{"id":39333,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/problemas-de-frontera-para-ecuaciones-diferenciales-ordinarias-discontinuas\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"problemas-de-frontera-para-ecuaciones-diferenciales-ordinarias-discontinuas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/problemas-de-frontera-para-ecuaciones-diferenciales-ordinarias-discontinuas\/","title":{"rendered":"Problemas de frontera para ecuaciones diferenciales ordinarias discontinuas."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Rodrigo Lopez Pouso <\/strong><\/h2>\n<p>La tesis est\u00e1 dedicada al estudio de cierto tipo de ecuaciones diferenciales que tienen la particularidad que pueden presentar discontinuidades. dichas ecuaciones est\u00e1n sujetas a distintos tipos de condiciones en la frontera. es de resaltar el inter\u00e9s, no s\u00f3lo te\u00f3rico, de dichos problemas, sino tambi\u00e9n aplicado, en especial en el estudio de distintos sistemas din\u00e1micos no necesariamente continuos en su evoluci\u00f3n.  el primer cap\u00edtulo est\u00e1 dedicado a introducir y recordar una serie de resultados conocidos que ser\u00e1n usados a lo largo de la memoria.  el segundo cap\u00edtulo trata aspectos, algunos de ellos novedosos, de las ecuaciones diferenciales discontinuas de primer orden abordando en primer lugar la existencia de soluci\u00f3n para problemas de valores iniciales. a continuaci\u00f3n se desarrolla el m\u00e9todo de las subsoluciones y sobresoluciones (cuando las mismas est\u00e1n ordenadas) y el m\u00e9todo mon\u00f3tono. Se prueban resultados que generalizan dicho m\u00e9todo mon\u00f3tono y se aborda la cuesti\u00f3n de la existencia de soluci\u00f3n cuando la subsoluci\u00f3n y la sobresoluci\u00f3n no est\u00e1n ordenadas. Tambi\u00e9n en este cap\u00edtulo se consideran sistemas de ecuaciones diferenciales as\u00ed como problemas de frontera de tipo no lineal.  el tercer, y \u00faltimo, cap\u00edtulo se dedica al estudio de las ecuaciones de segundo orden y, especialmente la versi\u00f3n unidimensional del p-laplaciano. Se consideran por separado los casos en los que las subsoluci\u00f3n y la sobresoluci\u00f3n est\u00e1n en el orden habitual y en el inverso. Se obtienen resultados diversos para el problema de neumann y el problema peri\u00f3dico.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Problemas de frontera para ecuaciones diferenciales ordinarias discontinuas.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Problemas de frontera para ecuaciones diferenciales ordinarias discontinuas. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Rodrigo Lopez Pouso <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Santiago de compostela<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1999<\/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>Alberto Cabada Fernandez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: gerardo Rodriguez lopez <\/li>\n<li>Rafael Ortega rios (vocal)<\/li>\n<li>patrick Habets (vocal)<\/li>\n<li>Luis Sanchez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Rodrigo Lopez Pouso La tesis est\u00e1 dedicada al estudio de cierto tipo de ecuaciones diferenciales que tienen [&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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