The Laplace transform on isolated time scales
| dc.authorid | Bohner, Martin/0000-0001-8310-0266 | |
| dc.authorscopusid | 7006400381 | |
| dc.authorscopusid | 25026129500 | |
| dc.authorwosid | Bohner, Martin/C-6877-2011 | |
| dc.contributor.author | Hüseyin, Hüseyin Şirin | |
| dc.contributor.author | Guseinov, Gusein Sh. | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T15:16:05Z | |
| dc.date.available | 2024-07-05T15:16:05Z | |
| dc.date.issued | 2010 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [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 |
| 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.citation | 10 | |
| dc.identifier.doi | 10.1016/j.camwa.2010.06.037 | |
| dc.identifier.endpage | 1547 | en_US |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.issn | 1873-7668 | |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.scopus | 2-s2.0-77956059597 | |
| dc.identifier.startpage | 1536 | en_US |
| 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.identifier.volume | 60 | en_US |
| dc.identifier.wos | WOS:000281979800003 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| 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 | |
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