{"id":20751,"date":"2023-07-14T17:47:16","date_gmt":"2023-07-14T15:47:16","guid":{"rendered":"https:\/\/www.ummto.dz\/fs\/?p=20751"},"modified":"2023-07-14T17:47:54","modified_gmt":"2023-07-14T15:47:54","slug":"avis-de-soutenance-de-doctorat-en-mathematiques-de-chebab-mesbah","status":"publish","type":"post","link":"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-de-doctorat-en-mathematiques-de-chebab-mesbah\/","title":{"rendered":"Avis de soutenance de Doctorat en Math\u00e9matiques de CHEBAB Mesbah"},"content":{"rendered":"<p>[et_pb_section fb_built=\u00a0\u00bb1&Prime; theme_builder_area=\u00a0\u00bbpost_content\u00a0\u00bb _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb][et_pb_row _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb theme_builder_area=\u00a0\u00bbpost_content\u00a0\u00bb][et_pb_column type=\u00a0\u00bb4_4&Prime; _builder_version=\u00a0\u00bb4.20.4&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb global_colors_info=\u00a0\u00bb{}\u00a0\u00bb theme_builder_area=\u00a0\u00bbpost_content\u00a0\u00bb][et_pb_accordion open_toggle_text_color=\u00a0\u00bb#E02B20&Prime; _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb toggle_text_color=\u00a0\u00bb#E02B20&Prime; toggle_font=\u00a0\u00bb|700|||||||\u00a0\u00bb toggle_font_size=\u00a0\u00bb20px\u00a0\u00bb body_font=\u00a0\u00bb|600|||||||\u00a0\u00bb body_text_align=\u00a0\u00bbjustify\u00a0\u00bb body_text_color=\u00a0\u00bb#000000&Prime; text_orientation=\u00a0\u00bbjustified\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; box_shadow_style=\u00a0\u00bbpreset6&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb theme_builder_area=\u00a0\u00bbpost_content\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;][et_pb_accordion_item title=\u00a0\u00bbAvis de soutenance de Doctorat en Math\u00e9matiques\u00a0\u00bb open=\u00a0\u00bbon\u00a0\u00bb _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb hover_enabled=\u00a0\u00bb0&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb theme_builder_area=\u00a0\u00bbpost_content\u00a0\u00bb sticky_enabled=\u00a0\u00bb0&Prime;]<\/p>\n<p><span style=\"color: #0000ff\"><b>Monsieur Mesbah CHEBAB<\/b><\/span><\/p>\n<p><b>Soutiendra publiquement sa th\u00e8se de Doctorat 3\u00e8me cycle LMD en Math\u00e9matiques<\/b><\/p>\n<p><b>Intitul\u00e9: \u00ab<span style=\"color: #0000ff\">Sur les solutions asymptotiques p\u00e9riodiques, presque p\u00e9riodiques de certaines \u00e9quations diff\u00e9rentielles \u00e0 retard\u00a0<\/span><\/b><span style=\"font-weight: 400\">\u00bb<\/span><\/p>\n<p><b>Le jeudi\u00a0 <span style=\"color: #ff0000\">20 Juillet 2023<\/span>\u00a0\u00e0 la salle de conf\u00e9rences de la Facult\u00e9 des Sciences \u00e0<\/b> <span style=\"color: #ff0000\"><b>09h :00<\/b><\/span><\/p>\n<p><b>Directrice de Th\u00e8se : <span style=\"color: #0000ff\">Pr. Fatiha BOULAHIA (Univ. Bejaia).<\/span><\/b><\/p>\n<p><span style=\"color: #000000\"><b>T\u00e9l\u00e9charger l&rsquo;<a href=\"https:\/\/www.ummto.dz\/fs\/wp-content\/uploads\/2023\/07\/Avis-de-Soutenance-de-Mr.-CHEBAB-Mesbah-2.docx.pdf\" rel=\"attachment noopener wp-att-20747\" target=\"_blank\">avis de Soutenance de Mr. CHEBAB Mesbah<\/a><\/b><\/span><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbR\u00e9sum\u00e9 de la th\u00e8se en Francais\u00a0\u00bb _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb body_font=\u00a0\u00bb|600|||||||\u00a0\u00bb body_text_color=\u00a0\u00bb#000000&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb theme_builder_area=\u00a0\u00bbpost_content\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb]<\/p>\n<p><span style=\"font-weight: 400\">Cette th\u00e8se est d\u00e9di\u00e9e \u00e0 l&rsquo;\u00e9tude de deux type d\u2019\u00e9quations diff\u00e9rentielles \u00e0 savoir\u00a0: un syst\u00e8me de r\u00e9seaux de neurones et une \u00e9quation de Nicholson avec un terme r\u00e9colte.<\/span><\/p>\n<p><span style=\"font-weight: 400\">On a d\u2019abord consid\u00e9r\u00e9 un mod\u00e8le de r\u00e9seaux de neurones avec retards mixtes quand les fonctions d\u2019activations sont asymptotiquement w-\u00e9riodiques et H\u00f6lderiennes. \u00a0 Gr\u00e2ce au th\u00e9or\u00e8me du point fixe de Schauder et les propri\u00e9t\u00e9s des fonctions limites p\u00e9riodiques on a montr\u00e9 l\u2019existence d\u2019au moins une solution asymptotiquement w-p\u00e9riodique et on a \u00e9tudi\u00e9 la stabilit\u00e9 asymptotique et exponentielle de ce dernier. Ensuite, un r\u00e9sultat d\u2019existence et d\u2019unicit\u00e9 de solutions S-asymptotiquement w-p\u00e9riodiques est \u00e9tabli pour le m\u00eame mod\u00e8le quand les fonctions d\u2019activations sont S-aymptotiquement w-p\u00e9riodiques et Lipschitziennes.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Par la suite, on a montr\u00e9 l\u2019existence et l\u2019unicit\u00e9 de solutions pseudo presque p\u00e9riodique d\u2019une \u00e9quation de Nicholson \u00e0 coefficients Stepanov pseudo-presque p\u00e9riodiques avec un terme r\u00e9colte.<\/span><\/p>\n<p><b>Mot cl\u00e9s\u00a0: <\/b><span style=\"font-weight: 400\">syst\u00e8me diff\u00e9rentiel \u00e0 retard, r\u00e9seaux de neurones, fonctions asymptotiquement p\u00e9riodiques, fonctions <\/span><span style=\"font-weight: 400\">H\u00f6lderiennes<\/span><span style=\"font-weight: 400\">, \u00e9quation de Nicholson,\u00a0 fonctions Stepanov pseudo presque p\u00e9riodiques<\/span><\/p>\n<p>[\/et_pb_accordion_item][et_pb_accordion_item title=\u00a0\u00bbR\u00e9sum\u00e9 de la th\u00e8se en Anglais\u00a0\u00bb _builder_version=\u00a0\u00bb4.21.0&Prime; _module_preset=\u00a0\u00bbdefault\u00a0\u00bb body_font=\u00a0\u00bb|600|||||||\u00a0\u00bb body_text_color=\u00a0\u00bb#000000&Prime; global_colors_info=\u00a0\u00bb{}\u00a0\u00bb theme_builder_area=\u00a0\u00bbpost_content\u00a0\u00bb open=\u00a0\u00bboff\u00a0\u00bb]<\/p>\n<p><strong>Abstract: <\/strong><\/p>\n<p><span style=\"font-weight: 400\">This thesis is dedicated to the study of two types of differential equations: a system of neural networks and a Nicholson equation with a harvesting term.<\/span><\/p>\n<p><span style=\"font-weight: 400\">First, we studied a mixed delays neural networks with asymptotically w-periodic and h\u00f6lderian activation functions. Thanks to Schauder&rsquo;s fixed point theorem and properties of limit periodic functions we have shown the existence of at least one asymptotically w-periodic solution.\u00a0 We have also studied its asymptotic and exponential stability. A result of existence and uniqueness of S-asymptotically w-periodic solutions is established for the same model when the activation functions are S-asymptotically w-periodic and Lipschitzian.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Afterwards, we have shown the existence and uniqueness of pseudo almost periodic solutions for a Nicholson equation with Stepanov pseudo almost periodic coefficients and harvesting term.<\/span><\/p>\n<p style=\"text-align: justify\"><b>Key words:<\/b><span style=\"font-weight: 400\">\u00a0 differential systems with delays, neural networks, <\/span><span style=\"font-weight: 400\">h\u00f6ld<\/span><span style=\"font-weight: 400\">erian functions, asymptotically periodic functions, Nicholson equation, Stepanov pseudo almost periodic functions<\/span><\/p>\n<p>[\/et_pb_accordion_item][\/et_pb_accordion][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Monsieur Mesbah CHEBAB Soutiendra publiquement sa th\u00e8se de Doctorat 3\u00e8me cycle LMD en Math\u00e9matiques Intitul\u00e9: \u00abSur les solutions asymptotiques p\u00e9riodiques, presque p\u00e9riodiques de certaines \u00e9quations diff\u00e9rentielles \u00e0 retard\u00a0\u00bb Le jeudi\u00a0 20 Juillet 2023\u00a0\u00e0 la salle de conf\u00e9rences de la Facult\u00e9 des Sciences \u00e0 09h :00 Directrice de Th\u00e8se : Pr. Fatiha BOULAHIA (Univ. Bejaia). T\u00e9l\u00e9charger [&hellip;]<\/p>\n","protected":false},"author":13,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[1,9,19],"tags":[],"class_list":["post-20751","post","type-post","status-publish","format-standard","hentry","category-non-classe","category-new_dep_maths","category-new_dep_mi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Avis de soutenance de Doctorat en Math\u00e9matiques de CHEBAB Mesbah - Facult\u00e9 des Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ummto.dz\/fs\/avis-de-soutenance-de-doctorat-en-mathematiques-de-chebab-mesbah\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Avis de soutenance de Doctorat en Math\u00e9matiques de CHEBAB Mesbah - Facult\u00e9 des Sciences\" \/>\n<meta property=\"og:description\" content=\"Monsieur Mesbah CHEBAB Soutiendra publiquement sa th\u00e8se de Doctorat 3\u00e8me cycle LMD en Math\u00e9matiques Intitul\u00e9: \u00abSur les solutions asymptotiques p\u00e9riodiques, presque p\u00e9riodiques de certaines \u00e9quations diff\u00e9rentielles \u00e0 retard\u00a0\u00bb Le jeudi\u00a0 20 Juillet 2023\u00a0\u00e0 la salle de conf\u00e9rences de la Facult\u00e9 des Sciences \u00e0 09h :00 Directrice de Th\u00e8se : Pr. 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