Akademik Veri Yönetim Sistemi
Turkish Journal of Mathematics, cilt.48, sa.6, ss.1110-1126, 2024 (SCI-Expanded)
This paper focuses on examining the boundedness and asymptotic behavior of all solutions of the neutral difference equations $\bigtriangleup \left [ x_{n}-p_{n}x_{n-k} \right ]+q_{n}x_{n-\ell}=0$ for n = 0, 1, · · · (⋆) $\bigtriangleup \left [ x_{n}-px_{n-k} \right ]+q_{n}x_{n-\ell}=0$ for n = 0, 1, · · · , (⋆⋆) where $ k, \ell \in \mathbb{N}, \left\{p_{n} \right\} \subset [0,1), p\in [0,1) and \left\{q_{n} \right\} \subset[0,\infty ).$ Diverging from much of the existing literature, our results accommodate the scenario where $\left\{p_{n} \right\}\subset[\frac{1}{2},1)$ and $p\in[\frac{1}{2},1)$ for (⋆) and (⋆⋆), respectively. Furthermore, we underscore the practical implications of our results through the presentation of numerical examples.