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ArticleOriginal scientific text

Title

On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments

Authors 1

Affiliations

  1. Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Abstract

We prove an existence theorem of Cauchy-Kovalevskaya type for the equation Dtu(t,z)=f(t,z,u(α(0)(t,z)),Dzu(α(1)(t,z)),...,Dzku(α(k)(t,z))) where f is a polynomial with respect to the last k variables.

Keywords

ENG
nonlinear equation, deviating argument, analytic solution, Cauchy-Kovalevskaya theorem

Bibliography

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Annales Polonici Mathematici
1999/72/2
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Pages:
181-190
Main language of publication
English
Received
1998-11-30
Accepted
1999-04-30
Published
1999
Exact and natural sciences