Generalized nonlinear superposition principles for polynomial planar vector fields.
García, Isaac A., Giacomini, Hector, Giné, Jaume (2005)
Journal of Lie Theory
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Displaying similar documents to “Liouvillian first integrals of second order polynomial differential equations.”
Generalized nonlinear superposition principles for polynomial planar vector fields.
On plane polynomial vector fields and the Poincaré problem.
El Kahoui, M'hammed (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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New examples of holomorphic foliations without algebraic leaves
Henryk Żołądek (1998)
Studia Mathematica
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We present a series of polynomial planar vector fields without algebraic invariant curves in .
Darbouxian integrability for polynomial vector fields on the 2-dimensional sphere.
Carlos Gutiérrez, Jaume Llibre (2002)
Extracta Mathematicae
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Algebraic non-integrability of the Cohen map.
Rychlik, Marek, Torgerson, Mark (1998)
The New York Journal of Mathematics [electronic only]
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Euclidean algorithm and Kummer covers with many points.
Garzón, Alvaro (2003)
Revista Colombiana de Matemáticas
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Differentials of the second kind on a product surface.
Wilson, J.C. (1979)
International Journal of Mathematics and Mathematical Sciences
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Basic algebro-geometric conceps in the study of planar polynomial vector fields.
Dana Schlomiuk (1997)
Publicacions Matemàtiques
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In this work we show that basic algebro-geometric concepts such as the concept of intersection multiplicity of projective curves at a point in the complex projective plane, are needed in the study of planar polynomial vector fields and in particular in summing up the information supplied by bifurcation diagrams of global families of polynomial systems. Algebro-geometric concepts are helpful in organizing and unifying in more intrinsic ways this information.
The a-tempered derivative and some spaces of exponential distributions.
Pilipović, Stevan (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Pencils of irreducible rational curves and plane Jacobian conjecture
Nguyen Van Chau (2011)
Annales Polonici Mathematici
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In certain cases the invertibility of a polynomial map F = (P,Q): ℂ²→ ℂ² can be characterized by the irreducibility and the rationality of the curves aP+bQ = 0, (a:b) ∈ ℙ¹.
On algebraic solutions of algebraic Pfaff equations
Henryk Żołądek (1995)
Studia Mathematica
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We give a new proof of Jouanolou’s theorem about non-existence of algebraic solutions to the system . We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions.
Asymptotic behavior of solutions to functional integral equation with deviating arguments.
Julie, M.Diana, Balachandran, Krishnan (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Constant invariant solutions of the Poincaré center-focus problem.
Nicklason, Gary R. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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