The Laplace Transform on Isolated Time Scales
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Date
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
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No
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Average
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Top 10%
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Top 10%
Abstract
Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the Laplace transform on isolated time scales, prove several properties of the Laplace transform in this case, and establish a formula for the inverse Laplace transform. The concept of convolution is considered in more detail by proving the convolution theorem and a discrete analogue of the classical theorem of Titchmarsh for the usual continuous convolution. (C) 2010 Elsevier Ltd. All rights reserved.
Description
Bohner, Martin/0000-0001-8310-0266
ORCID
Keywords
Isolated time scales, Laplace transform, Convolution, Shift, Inverse transform, Computational Mathematics, Computational Theory and Mathematics, Laplace transform, Isolated time scales, Modelling and Simulation, Shift, Convolution, Inverse transform, Real analysis on time scales or measure chains, shift, inverse transform, Dynamic equations on time scales or measure chains, isolated time scales, convolution
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
12
Source
Computers & Mathematics with Applications
Volume
60
Issue
6
Start Page
1536
End Page
1547
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Citations
CrossRef : 8
Scopus : 16
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Mendeley Readers : 6
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