Unbounded Positive Solutions and Mann Iterative Schemes of a Second-Order Nonlinear Neutral Delay Difference Equation

Unbounded solutions of second order discrete BVPs on infinite intervals

“…We refer here to some works using the upper and lower solutions method, e.g., see [3,10,11,13,14,15,18,20,21,24,25,28,29] for finite interval problems, and [1,5,7,27] for infinite interval problems. Discrete infinite interval problems have also been studied by several other methods in [2,4,6,8,9,12,16,17,19,21,22,26].…”

“…The only known work where unbounded positive solutions of second order nonlinear neutral delay difference equation have been established is a recent contribution of Zeqing Liu et al [17].…”