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А fairly wide class of mixed and contact problems of mechanics of deformable solids is described by Fredholm integral equations of the second kind with symmetric kernels. For solving such equations, a well-known method of degenerate kernels is developed in the paper. The stated methodology is illustrated on the example of an integral equation of the E.Ja. Shtaerman generalized contact problem on indentation of a punch into an elastic half-plane taking into account the surface structure of the base.

On the solution to integral equations of one class of mixed and contact problems by the degenerate kernel method.