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

Date

2003-05-05

Authors

Zubelevich, Oleg

Journal Title

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Publisher

Southwest Texas State University, Department of Mathematics

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.

Description

Keywords

Cauchy-Kovalevskaya problem, Schauder theorem

Citation

Zubelevich, O. (2003). A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem. <i>Electronic Journal of Differential Equations, 2003</i>(55), pp. 1-6.

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Attribution 4.0 International

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