{"id":157,"date":"2026-05-18T16:03:30","date_gmt":"2026-05-18T14:03:30","guid":{"rendered":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/?page_id=157"},"modified":"2026-05-18T16:06:20","modified_gmt":"2026-05-18T14:06:20","slug":"equipe-4","status":"publish","type":"page","link":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/equipe-4\/","title":{"rendered":"Equipe 4"},"content":{"rendered":"\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"Equipe\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Objectifs d\u2019ensemble :<\/span><\/strong><\/p>

R\u00e9solution de quelques \u00e9quations diff\u00e9rentielles abstraites lin\u00e9aires \u00e0 coefficients op\u00e9rateurs accr\u00e9tifs non born\u00e9s.<\/p>

\u00c9tudier des familles polynomiales quadratiques d\u2019op\u00e9rateurs (ou des matrices) en utilisant le concept du quotient\u00a0 \u00e0 droite ou \u00e0 gauche.<\/p>

R\u00e9soudre des probl\u00e8mes au bord abstraits d\u00e9crit par les op\u00e9rateurs pencil.<\/p>

Etudier les propri\u00e9t\u00e9s des op\u00e9rateurs lin\u00e9aires et non lin\u00e9aires dans les espaces de Banach et de Hilbert, avec un accent particulier sur les th\u00e9or\u00e8mes de d\u00e9composition spectrale et les perturbations.<\/p>

Approfondir la compr\u00e9hension des relations entre les structures alg\u00e9briques et topologiques des espaces fonctionnels.<\/p>

R\u00e9soudre des probl\u00e8mes d\u2019approximation dans des contextes th\u00e9oriques et appliqu\u00e9s.<\/p>

Fondements Scientifiques <\/em>:<\/em><\/span><\/strong><\/p>

Les grands th\u00e8mes de travail de l\u2019\u00e9quipe sont\u00a0: I. Equations Diff\u00e9rentielles Abstraites Lin\u00e9aires \u00e0 coefficients Op\u00e9rateurs – II. Familles Polynomiales Quadratiques d\u2019Op\u00e9rateurs – III. Les perturbations de Fredholm – IV. Les relations lin\u00e9aires<\/strong>.<\/strong><\/p>

Mots-Cl\u00e9s\u00a0:<\/span> <\/em><\/strong>Inverse de Drazin- Op\u00e9rateur matriciel- Probl\u00e8mes aux bords abstraits- Familles polynomiales d\u2019op\u00e9rateurs-Spectre-Op\u00e9rateurs accr\u00e9tifs- La th\u00e9orie des perturbations-Semi-groupes-Puissances fractionnaires d\u2019op\u00e9rateurs-\u00c9quations Diff\u00e9rentielles Abstraites (en abr\u00e9g\u00e9 E.D.A.)- Espace non-Archim\u00e9dien–<\/em> Espace quaternion.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

Objectifs d\u2019ensemble : R\u00e9solution de quelques \u00e9quations diff\u00e9rentielles abstraites lin\u00e9aires \u00e0 coefficients op\u00e9rateurs accr\u00e9tifs non born\u00e9s. \u00c9tudier des familles polynomiales quadratiques d\u2019op\u00e9rateurs (ou des matrices) en utilisant le concept du Lire la suite …<\/a><\/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-157","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/pages\/157","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/comments?post=157"}],"version-history":[{"count":4,"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/pages\/157\/revisions"}],"predecessor-version":[{"id":161,"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/pages\/157\/revisions\/161"}],"wp:attachment":[{"href":"https:\/\/www.univ-usto.dz\/labo\/lmsa\/wp-json\/wp\/v2\/media?parent=157"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}