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Title: | On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory |
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Author: | Acosta-Humànez, Primitivo; Lázaro Ochoa, José Tomás; Morales Ruiz, Juan José; Pantazi, Chara |
Other authors: | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
Abstract: | |
Abstract: | |
Subject(s): | -Àrees temàtiques de la UPC::Matemàtiques i estadística -Differential equations, Linear -Galois theory -Differential Galois theory -Darboux theory of integrability -Poincare problem -rational first integral -integrating factor -Riccati equation -Lienard equation -Liouvillian solution -INVARIANT ALGEBRAIC-CURVES -LINEAR-DIFFERENTIAL EQUATIONS -DARBOUX INTEGRATING FACTORS -INVERSE PROBLEMS -1ST INTEGRALS -POINCARE PROBLEM -GALOIS THEORY -SYSTEMS -FOLIATIONS -MULTIPLICITY -Galois, Teoria de -Equacions diferencials lineals -Classificació AMS::12 Field theory and polynomials::12H Differential and difference algebra -Classificació AMS::32 Several complex variables and analytic spaces::32S Singularities |
Rights: | Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type: | Article - Published version Article |
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