Bending of a circular plate made of a material with inhomogeneous hereditary and elastic properties (Q1326097)

The boundary value problem describing the bending of a circular plate made of hereditary elastic material with a linear dependence of parameters on polar radius is studied. Using the Laplace transformation with respect to the time variable, the system of intego-differential equations for bending is reduced to a boundary value problem for linear ordinary differential equation with polynomial coefficients.