{"id":24962,"date":"2018-03-09T09:16:09","date_gmt":"2018-03-09T09:16:09","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/problema-variacional-multiple\/"},"modified":"2018-03-09T09:16:09","modified_gmt":"2018-03-09T09:16:09","slug":"problema-variacional-multiple","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sevilla\/problema-variacional-multiple\/","title":{"rendered":"Problema variacional m\u00faltiple"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Manuel Arana Jimenez <\/strong><\/h2>\n<p>La tesis, se estructura en 4 cap\u00edtulos.  en el primero de ellos, se aborda la b\u00fasqueda de las soluciones de los problemas de programaci\u00f3n multiobjetivo con restricciones incidiendo en la caracterizaci\u00f3n de las clases de funciones, que definen el problema para las cuales es posible garantizar que todo punto de ensilladura o punto estacionario es una soluci\u00f3n eficiente o d\u00e9bilmente eficiente.  se trata de extender al caso vectorial el resultado de martin, que prob\u00f3 que la kt-invexidad del problema escalar restringido es una condici\u00f3n necesaria y suficiente para que todo punto de kuhn-tucker sea soluci\u00f3n \u00f3ptima. Para ello, se utilizan los llamados puntos de ensilladura de kuhn-tucker y fritz. john que se definen adecuadamente para el caso multiobjetivo. Se introducen nuevas clases de funciones basadas en el concepto de invexidad generalizada para los problemas vectoriales y se obtienen resultados de dualidad d\u00e9bil, fuerte e inversa para una formulaci\u00f3n dual tipo mond-weir.  el cap\u00edtulo 2 trata de los problemas variacionales escalares. As\u00ed como los problemas de programaci\u00f3n matem\u00e1tica consisten en encontrar un punto que optimice la funci\u00f3n objetivo, en los problemas variacionales lo que se busca es una funci\u00f3n. En esta secci\u00f3n las soluciones \u00f3ptimas para el problema variacional escalar se estudian a trav\u00e9s de puntos cr\u00edticos, tal y como se hiciese con los problemas de programaci\u00f3n matem\u00e1tica y se define un tipo de funciones que da condiciones necesarias y suficientes para que un punto cr\u00edtico sea soluci\u00f3n \u00f3ptima de un problema variacional con restricciones de desigualdad. Tambi\u00e9n se demuestra que en el caso est\u00e1tico, es decir, cuando las funciones no dependen de la variable tiempo, los resultados obtenidos para problemas variacionales coinciden con los programaci\u00f3n matem\u00e1tica.  en el cap\u00edtulo 3 se estudian los problemas variacionales multiobjetivo como una generalizaci\u00f3n de los problemas variacionales escala<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Problema variacional m\u00faltiple<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Problema variacional m\u00faltiple <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Manuel Arana Jimenez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 21\/07\/2003<\/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>Antonio Rufi\u00e1n Lizana<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Antonio Pascual acosta <\/li>\n<li> Pastor ciurana Jes\u00fas pastor (vocal)<\/li>\n<li>marco Antonio L\u00f3pez cerd\u00e1 (vocal)<\/li>\n<li>Jorge Ollero hinojosa (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Manuel Arana Jimenez La tesis, se estructura en 4 cap\u00edtulos. en el primero de ellos, se aborda [&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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