Abstract
Integral convolution equations given on a system of segments are considered; the kernel of the integral equation is a periodic function with period T The unique solvability of the equations is established for kernels of a general kind, an approximate factorization is given a foundation, and a method for construction of the approximate solution is also indicated. Integral equations of the kind mentioned occur in mixed problems of elasticity theory and mathematical physics, posed for finite bodies [1, 2], as well as for infinite bodies with periodic boundary conditions [3]. The result herein, just as in [4], is necessary for the correct formulation and solution of dynamic contact problems.
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