Semialgebraic integrability of algebraic differential equations (Q2387990)

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Semialgebraic integrability of algebraic differential equations
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    Semialgebraic integrability of algebraic differential equations (English)
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    5 September 2005
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    The author defines a more general notion of semialgebraic integrability for equations of the form \[ P(z,\omega,\omega',\omega'',\dots, \omega^{(n)})= 0, \] as well as more general equations and proves a semialgebraic integrability criterion similar to the cited algebraic integrability criterion for the above equation.
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    semialgebraic integrability
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    Painlevé property
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