The existence and uniqueness of solution to a one-dimensional hyperbolic problem arising in viscoelasticity is here considered. Specifically, the case of a singular kernel is analyzed. This choice is suggested by applications according to the literature to model a wider variety of materials.
"A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result." Differential Integral Equations 26 (9/10) 1115 - 1125, September/October 2013. https://doi.org/10.57262/die/1372858565