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Analogues of the Laplace Transform and Z-Transform with Piecewise Linear Kernels

School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia
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Academic Editor: Lorentz Jäntschi
Received: 13 July 2021 / Revised: 8 September 2021 / Accepted: 8 September 2021 / Published: 13 September 2021
(This article belongs to the Section Mathematical Sciences)
Two new transforms with piecewise linear kernels are introduced. These transforms are analogues of the classical Laplace transform and Z-transform. Properties of these transforms are investigated and applications to ordinary differential equations and integral equations are provided. This article is ideal for study as a foundational project in an undergraduate course in differential and/or integral equations. View Full-Text
Keywords: integral transform; piecewise linear kernel; Laplace transform; Z-transform; ordinary differential equation; integral equation integral transform; piecewise linear kernel; Laplace transform; Z-transform; ordinary differential equation; integral equation
MDPI and ACS Style

Rodrigo, M.R.; Li, M. Analogues of the Laplace Transform and Z-Transform with Piecewise Linear Kernels. Foundations 2021, 1, 99-115. https://0-doi-org.brum.beds.ac.uk/10.3390/foundations1010008

AMA Style

Rodrigo MR, Li M. Analogues of the Laplace Transform and Z-Transform with Piecewise Linear Kernels. Foundations. 2021; 1(1):99-115. https://0-doi-org.brum.beds.ac.uk/10.3390/foundations1010008

Chicago/Turabian Style

Rodrigo, Marianito R., and Mandy Li. 2021. "Analogues of the Laplace Transform and Z-Transform with Piecewise Linear Kernels" Foundations 1, no. 1: 99-115. https://0-doi-org.brum.beds.ac.uk/10.3390/foundations1010008

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