Abstract
Analytic and p-analytic functions of a complex variable have been used in the solution of axisymmetric problems in the theory of elasticity (see, for example, [1 to 5]). In [6 and 7], the same results were accomplished by using generalized analytic functions which do not differ essentially from the functions introduced in [8]. In this manner, Fredholm integral equations were obtained for the first and second fundamental problems for simply as well as multiply connected bodies of revolution. The method given below deals with the fundamental mixed problem in which the applied forces are specified on one part of the boundary while the displacements are given on the other part. The singular integral equation which is obtained is analogous to the corresponding equation in the plane theory of elasticity [9 and 10]. This equation is then investigated, and the existence of a solution is proved.
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