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Weierstrass integrability of differential equations


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Opened Access Weierstrass integrability of differential equations
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Author: Giné Mesa, Jaume
Grau Montaña, Maite
Date: 2007-09
Published in: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Document type: Presentation
Abstract: The integrability problem consists in finding the class of functions a first integral of a given system must belong to. We recall the characterization to admit an elementary or Liouvillian first integral. We define Weierstrass integrability and we determine which Weierstrass integrable systems are Liouvillian integrable. Inside this new class of integrable systems there are non–Liouvillian integrable systems.
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