International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 17, Pages 1093-1100

Dual integral equations—revisited

Sudeshna Banerjea1 and C. C. Kar2

1Department of Applied Mathematics, University of Calcutta, 92 APC Road, Calcutta 700009, India
2Mathurapur High School, 24 Parganas, Mathurapur, West Bengal, India

Received 30 April 2001

Copyright © 2003 Sudeshna Banerjea and C. C. Kar. 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.


Dual integral equations with trigonometric kernel are reinvestigated here for a solution. The behaviour of one of the integrals at the end points of the interval complementary to the one in which it is defined plays the key role in determining the solution of the dual integral equations. The solution of the dual integral equations is then applied to find an exact solution of the water wave scattering problems.