Difference equations, serving as the discrete analogue to differential equations, have long been a linchpin in the study of dynamic systems. These equations define sequences recursively, and their ...

A homogeneous linear difference equation with constant coefficients over a locally compact abelian group $G$ is an equation of the form $\sum^n_{j=1} c_jf (t_jx) = 0 ...

In comparing a linear equation and the associated nonhomogeneous equation, it is shown that if every bounded forcing function and every L1 forcing function yields at least one bounded solution, then ...