SOLUTION OF A SINGULAR INTEGRAL-EQUATION IN A DOUBLE INTERVAL ARISINGIN THE THEORY OF WATER-WAVES

This paper is concerned with a straightforward method of solving a sin gular integral equation in a double interval arising in the linear the ory of water waves. The kernel of the integral equation involves a com bination of logarithmic and Cauchy type singularity. The integral equa tion is solved by utilizing the solution of a singular integral equati on of first kind with a Cauchy type kernel in (0, infinity) and in a f inite interval.