Abstract
Integral equations of the form (2) below, dual to (1) are studied from the point of view of finding their effective solutions, the results being given in Section 1. The results are applied in Section 2 for solving nonlocal problems for the polyharmonic functions in the half plane. Introduction. In [5a] solutions of certain nonlocal problems for elliptic differential equations are reduced to the classical Wiener-Hopf integral equation and dual integral equations of convolution type. Effective solutions of such equations are well known [3], [7]. These equations are generalized by many investigators. A highly detailed survey of them can be found in [3], where some generalized integral equations are solved effectively and some of them are investigated in the sense of solvability. In [5b] the nonlocal problems for elliptic differential equations are reduced to integral equations of the form
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