Analysis of the bilateral Laplace transform on time scales with applications
type: Item
instance of: scholarly article
title: Analysis of the bilateral Laplace transform on time scales with applications
zbMATH Open document ID: 1482.44002
DOI: 10.1504/IJDSDE.2021.117356
author: Tom Cuchta
author: Svetlin Georgiev
published in: International Journal of Dynamical Systems and Differential Equations
publication date: 2022-03-14T00:00:00Z
review text: Summary: The bilateral Laplace transform on time scales is investigated analytically and its absolute convergence, uniform convergence, and inversion integral are proven. Afterwards, a Fourier transform is defined and used to solve partial dynamic equations.
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 26E70
zbMATH DE Number: 7488806
zbMATH Keywords: time scales calculus
zbMATH Keywords: bilateral Laplace transform
zbMATH Keywords: Fourier transform
zbMATH Keywords: Hilger complex plane
zbMATH Keywords: Hilger circle
zbMATH Keywords: exponential order
zbMATH Keywords: region of convergence
zbMATH Keywords: first order partial dynamic equation
zbMATH Keywords: second order partial dynamic equation
Wikidata QID: Q115237331
MaRDI profile type: Publication
full work available at URL: ijdsde.2021.117356
OpenAlex ID: W4232701737
description: scientific article; zbMATH DE number 7488806