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http://hdl.handle.net/10662/10291
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Campo DC | Valor | idioma |
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dc.contributor.author | Bouikhalene, Belaid | - |
dc.contributor.author | Elqorachi, Elhoucien | - |
dc.contributor.author | Charifi, A. | - |
dc.date.accessioned | 2020-02-07T09:53:19Z | - |
dc.date.available | 2020-02-07T09:53:19Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | http://hdl.handle.net/10662/10291 | - |
dc.description.abstract | We solve the functional equation E(α) : f(x₁x₂+ αy₁y₂, x₁y₂ + x₂y₁) + f(x₁x₂ ̶ αy₁y₂, x₂y₁ ̶ x₁y₂) = 2f(x₁, y₁)f(x₂, y₂), where (x₁, y₁), (x₂, y₂) ∈ ℝ², f : ℝ² → ℂ and α is a real parameter, on the monoid ℝ². Also we investigate the stability of this equation in the following setting: ⃒f(x₁x₂ + αy₁y₂, xy₂ + x₂y₁) + f(x₁x₂ ̶ αy₁y₂, x₂y₁ ̶ x₁y₂) ̶ 2f(x₁, y₁) f (x₂, y₂)⃒ ≤ min{φ(x₁), ψ(y₁), ϕ(x₂), ζ(y₂)}. From this result, we obtain the superstability of this equation. | es_ES |
dc.format.extent | 11 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | D'Alembert functional equation | es_ES |
dc.subject | Monoid ℝ² | es_ES |
dc.subject | Multiplicative function | es_ES |
dc.subject | Stability | es_ES |
dc.subject | Superstability | es_ES |
dc.subject | Ecuación funcional de D'Alembert | es_ES |
dc.subject | Monoide ℝ² | es_ES |
dc.subject | Función multiplicativa | es_ES |
dc.subject | Estabilidad | es_ES |
dc.subject | Superstabilidad | es_ES |
dc.title | On the approximate solution of D'Alembert type equation originating from number theory | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.08 Ecuaciones Funcionales | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | BOUIKHALENE, B., ELQORACHI, E., CHARIFI, A. (2013). On the approximate solution of D'Alembert type equation originating from number theory. Extracta Mathematicae 28 (2), 157-167. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Sultan Moulay Slimane University. Morocco | en_US |
dc.contributor.affiliation | Ibn Zohr University. Morocco | en_US |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 157 | es_ES |
dc.identifier.publicationlastpage | 167 | es_ES |
dc.identifier.publicationvolume | 28 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 28, nº 2 (2013) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_28_2_157.pdf | 95,33 kB | Adobe PDF | Descargar |
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