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Weierstrass integrability of differential equations

✍ Scribed by Jaume Giné; Maite Grau

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
260 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

The integrability problem consists of finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define Weierstrass integrability and we determine some Weierstrass integrable systems which are Liouvillian integrable. Inside this new class of integrable systems there are non-Liouvillian integrable systems.

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