Ss. Cheng et G. Zhang, NONEXISTENCE CRITERIA FOR POSITIVE SOLUTIONS OF A NONLINEAR RECURRENCE RELATION, Mathematical and computer modelling, 22(2), 1995, pp. 59-66
In this paper, we derive several nonexistence criteria for eventually
positive solutions of a class of nonlinear recurrence relation. These
criteria are then used to obtain oscillation criteria for an associate
d nonlinear neutral difference equation with delay.