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Generalized Laplace transform of locally integrable functions defined on [0,∞)
dc.contributor | Milovanović, Gradimir V. | |
dc.creator | Stanković, Bogoljub | |
dc.date.accessioned | 2024-03-06T13:21:52Z | |
dc.date.available | 2024-03-06T13:21:52Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 0561-7332 | |
dc.identifier.uri | https://dais.sanu.ac.rs/123456789/16442 | |
dc.description.abstract | In [Bull. Cl. Sci. Math. Nat. Sci. Math. 40 (2015), 99 − 113] we defined the Laplace transform on a bounded interval [0, b], denoted by 0L, using some ideas of H. Komatsu [J. Fac. Sci. Univ. Tokyo, IA, 34 (1987), 805–820] and [Structure of solutions of differential equations (Katata/Kyoto, 1995), pp. 227–252, World Sci. Publishing, River Edge, NJ, 1996]. We use this definition to extend it to the space of locally integrable functions defined on [0,1), which is a wider class then functions L used by G. Doetsch [Handbuch der Lalace-Transformation I, Basel – Stuttgart, 1950 − 1956, p. 32]. As an application we give solutions of integral equations of the convolution type, defined on a bounded interval, or on the half-axis as well, and of equations with fractional derivatives. | sr |
dc.language.iso | en | sr |
dc.publisher | Beograd : Académie Serbe des sciences et des arts | sr |
dc.rights | openAccess | sr |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Bulletin T.CL de l’Académie serbe des sciences et des arts | sr |
dc.subject | Space of locally integrable functions | sr |
dc.subject | Laplace transform of functions belonging to L[0, b], 0 < b <∞ ; | sr |
dc.subject | Laplace transform of locally integrable functions [0,∞). | sr |
dc.title | Generalized Laplace transform of locally integrable functions defined on [0,∞) | sr |
dc.type | article | sr |
dc.rights.license | BY-NC-ND | sr |
dc.citation.spage | 41 | |
dc.citation.epage | 52 | |
dc.description.other | Bulletin t. 150 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 42. | sr |
dc.type.version | publishedVersion | sr |
dc.identifier.fulltext | http://dais.sanu.ac.rs/bitstream/id/65367/bitstream_65367.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_dais_16442 |
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Classe des sciences mathematiques et naturelles
ISSN 0561-7332