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A remark on Liouville's formula on small time scales |
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| Authors: | Ladislav Adamec |
| Institution: | Department of Mathematics, Masaryk University, Janá?kovo nám 2a, 662 95, Brno, Czech Republic Mathematical Institute, Czech Academy of Sciences, ?i?kova 22, 616 62, Brno, Czech Republic |
| Abstract: | We present a new proof of the Liouville formula for a d-dimensional linear dynamic system xΔ=A(t)x on a time scale T, where T is in a sense small. Our proof demonstrates that Liouville's formula on small time scales is a direct consequence of its well-known counterpart for ordinary differential equations. |
| Keywords: | Time scales Liouville's formula Unification of difference and differential calculus |
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