To access the full text documents, please follow this link: http://hdl.handle.net/2117/16157

Morphisms and inverse problems
Christopher, Colin; Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
In order to investigate polynomial vector ¯elds admitting a prescribedDarboux integrating factor, we show that it is helpful to employ morphisms of thea±ne plane. In particular, such morphisms may be used to remove degeneracies ofthe underlying curve. Our main result states that the space of vector ¯elds admittinga prescribed Darboux integrating factor modulo a well understood subspace has ¯nitedimension. This extends earlier work for the case of nondegenerate geometric setting.In addition, we present a number of explicit examples with degenerate underlyingcurve.
2012-06-28
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de cossos i polinomis
Algebraic fields
Cossos algebraics
Classificació AMS::34 Ordinary differential equations::34A General theory
Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
Open Access
Report
         

Show full item record

Related documents

Other documents of the same author

Christopher, Colin; Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian
Cristopher, Colin; Llibre i Saló, Jaume; Pantazi, Chara; Walcher, Sebastian
Cristopher, Colin; Llibre i Saló, Jaume; Pantazi, Chara; Walcher, Sebastian
 

Coordination

 

Supporters