Unilateral Laplace Transforms on Time Scales

Müfit Şan; Manuel D. Ortigueira

doi:10.3390/math10234552

Unilateral Laplace Transforms on Time Scales

Müfit Şan, Manuel D. Ortigueira

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Abstract

We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties. We also present the corresponding inverse integrals and some examples.

Original language	English
Article number	4552
Number of pages	21
Journal	Mathematics
Volume	10
Issue number	23
DOIs	https://doi.org/10.3390/math10234552
Publication status	Published - 1 Dec 2022

Keywords

delta derivative
delta exponential
discrete Laplace transform
nabla derivative
nabla exponential
time scale

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Unilateral Laplace Transforms on Time ScalesFinal published version, 430 KBLicence: CC BY

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title = "Unilateral Laplace Transforms on Time Scales",

abstract = "We review the direct and inverse Laplace transforms on non-uniform time scales. We introduce full backward-compatible unilateral Laplace transforms and studied their properties. We also present the corresponding inverse integrals and some examples.",

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KW - delta derivative

KW - delta exponential

KW - discrete Laplace transform

KW - nabla derivative

KW - nabla exponential

KW - time scale

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Unilateral Laplace Transforms on Time Scales

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