Universitat de Lleida
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.
English
Nonlinear differential equations; Integrability problem; Equacions diferencials no lineals
Elsevier
Versió preprint del document publicat a https://doi.org/10.1016/j.aml.2010.01.004
Applied Mathematics Letters, 2010, vol. 23, p. 523–526
(c) Elsevier, 2010
Documents de recerca [17848]
