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 ...
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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 ...