Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 55, pp. 1-6.

Title: A generalization of Schauder's theorem and its application to
       Cauchy-Kovalevskaya problem

Author: Oleg Zubelevich (Moscow State Aviation Institute, Moscow)

Abstract: 
 We extend the classical majorant functions
 method to a PDE system which right hand side is a
 mapping of one functional space to another. This extension
 is based on some generalization of the Schauder fixed point theorem.
 
Submitted November 27, 2002. Published May 5, 2003.
Math Subject Classifications: 35A10.
Key Words: Cauchy-Kovalevskaya problem; Schauder theorem.