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 ...

Some new oscillation criteria are obtained for the second order difference equation (cn xn) + pn xn+1=0, n= 0, 1, 2, ... where = xn = xn+1 – xn is the forward difference operator. The method uses ...