On uniqueness of the Laplace transform on time scales

Details On uniqueness of the Laplace transform on time scales On uniqueness of the Laplace transform on time scales

2011-02-28

arxiv.org/abs/1102.5590v1

Mathematics

Classical Analysis and ODEs

Scientific paper

After introducing the concept of null functions, we shall present a
uniqueness result in the sense of the null functions for the Laplace transform
on time scales with arbitrary graininess. The result can be regarded as a
dynamic extension of the well-known Lerch's theorem.

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