{"id":34038,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-cualitativo-de-ecuaciones-diferenciales-con-termino-no-lineal-singular\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"estudio-cualitativo-de-ecuaciones-diferenciales-con-termino-no-lineal-singular","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estudio-cualitativo-de-ecuaciones-diferenciales-con-termino-no-lineal-singular\/","title":{"rendered":"Estudio cualitativo de ecuaciones diferenciales con termino no lineal singular."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Torres Villarroya Pedro Jose <\/strong><\/h2>\n<p>Se lleva a cabo un estudio de diversos aspectos cualitativos de ecuaciones diferenciales ordinarias singulares, entendiendo por tales la presencia de alg\u00fan tipo de discontinuidad en el t\u00e9rmino no lineal. Si la discontinuidad es esencial, nuestro estudio viene motivado por modelos de din\u00e1mica de part\u00edculas donde se presentan fuerzas de tipo gravitacional o el\u00e9ctrico. En el caso atractivo describimos la din\u00e1mica completa de la ecuaci\u00f3n de li\u00e9nard. En el caso repulsivo, se obtienen resultados de acotaci\u00f3n y estabilidad asint\u00f3tica global.  por \u00faltimo, se obtienen resultados de existencia de soluci\u00f3n peri\u00f3dica para un sistema de dos o tres part\u00edculas con carga el\u00e9ctrica.  por otra parte, si la discontinuidad es de salto entonces se hace necesario reformular el problema como una inclusi\u00f3n diferencial. Centramos nuestra atenci\u00f3n en una ecuaci\u00f3n con fricci\u00f3n seca, obteniendo resultados sobre existencia y multiplicidad de soluciones peri\u00f3dicas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio cualitativo de ecuaciones diferenciales con termino no lineal singular.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio cualitativo de ecuaciones diferenciales con termino no lineal singular. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Torres Villarroya Pedro Jose <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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>Pedro Martinez Amores<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Rafael Ortega Rios <\/li>\n<li>Fabio Zanolin (vocal)<\/li>\n<li>Patrick Habets (vocal)<\/li>\n<li>Gerardo Rodriguez Lopez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Torres Villarroya Pedro Jose Se lleva a cabo un estudio de diversos aspectos cualitativos de ecuaciones diferenciales [&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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