{"id":49290,"date":"2021-02-24T16:04:47","date_gmt":"2021-02-24T16:04:47","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/existencia-de-soluciones-periodicas-de-ecuaciones-diferenciales-no-lineales-en-resonancia\/"},"modified":"2021-02-24T16:04:47","modified_gmt":"2021-02-24T16:04:47","slug":"existencia-de-soluciones-periodicas-de-ecuaciones-diferenciales-no-lineales-en-resonancia","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/existencia-de-soluciones-periodicas-de-ecuaciones-diferenciales-no-lineales-en-resonancia\/","title":{"rendered":"Existencia de soluciones periodicas de ecuaciones diferenciales no lineales en resonancia"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Antonio Ca\u00f1ada Villar <\/strong><\/h2>\n<p>Se estudia la existencia de soluciones periodicas de tres tipos de ecuaciones diferenciales: ecuaciones diferenciales ordinarias  ecuaciones diferenciales funcionales con retraso y ecuaciones diferenciales funcionales de tipo neutro  en el caso en que la parte lineal de la ecuacion admitesoluciones periodicas no triviales (resonancia). Las principales hipotesis impuestas al termino no lineal son de dos clases: una condicion de crecimiento que incluye los casos en que este termino es acotado  asintotico a cero y de tipo exponencial  y una condicion asintotica que generaliza en el caso escalar las condiciones clasicas de landesman-lazer (nonlinear perturbations of unear ellitic boundary value problems at resonance. J. Math. Mech. 19 (1970)  609-623). En la demostracion de los resultados se utiliza la teoria del grado de coincidencia de j. Mawhin (equivalence theorems for monlinear operator equations and coincidence oegree theory for some mappingsin locally convex topological vector spaces. J. D. Equs. 12  (1.972) 610-636).<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Existencia de soluciones periodicas de ecuaciones diferenciales no lineales en resonancia<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Existencia de soluciones periodicas de ecuaciones diferenciales no lineales en resonancia <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Antonio Ca\u00f1ada Villar <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1982<\/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: Mar\u00eda no Gasca Gonzalez <\/li>\n<li>Gerardo Rodriguez Lopez (vocal)<\/li>\n<li> De Castro Brzezicki Antonio (vocal)<\/li>\n<li> Guzman Ozamiz Miguel De (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Antonio Ca\u00f1ada Villar Se estudia la existencia de soluciones periodicas de tres tipos de ecuaciones diferenciales: 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 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