UAB Digital Repository of Documents 5 records found  Search took 0.01 seconds. 
1.
6 p, 214.3 KB Around some extensions of Casas-Alvero conjecture for non-polynomial functions / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We show that two natural extensions of the real Casas-Alvero conjecture in the non-polynomial setting do not hold.
2020 - 10.17398/2605-5686.35.2.221
Extracta mathematicae, Vol. 35, Issue 2 (June 2020) , p. 221-228
2 documents
2.
22 p, 1.6 MB Restricted three-body problems and the non-regularization of the elliptic collision restricted isosceles three-body problem / Alvarez, Martha (UAM (Mèxic). Departamento de Matemáticas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
1998
Extracta mathematicae, Vol. 13, Núm. 1 (1998) , p. 73-94  
3.
7 p, 135.0 KB Polynomial systems : a lower bound for the weakened 16th Hilbert problem / Li, Chengzhi (Peking University. Department of Mathematics) ; Li, Weigu (Peking University. Department of Mathematics) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Zhifen (Peking University. Department of Mathematics)
In this paper we provide the greatest lower bound about the number of (non-infinitesimal) limit cycles surrounding a unique singular point for a planar polynomial differential system of arbitrary degree.
2001
Extracta mathematicae, Vol. 16, Núm. 3 (2001) , p. 441-447  
4.
13 p, 198.4 KB Darboux integrability for polynomial vector fields on the 2-dimensional sphere / Gutierrez, Carlos (Instituto de Matemática Pura e Aplicada (Rio de Janeiro, Brasil)) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The paper is organized as follows. In section 2 we present a summary of the main results of the Darbouxian theory of integrability for the planar polynomial vector fields that we will extend to polynomial vector fields on the 2-dimensional sphere. [...]
2002
Extracta mathematicae, Vol. 17, Núm. 2 (2002) , p. 289-301  
5.
24 p, 265.5 KB Homogeneous polynomial vector fields of degree 2 on the 2-dimensional sphere / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pessoa, Claudio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
Let X be a homogeneous polynomial vector field of degree 2 on S2 having finitely many invariant circles. Then, we prove that each invariant circle is a great circle of S2, and at most there are two invariant circles. [...]
2006
Extracta mathematicae, Vol. 21, Núm. 2 (2006) , p. 167-190  

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