International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 2, Pages 311-322
doi:10.1155/S0161171297000422

On quadruple integral equations involving trigonometric kernels

B. D. Aggarwala

 Department of Mathematics & Statistics, The University of Calgary, 2500 University Drive N W., Alberta, Calgary T2N 1N4, Canada
Received 21 October 1994; Revised 28 August 1995

Abstract

A general technique is developed for the solution of quadruple integral equations involving trigonometric kernels. Four such sets are solved explicitly. Application is made to the problem of three-collinear cracks in linear plane elasticity.