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A non-linear Goursat problem for a high order polyvibrating equation

Published online by Cambridge University Press:  14 November 2011

Andrzej Borzymowski
Andrzej Borzymowski
Affiliation:
Institute of Mathematics, Warsaw University of Technology, PI. Jedności Robotniczej 1, Warsaw, Poland
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Synopsis

This paper proves the existence of a solution of a non-linear Goursat problem for a partial differential equation of order 2p (p ≧ 2) with the boundary conditions given on 2p curves emanating from a common point. The problem is reduced to a system of integro-differential-functional equations and then Schauder's fixed point theorem is applied.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 1-2 , 1986 , pp. 159 - 172
Copyright
Copyright © Royal Society of Edinburgh 1986

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References

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