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Titre :
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A Qualitative study of some classes of differential systems beyond the quadratic ones
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Auteurs :
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Meryem Belattar, Auteur ;
Rachid Cheurfa, Directeur de thèse
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Type de document :
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document électronique
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Editeur :
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Sétif : Université ferhat Abbas faculté des Sciences département des Mathématique, 2024
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ISBN/ISSN/EAN :
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E-TH/2307
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Format :
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1 vol. (78 f.) / ill. / CD
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Note générale :
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Biliogr.
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Langues:
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Anglais
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Catégories :
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Thèses (en français - en anglais) > Document électronique
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Résumé :
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The qualitative theory of ordinary differential systems represents an important tool for identifying properties of solutions without the need for the explicit resolution of these systems. Our main objective in this thesis is to investigate and solve certain problems of the qualitative theory for three classes of planar autonomous nonlinear differential symmetric systems with real parameters.These classes are: (I) a third-degree system, (II) a ninth-degree oscillator system, and (III) a sixthdegree system. Using classical results and methods as well as mathematical tools from the qualitative theory of ordinary differential equations, we aim to address issues related to integrability, solvability, limit cycles and the classification of topological phase portraits in the Poincaré disk for these systems.
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Côte titre :
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E-TH/2307
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En ligne :
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http://dspace.univ-setif.dz:8888/jspui/retrieve/8471/2307.pdf
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Exemplaires (1)
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| E-TH/2307 | Thèse | Bibliothèque centrale | Disponible |
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