where a, b0, ), \; D denotes the forward difference operator defined by D u (t) = u (t+1) -u (t), T 3 is a fixed positive integer, [1, Tₙ: =\1, 2, , T\, \; f: 1, Tₙ[0, ), and is a parameter. We establish a uniform anti-maximum principle for such problem. As an application of the main result, we obtain the existence of solutions to a class of nonlinear problems via the method of lower and upper solutions and fixed point theorem.
Rui et al. (Thu,) studied this question.