Abstract
SynopsisIn 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.
Publisher
Cambridge University Press (CUP)
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1 articles.
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1. A non-linear Goursat problem for a high order polyvibrating equation;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1986