Abstract
In this paper, necessary and sufficient conditions are obtained so that the neutral functional difference equation ∆ ( yn − yτ(n) ) + qnG(yσ(n)) = fn, n ≥ n0, admits a positive bounded solution, where m ≥ 1 is an odd integer, ∆ is the forward difference operator given by ∆yn = yn+1 − yn; {fn}, {qn}, are sequences of real numbers with qn ≥ 0, G ∈ C(R,R). The results of this paper improve and extend some recent work [6, 15].
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