Oscillatory and Asymptotic Behaviour of a Homogeneous Neutral Delay Difference Equation of Second Order
نویسندگان
چکیده
In this paper we find sufficient conditions for every solution of the neutral delay difference equation ∆(rn∆(yn − pnyn−m)) + qnG(yn−k) = 0 to oscillate or to tend to zero or ±∞ as n → ∞, where ∆ is the forward difference operator given by ∆xn = xn+1−xn, pn, qn, and rn are infinite sequences of real numbers with qn ≥ 0, rn > 0. Different ranges of {pn} are considered. This paper improves,generalizes and corrects some recent results of [1, 9, 12, 13, 14].
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