Bhuyan, Ajit KumarPadhy, Laxmi NarayanRath, Radhanath2021-10-042021-10-042020-08-12Bhuyan, A. K., Padhy, L. N., & Rath, R. (2020). Oscillatory behavior for nonlinear homogeneous neutral difference equations of second order with coefficient changing sign. <i>Electronic Journal of Differential Equations, 2020</i>(87), pp. 1-14.1072-6691https://hdl.handle.net/10877/14594In this article, we obtain sufficient conditions so that all solutions of the neutral difference equation ∆2(yn - pnL(yn - s)) + qnG(yn - k) = 0, and all unbounded solutions of the neutral difference equation ∆2(yn - pnL(yn - s)) + qn</sub>G(yn - k) - unH(yα(n)) = 0 are oscillatory, where ∆yn = yn+1 - yn, ∆2yn = ∆(∆yn). Different types of super linear and sub linear conditions are imposed on G to prevent the solution approaching zero or ±∞.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalOscillatory solutionNonoscillatory solutionAsymptotic behaviorDifference equationArticle