Geodesic
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) no. 2, pp. 181-190

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove an existence theorem of Cauchy-Kovalevskaya type for the equation $D_t u(t,z) = f(t,z,u(α^{(0)}(t,z)), D_z u(α^{(1)}(t,z)),...,D_z^k u(α^{(k)}(t,z)))$ where f is a polynomial with respect to the last k variables.
DOI : 10.4064/ap-72-2-181-190
Keywords: nonlinear equation, deviating argument, analytic solution, Cauchy-Kovalevskaya theorem

Antoni Augustynowicz 1

1 
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Antoni Augustynowicz. 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) no. 2, pp. 181-190. doi: 10.4064/ap-72-2-181-190

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