{"id":10517,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1996\/01\/01\/sobre-la-ecuacion-funcional-de-cauchy-condicionada-por-cuadrados-y-cubos\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"sobre-la-ecuacion-funcional-de-cauchy-condicionada-por-cuadrados-y-cubos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-la-ecuacion-funcional-de-cauchy-condicionada-por-cuadrados-y-cubos\/","title":{"rendered":"Sobre la ecuacion funcional de cauchy condicionada por cuadrados y cubos."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Martin Gutierrez M. Emma <\/strong><\/h2>\n<p>El objetivo de este trabajo es el estudio de algunos tipos de ecuaciones funcionales relacionadas con la ecuacion funcional de cauchy pero involucrando cuadrado y cubos como condicion de restriccion.En concreto se prueba la equiValencia entre la ec.F.  para cualquier entero m fijo (m -2) y la ec. F. De cauchy, cuando la estructura en la que se trabaje permita la division por numeros enteros no nulos, no dandose tal equiValencia en caso contrario, y como ejemplo se resuelve la misma ecuacion (con m=2 o 3) para funciones definidas sobre el anillo de polinomios con coeficientes enteros:      .  asi mismo se resuelve la ec.                        Para cualquier entero m  fijo (m -2) y para aplicaciones f:                  .  finalmente se describen todas las soluciones de las ecuaciones funcionales para funciones definidas entre un cuerpo finito cualquiera y el mismo, estando estas en la misma linea que las obtenidas por j. Salillas para el caso de cuadrados, pero presentandose varios casos excepcionales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre la ecuacion funcional de cauchy condicionada por cuadrados y cubos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre la ecuacion funcional de cauchy condicionada por cuadrados y cubos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Martin Gutierrez M. Emma <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Garcia Roig Jaime Luis<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Claudi Alsina Catala <\/li>\n<li> Fernandez Esteller Rosa M. (vocal)<\/li>\n<li> Barja Perez Jos\u00e9 M. (vocal)<\/li>\n<li>Jes\u00fas Salillas Cantarelo (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Martin Gutierrez M. Emma El objetivo de este trabajo es el estudio de algunos tipos de ecuaciones [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3183,15084,126,977],"tags":[35089,3602,35088,35087,35090,35086],"class_list":["post-10517","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-ecuaciones-funcionales","category-matematicas","category-santiago-de-compostela","tag-barja-perez-jose-m","tag-claudi-alsina-catala","tag-fernandez-esteller-rosa-m","tag-garcia-roig-jaime-luis","tag-jesus-salillas-cantarelo","tag-martin-gutierrez-m-emma"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/10517","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=10517"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/10517\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=10517"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=10517"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=10517"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}