The Laplace transform on time scales revisited
type: Item
instance of: scholarly article
title: The Laplace transform on time scales revisited
zbMATH Open document ID: 1120.44001
author: Ian A. Gravagne
author: Billy J. Jackson
author: Alice A. Ramos
author: John M. Davis
author: Robert J. II. Marks
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-06-06T00:00:00Z
review text: The authors quantify a subset of the complex plane for which the time scale Laplace transforms of the time scale functions of exponential type II exist. Moreover, they provide an inversion formula and a convolution for the time scale Laplace transform, and investigate some related properties. Particularly, in terms of the time scale Dirac delta functional, the identity element for the convolution is determined. Some illustrative examples are given.
reviewed by: Jin Liang
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 5161774
zbMATH Keywords: time scales
zbMATH Keywords: time scale Laplace transform
zbMATH Keywords: convolution
zbMATH Keywords: inversion formula
zbMATH Keywords: time scale Dirac delta functional
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.10.089
OpenAlex ID: W1997916828
cites work: Q5522584
cites work: Q2723195
cites work: Q4462032
cites work: Integration on time scales.
cites work: A spectral characterization of exponential stability for linear time-invariant systems on time scales
DOI: 10.1016/J.JMAA.2006.10.089
description: scientific article; zbMATH DE number 5161774