{"id":133964,"date":"1997-01-01T00:00:00","date_gmt":"1997-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-topologicos-y-variacionales-en-el-estudio-de-soluciones-positivas-para-ecuaciones-diferenciales-e-integrales-no-lineales-con-aplicaciones-a-la-biologia\/"},"modified":"1997-01-01T00:00:00","modified_gmt":"1997-01-01T00:00:00","slug":"metodos-topologicos-y-variacionales-en-el-estudio-de-soluciones-positivas-para-ecuaciones-diferenciales-e-integrales-no-lineales-con-aplicaciones-a-la-biologia","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-topologicos-y-variacionales-en-el-estudio-de-soluciones-positivas-para-ecuaciones-diferenciales-e-integrales-no-lineales-con-aplicaciones-a-la-biologia\/","title":{"rendered":"Metodos topologicos y variacionales en el estudio de soluciones positivas para ecuaciones diferenciales e integrales no lineales con aplicaciones a la biolog\u00eda."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Abderrahim Zertiti <\/strong><\/h2>\n<p>La tesis se divide en dos partes.La primera de ellas trata de una clase de ecuaciones integrales que surgen en dinamica de poblaciones. Se prueba la existencia de soluciones positivas bajo una hipotesis de monotonia usando sub- y super-soluciones. Dicha restriccion de monotonia desaparece en el tratamiento subsiguiente con metodos topologicos. Aparece tambien una conveniente extension de los metodos de monotonia y topologicos al caso de sistemas de ecuaciones.  la segunda parte trata de ecuaciones elipticas no-lineales en las que se tratan diferentes problemas, el primero de ellos con una no-linealidad de tipo no-positon, es decir, cuando la no-linealidad en cero es negativa. En este problema se discute la existencia de soluciones para tales no-linealidades, cuando el dominio es una corona.  el segundo de ellos trata de problemas elipticos con una no-linealidad discontinua y un dominio que es el exterior de una bola euclidea. Por ultimo, se estudia un operador de tipo \u00abdegenerado\u00bb, resultando un problema de tipo \u00abquasilineal\u00bb. Se usan espacios de sobolev con peso, asi como metodos variacionales para probar la existencia de solucion para tales problemas.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos topologicos y variacionales en el estudio de soluciones positivas para ecuaciones diferenciales e integrales no lineales con aplicaciones a la biolog\u00eda.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos topologicos y variacionales en el estudio de soluciones positivas para ecuaciones diferenciales e integrales no lineales con aplicaciones a la biolog\u00eda. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Abderrahim Zertiti <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1997<\/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>David Arcoya Alvarez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  De Guzman Ozamiz Miguel <\/li>\n<li>Ireneo Peral Alonso (vocal)<\/li>\n<li>Antonio Ambrosetti (vocal)<\/li>\n<li>Pavel Drabek (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Abderrahim Zertiti La tesis se divide en dos partes.La primera de ellas trata de una clase de [&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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