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A non-linear Goursat problem for a 4th order polyvibrating equation

Published online by Cambridge University Press:  14 November 2011

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

In the paper the existence is proved of a solution of a non-linear Goursat problem for a 4th order partial differential equation with the boundary conditions given on four curves emanating from a common point. The problem is reduced to a system of integro-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 92 , Issue 1-2 , 1982 , pp. 153 - 164
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

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