Variational strategies on the study of the existence and uniqueness theorem for ordinary differential equations
Résumé
In this paper, we study historical proofs of the existence and uniqueness theorem for the differential equation í µí±¦′ = í µí±(í µí±¥, í µí±¦). We analyze original works that played a part in the problematization of this concept, thus offering a rational reconstruction of its genesis which sheds light on its meaning. We will use results from the socioepistemologic theory to show that variational strategies are efficient in the analysis of the proof. We believe this epistemological analysis may help in the future for pedagogical designs.
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