SOME QUASI-STATIC PROBLEMS WITH ELASTIC AND VISCOUS BOUNDARY-CONDITIONS IN LINEAR VISCOELASTICITY

We study the quasi-static behaviour of a linearly viscoelastic body wh ich is subject to boundary forces respectively of elastic type and of viscous type. The ensuing problems exhibit dynamic boundary conditions . We impose on the memory kernel only those restrictions deriving from thermodynamics and, making use of the Fourier transform method, we sh ow existence and uniqueness of the solution to each problem.