The Laplace Transform on Isolated Time Scales
| dc.contributor.author | Bohner, Martin | |
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.date.accessioned | 2024-07-05T15:16:05Z | |
| dc.date.available | 2024-07-05T15:16:05Z | |
| dc.date.issued | 2010 | |
| dc.description | Bohner, Martin/0000-0001-8310-0266 | en_US |
| dc.description.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. | en_US |
| dc.identifier.doi | 10.1016/j.camwa.2010.06.037 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.issn | 1873-7668 | |
| dc.identifier.scopus | 2-s2.0-77956059597 | |
| dc.identifier.uri | https://doi.org/10.1016/j.camwa.2010.06.037 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1594 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Computers & Mathematics with Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Isolated time scales | en_US |
| dc.subject | Laplace transform | en_US |
| dc.subject | Convolution | en_US |
| dc.subject | Shift | en_US |
| dc.subject | Inverse transform | en_US |
| dc.title | The Laplace Transform on Isolated Time Scales | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Bohner, Martin/0000-0001-8310-0266 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Bohner, Martin] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65401 USA; [Guseinov, Gusein Sh.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.endpage | 1547 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 1536 | en_US |
| gdc.description.volume | 60 | en_US |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Isolated time scales | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Shift | |
| gdc.oaire.keywords | Convolution | |
| gdc.oaire.keywords | Inverse transform | |
| gdc.oaire.keywords | Real analysis on time scales or measure chains | |
| gdc.oaire.keywords | shift | |
| gdc.oaire.keywords | inverse transform | |
| gdc.oaire.keywords | Dynamic equations on time scales or measure chains | |
| gdc.oaire.keywords | isolated time scales | |
| gdc.oaire.keywords | convolution | |
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| gdc.virtual.author | Hüseyin, Hüseyin Şirin | |
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