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Some dual series equations with an application in the theory of elasticity

Published online by Cambridge University Press:  14 November 2011

J. Tweed
J. Tweed
Affiliation:
Department of Mathematical Sciences, Old Dominion University, Norfolk, Va 23508, U.S.A.
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Synopsis

In this paper the author investigates a system of simultaneous dual trigonometric series equations. A closed form solution is obtained by reducing the dual series to singular integral equations of Carleman type. The use of these equations is then illustrated by their application to a crack problem in the theory of elasticity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 92 , Issue 3-4 , 1982 , pp. 241 - 251
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

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