On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments
Augustynowicz, Antoni
Annales Polonici Mathematici, Tome 72 (1999), p. 181-190 / Harvested from The Polish Digital Mathematics Library
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We prove an existence theorem of Cauchy-Kovalevskaya type for the equation Dtu(t,z)=f(t,z,u(α(0)(t,z)),Dzu(α(1)(t,z)),...,Dzku(α(k)(t,z))) where f is a polynomial with respect to the last k variables.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:262738 
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     title = {On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments},
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     year = {1999},
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Augustynowicz, Antoni. On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments. Annales Polonici Mathematici, Tome 72 (1999) pp. 181-190. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z2p181bwm/

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