On first integrals for polynomial differential equations on the line
Żołądek, Henryk
Studia Mathematica, Tome 104 (1993), p. 205-211 / Harvested from The Polish Digital Mathematics Library
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We show that any equation dy/dx = P(x,y) with P a polynomial has a global (on ℝ²) smooth first integral nonconstant on any open domain. We also present an example of an equation without an analytic primitive first integral.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:216029 
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     title = {On first integrals for polynomial differential equations on the line},
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     volume = {104},
     year = {1993},
     pages = {205-211},
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Żołądek, Henryk. On first integrals for polynomial differential equations on the line. Studia Mathematica, Tome 104 (1993) pp. 205-211. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv107i2p205bwm/

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