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8 p, 319.1 KB Invariant curves and integrability of planar Cr differential systems / Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We improve the known expressions of the Cr differential systems in the plane having a given Cr+1 invariant curve, or a given Cr+1 first integral. Their application to polynomial differential systems having either an invariant algebraic curve, or a first integral, also improves the known results on such systems.
2018 - 10.1216/RMJ-2018-48-5-1537
The Rocky Mountain Journal of Mathematics, Vol. 48, Issue 5 (2018) , p. 1537-1550  
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