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Weierstrass integrability of differential equations
Giné, Jaume; Grau Montaña, Maite
The integrability problem consists in 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 {\it 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.
-Nonlinear differential equations
-Integrability problem
-Equacions diferencials no lineals
(c) Elsevier, 2010
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