The solvability is investigated of the equations of bending of plates when either the first two displacement components and the transverse shear force or the bending and twisting moments and the deflection are prescribed on the boundary of the middle section domain. These problems are then reduced to boundary integral equations, whose solutions are sought in spaces of distributions.
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[2] Chudinovich, I. and Constanda, C.: WVak solutions of interior boundary value problems for plates with transverse shear deformation. IMA J. App L. Math., 59, 85-94 (1997).
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[3] Chudinovich, I. and Constanda, C.: Variational treatment of exterior boundary value problems for thin elastic plates. IMA J. Appl. Math., 61, 141-153 (1998).
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[4] Chudinovich, I. and Constanda, C.: Solution of bending of elastic plates by means of area potentials. Z. Angew Math. Mech., 80, 547-553 (2000).
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[5] Chudinovich, I. and Constanda, C.: The solvability of boundary integral equations for the Dirichlet and Neumann problems in the theory of thin elastic plates. Math. Mech. Solids, (in press).
