2016 | OriginalPaper | Buchkapitel
Polynomial Vector Fields with Given Partial and First Integrals
verfasst von : Jaume Llibre, Rafael Ramírez
Erschienen in: Inverse Problems in Ordinary Differential Equations and Applications
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The solutions of the inverse problem in ordinary differential equations have a very high degree of arbitrariness because of the unknown functions involved. To reduce this arbitrariness we need additional conditions. In this chapter we are mainly interested in the planar polynomial differential systems which have a given set of invariant algebraic curves.