Dynamical Systems and Applications |
| MU Faculty or unit | |
| 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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