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International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 371-380

Steady state temperatures in a quarter plane

Department of Mathematics and Statistics, The University of Calgary, Alberta, Calgary T2N 1N4, Canada

Received 18 October 1993; Revised 1 March 1994

Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The discontinuous boundary value problem of steady state temperatures in a quarter plane gives rise to a pair of dual integral equations which are not of Titchmarch type. These dual integral equations are considered in this paper.