Sufficient Conditions for Oscillatory Behaviour of a First Order Neutral Difference Equation with Oscillating Coefficients
نویسندگان
چکیده
In this paper, we obtain sufficient conditions so that every solution of neutral functional difference equation ∆(yn − pnyτ(n)) + qnG(yσ(n)) = fn oscillates or tends to zero as n → ∞. Here ∆ is the forward difference operator given by ∆xn = xn+1−xn, and pn, qn, fn are the terms of oscillating infinite sequences; {τn} and {σn} are non-decreasing sequences, which are less than n and approaches ∞ as n approaches ∞. This paper generalizes and improves some recent results.
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