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 ...

We obtain some oscillation criteria for the solutions of the non-linear difference equation of the form (rn 𝜓 (x𝑛 f( xn)),+ qnφ(g(xn+1), rn+1𝜓 (xn+1) f ( xn+1)) = 0, n= 0, 1, 2, ..., where u φ(u, v ...