On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments
Volume 72 / 1999
Annales Polonici Mathematici 72 (1999), 181-190
DOI: 10.4064/ap-72-2-181-190
Abstract
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.
