“…In Engineering Sciences, motivations to study delay difference equations in continuous time come from sampleddata systems, neutral time-delay systems (see Kharitonov (2013), Hale and Verduyn Lunel (1993), and Fridman (2001)), difference equations with distributed delays (see the examples in Melchor-Aguilar (2013)), conservation laws modeled by first order hyperbolic partial differential equations in which a transport phenomenon occurs, Hale and Verduyn Lunel (1993), and other classes of linear systems with distributed parameters, which have been shown in Damak (2015) to admit a representation in the form of difference equations in continuous time.…”