Oscillations of difference equations with several oscillating coefficients

We study the oscillatory behavior of the solutions of the difference equation Δx(n)+i=1mpi(n)x(τi(n))=0,nN0[xn-i=1mpinxσin=0, nN] where (pi(n)), 1≤i≤m are real sequences with oscillating terms, τi(n)[σi(n)], 1≤i≤m are general retarded (advanced) arguments, and Δ[] denotes the forward (backward) difference operator Δx(n)=x(n+1)-x(n)[x(n)=x(n)-x(n-1)]. Examples illustrating the results are also given.