Fabiano, Richard H.2017-01-302017-01-301986http://hdl.handle.net/10919/74733A state space model is developed for a class of integro-partial differential equations of hyperbolic type which arise in viscoelasticity. An approximation scheme is developed based on a spline approximation in the spatial variable and an averaging approximation in the de1ay variable. Techniques from linear semigroup theory are used to discuss the well-posedness of the state space model and the convergence properties of the approximation scheme. We give numerical results for a sample problem to illustrate some properties of the approximation scheme.iv, 89 leavesapplication/pdfen-USIn CopyrightLD5655.V856 1986.F345Difference equationsDissertation