{"id":33951,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/estudio-de-algunos-problemas-de-control-optimo-que-surgen-en-dinamica-de-poblaciones\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"estudio-de-algunos-problemas-de-control-optimo-que-surgen-en-dinamica-de-poblaciones","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estudio-de-algunos-problemas-de-control-optimo-que-surgen-en-dinamica-de-poblaciones\/","title":{"rendered":"Estudio de algunos problemas de control optimo que surgen en dinamica de poblaciones."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Montero Sanchez Juan  Aurelio <\/strong><\/h2>\n<p>El trabajo presentado versa sobre distintos aspectos relativos al control del beneficio de una o varias poblaciones de individuos. El caso de una poblaci\u00f3n se discute en el primer cap\u00edtulo. En dicho cap\u00edtulo se introducen condiciones necesarias para la existencia de control \u00f3ptimo (teorema 1.11) y condiciones necesarias y suficientes que garantizan beneficio positivo (teorema 1.12). Considerando el sistema de optimalidad asociado al problema se prueba la unidad de control \u00f3ptimo (theoremas 1.19 y 1.25) y se construyen convenientes sucesiones de funciones que aproximan al control \u00f3ptimo (theoremas 1.29 y 1.30). En la \u00faltima secci\u00f3n de este cap\u00edtulo se estudia el problema de control donde ahora la ecuaci\u00f3n de estado considerada se toma con condiciones de neumann (hasta ahora se hab\u00eda considerado condici\u00f3n tipo dirichlet). Los resultados de esta secci\u00f3n mejoran los obtenidos por los prof. A. Leung y s. Stojanovic (j.Math.Anal.Appl.,173 (1993),603-619). El cap\u00edtulo 2 extiende algunos de los resultados al caso de sistemas en derivadas parciales con dos ecuaciones. Mediante m\u00e9todos monotonos y un theorema de krasnoselskii de unicidad de puntos fijos para operadores concavos y monotonos se prueba la unicidad de soluci\u00f3n de dicho estado. Usado el sistema de optimalidad se prueba la unicidad del control \u00f3ptimo.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estudio de algunos problemas de control optimo que surgen en dinamica de poblaciones.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estudio de algunos problemas de control optimo que surgen en dinamica de poblaciones. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Montero Sanchez Juan  Aurelio <\/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>A. Ca\u00f1ada Villar<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Ovide Arino <\/li>\n<li>Enrique Zuazua Iriondo (vocal)<\/li>\n<li>Eduardo Casas Renteria (vocal)<\/li>\n<li>Suzanne Lenhart (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Montero Sanchez Juan Aurelio El trabajo presentado versa sobre distintos aspectos relativos al control del beneficio 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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3183,15084,126],"tags":[92122,10857,24518,92121,40429,92123],"class_list":["post-33951","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-ecuaciones-funcionales","category-matematicas","tag-a-canada-villar","tag-eduardo-casas-renteria","tag-enrique-zuazua-iriondo","tag-montero-sanchez-juan-aurelio","tag-ovide-arino","tag-suzanne-lenhart"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33951","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=33951"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/33951\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=33951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=33951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=33951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}