Dilip, Devadanam SuseelaKılıçman, AdemBabu, Sibi C.2023-11-292023-11-2920191023-61981563-5120https://hdl.handle.net/11363/6580https://doi.org/In this work, we investigate the asymptotic behaviour and examine boundedness of the solutions for the following difference equation xn+1 = αλ−(nxn+(n−k)xn−k ) β + nxn + (n − k)xn−k , n = 0, 1, 2, ... (1) where λ ≥ 1 and α, β ≥ 0 and x−k, x−(k−1), ... , x−1, x0 are arbitrary numbers.eninfo:eu-repo/semantics/openAccessEquilibrium pointasymptotic stabilityboundednesspositive solutionsArticle25330531210.1080/10236198.2019.15684242-s2.0-85060465772Q3WOS:000460623700001Q3