Abstract
The spectrum of normal waves is studied and the scattering matrix is determined for a planar waveguide with elastic walls and with an elastic semi-infinite plate situated within it. The mechanical mode of behaviour of elastic plates is described using the general-type differential operators. Problems of this type belong to the class of the boundary contact problems /1, 2/. The unique solvability of these problems requires the formulation of additional boundary contact conditions describing the mechanical behaviour of the edge of the semi-infinite plate situated within the waveguide. The regularization of the integrals appearing when the general-type boundary contact conditions are satisfied is indicated.
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