The purpose of this paper is to establish and solve the Fredholm integral e
quation of the second kind with potential kernel from the semi-symmetric He
rtz problem for two different elastic materials in three dimensions. The ke
rnel of the problem is represented in the non-homogeneous wave equation. Al
so the structure resolvent of the problem is obtained. (C) 2000 Elsevier Sc
ience Inc. All rights reserved.