Electron. J. Diff. Eqns., Vol. 2003(2003), No. 55, pp. 1-6.

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

Oleg Zubelevich

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.

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Oleg Zubelevich
Department of Differential Equations
Moscow State Aviation Institute
Volokolamskoe Shosse 4,
125871, Moscow, Russia
email: ozubel@yandex.ru

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