General solutions of some functional equations

In this paper, we determine the general solutions of the functional equation f(ux + (L − 1)vy, xv + yu + (L − 2)yv) = g(x, y) h(u, v), where f, g, h : K2 --- and gt; K are unknown functions and L in K* := K \ {0}, where K = R (resp. C) the real (resp. complexe) field. We also treat the functional eq...

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Autores:
Akkouchi, Mohamed
Rhali, Lalaoui
Tipo de recurso:
Article of journal
Fecha de publicación:
2005
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73535
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73535
http://bdigital.unal.edu.co/38011/
Palabra clave:
Functional equations
multiplicative functions
determinant of a matrix.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Akkouchi, Mohamed5dbd209d-fc25-446a-9d88-760ea260ba33300Rhali, Lalaoui578323d5-2b6e-4e4b-a60a-5f433f3bce043002019-07-03T16:29:09Z2019-07-03T16:29:09Z2005https://repositorio.unal.edu.co/handle/unal/73535http://bdigital.unal.edu.co/38011/In this paper, we determine the general solutions of the functional equation f(ux + (L − 1)vy, xv + yu + (L − 2)yv) = g(x, y) h(u, v), where f, g, h : K2 --- and gt; K are unknown functions and L in K* := K \ {0}, where K = R (resp. C) the real (resp. complexe) field. We also treat the functional equation f(ux + (L − 1)vy, xv + yu + (L − 2)yv, zw + (μ −1)ts, zs+tw+(μ−2)ts) = g(x, y, z, t) h(u, v,w, s), where f, g, h : K4 --- and gt; K are unknown functions. We do not require any continuity condition on the unknown functions. This paper may be considered as a continuation to the paper [2].application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40300Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 Boletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 2357-6529 0120-0380Akkouchi, Mohamed and Rhali, Lalaoui (2005) General solutions of some functional equations. Boletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 Boletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 2357-6529 0120-0380 .General solutions of some functional equationsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTFunctional equationsmultiplicative functionsdeterminant of a matrix.ORIGINAL40300-180848-1-PB.pdfapplication/pdf134203https://repositorio.unal.edu.co/bitstream/unal/73535/1/40300-180848-1-PB.pdff719731397e5fd866e8ba975ad173e00MD51THUMBNAIL40300-180848-1-PB.pdf.jpg40300-180848-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4754https://repositorio.unal.edu.co/bitstream/unal/73535/2/40300-180848-1-PB.pdf.jpgfe017e73b55e1aeba8f34eade708f56bMD52unal/73535oai:repositorio.unal.edu.co:unal/735352024-06-24 23:49:41.074Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv General solutions of some functional equations
title General solutions of some functional equations
spellingShingle General solutions of some functional equations
Functional equations
multiplicative functions
determinant of a matrix.
title_short General solutions of some functional equations
title_full General solutions of some functional equations
title_fullStr General solutions of some functional equations
title_full_unstemmed General solutions of some functional equations
title_sort General solutions of some functional equations
dc.creator.fl_str_mv Akkouchi, Mohamed
Rhali, Lalaoui
dc.contributor.author.spa.fl_str_mv Akkouchi, Mohamed
Rhali, Lalaoui
dc.subject.proposal.spa.fl_str_mv Functional equations
multiplicative functions
determinant of a matrix.
topic Functional equations
multiplicative functions
determinant of a matrix.
description In this paper, we determine the general solutions of the functional equation f(ux + (L − 1)vy, xv + yu + (L − 2)yv) = g(x, y) h(u, v), where f, g, h : K2 --- and gt; K are unknown functions and L in K* := K \ {0}, where K = R (resp. C) the real (resp. complexe) field. We also treat the functional equation f(ux + (L − 1)vy, xv + yu + (L − 2)yv, zw + (μ −1)ts, zs+tw+(μ−2)ts) = g(x, y, z, t) h(u, v,w, s), where f, g, h : K4 --- and gt; K are unknown functions. We do not require any continuity condition on the unknown functions. This paper may be considered as a continuation to the paper [2].
publishDate 2005
dc.date.issued.spa.fl_str_mv 2005
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:29:09Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:29:09Z
dc.type.spa.fl_str_mv Artículo de revista
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status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73535
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38011/
url https://repositorio.unal.edu.co/handle/unal/73535
http://bdigital.unal.edu.co/38011/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40300
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 Boletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Akkouchi, Mohamed and Rhali, Lalaoui (2005) General solutions of some functional equations. Boletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 Boletín de Matemáticas; Vol. 12, núm. 1 (2005); 57-62 2357-6529 0120-0380 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Boletín de Matemáticas
institution Universidad Nacional de Colombia
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