{"id":2986,"date":"1994-01-01T00:00:00","date_gmt":"1994-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1994\/01\/01\/estudio-de-soluciones-de-una-ecuacion-diferencial-ordinaria-por-medio-del-poligono-de-newton\/"},"modified":"1994-01-01T00:00:00","modified_gmt":"1994-01-01T00:00:00","slug":"estudio-de-soluciones-de-una-ecuacion-diferencial-ordinaria-por-medio-del-poligono-de-newton","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estudio-de-soluciones-de-una-ecuacion-diferencial-ordinaria-por-medio-del-poligono-de-newton\/","title":{"rendered":"Estudio de soluciones de una ecuacion diferencial ordinaria por medio del poligono de newton."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Farto Alvarez Jos\u00e9 Miguel <\/strong><\/h2>\n<p>Se describe el proceso de resolucion de un polinomio diferencial buscando por coeficientes indeterminados soluciones que sean series de puiseux. Para ello se emplea la construccion del poligono de newton, estudiando el efecto de ciertos cambios de variable sobre dicho poligono. Las tecnicas empleadas permiten dar un concepto combinatorio de multiplicidad, probandose con posterioridad que es intrinseco por coincidir con una nocion diferencial de multiplicidad.  tambien se trata el calculo efectivo de soluciones, describiendose detalladamente el caso de orden y grado1. Se inicia el estudio en casos mas generales, haciendo hincapie en las situaciones \u00abdicriticas\u00bb, caracterizadas por la posible existencia de infinitas soluciones.  se abordan problemas de indole computacional estudiando truncaciones y se introduce la idea de truncacion dinamica orientada entre otras cosas a la optimizacion de calculos. Por ultimo se presenta el programa polidif (c) realizado en maple v con las tecnicas presentadas en la memoria.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio de soluciones de una ecuacion diferencial ordinaria por medio del poligono de newton.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio de soluciones de una ecuacion diferencial ordinaria por medio del poligono de newton. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Farto Alvarez Jos\u00e9 Miguel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1994<\/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>Jos\u00e9 Manuel Aroca Hernandez Ros<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Tomas Recio Mu\u00f1iz <\/li>\n<li>Julio Castellanos Pe\u00f1uela (vocal)<\/li>\n<li>Felipe Cano Torres (vocal)<\/li>\n<li>Ignacio Luengo Velasco (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Farto Alvarez Jos\u00e9 Miguel Se describe el proceso de resolucion de un polinomio diferencial buscando por coeficientes [&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 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