{"id":40,"date":"2023-07-03T09:00:12","date_gmt":"2023-07-03T09:00:12","guid":{"rendered":"http:\/\/193.194.89.179\/wp_latn\/?page_id=40"},"modified":"2026-06-12T07:46:59","modified_gmt":"2026-06-12T07:46:59","slug":"mathematiques-et-application-a-la-theorie-de-linformation","status":"publish","type":"page","link":"https:\/\/latn.usthb.dz\/index.php\/mathematiques-et-application-a-la-theorie-de-linformation\/","title":{"rendered":"Syst\u00e8mes Diff\u00e9rentiels Alg\u00e9briques et Applications"},"content":{"rendered":"\n

Chef de l\u2019\u00e9quipe<\/u><\/strong> : REZAOUI Mohamed Salem<\/h2>\n\n\n\n

Membres de l\u2019\u00e9quipe<\/u><\/strong><\/h2>\n\n\n\n
Nom<\/th>Pr\u00e9nom<\/th>Grade<\/th><\/tr>
REZAOUI<\/td>Mohamed Salem <\/td>Professeur<\/td><\/tr>
BENOUARET<\/td>Chahrazed<\/td>MCB<\/td><\/tr>
DJIDEL<\/td>Omar<\/td>MCB<\/td><\/tr>
FENENICHE<\/td>Fatima<\/td>MCB<\/td><\/tr>
NOUAR<\/td>Aziza-Souad<\/td>MCB<\/td><\/tr>
FERNANE<\/td>Zahia<\/td>MAA<\/td><\/tr>
BENZAOUI<\/td>Ilhem<\/td>MAA<\/td><\/tr>
MEKERRI<\/td>Toufik<\/td>MAA<\/td><\/tr>
MESSAI<\/td>Dalila<\/td>Doctorante<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Th\u00e9matiques de recherche<\/strong><\/p>\n\n\n\n

Etude alg\u00e9brique de syst\u00e8mes diff\u00e9rentiels singuliers, applications aux \u00e9quations aux diff\u00e9rences, aux \u00e9quations diophantiennes, relations de Fuchs.  Formules d\u2019indice pour certains op\u00e9rateurs diff\u00e9rentiels (applications aux \u00e9quations diff\u00e9rentielles p-adiques). Mesure du degr\u00e9 de l\u2019irr\u00e9gularit\u00e9 des points singuliers.  Etude de l\u2019anneau (non commutatif) D des op\u00e9rateurs diff\u00e9rentiels analytiques. Un syst\u00e8me diff\u00e9rentiel (ou connexion m\u00e9romorphe) sera consid\u00e9r\u00e9 comme un D-module de type fini. Solvabilit\u00e9 de certains probl\u00e8mes de Cauchy bien pos\u00e9s (dits non caract\u00e9ristiques). Repr\u00e9sentations irr\u00e9ductibles du groupe fondamental de la sph\u00e8re de Riemann, applications au probl\u00e8me de Riemann-Hilbert.<\/p>\n\n\n\n

Dans le cas non lin\u00e9aire, application de la th\u00e9orie de G\u00e9rard-Sibuya concernant l\u2019analyticit\u00e9 des solutions formelles ou leurs  sommabilit\u00e9. Applications aux \u00e9quations de Pfaff, aux syst\u00e8mes dynamiques, de Li\u00e9nard.<\/p>\n\n\n\n

Mots cl\u00e9s<\/strong> : Op\u00e9rateur diff\u00e9rentiel – Indice – Invariants mesurant l’irr\u00e9gularit\u00e9 – Connexions m\u00e9romorphes – Solutions formelles, Gevrey, Convergentes – Singularit\u00e9s r\u00e9guli\u00e8res et irr\u00e9guli\u00e8res – Sommabilit\u00e9 –<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Chef de l\u2019\u00e9quipe : REZAOUI Mohamed Salem Membres de l\u2019\u00e9quipe Nom Pr\u00e9nom Grade REZAOUI Mohamed Salem Professeur BENOUARET Chahrazed MCB DJIDEL Omar MCB FENENICHE Fatima MCB NOUAR Aziza-Souad MCB FERNANE Zahia MAA BENZAOUI Ilhem MAA MEKERRI Toufik MAA MESSAI Dalila Doctorante Th\u00e9matiques Continue Reading<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-40","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages\/40","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/comments?post=40"}],"version-history":[{"count":12,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages\/40\/revisions"}],"predecessor-version":[{"id":334,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages\/40\/revisions\/334"}],"wp:attachment":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/media?parent=40"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}