The paper is concerned with the existence and stability of weak (variational) solutions for the problem of the quasistatic evolution of a viscoelastic material under mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty of the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels.
"Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem." Abstr. Appl. Anal. 2009 1 - 19, 2009. https://doi.org/10.1155/2009/828315