Studies on Oscillation Criteria for Functional Difference Inequalities with Strongly Bounded Forcing Term

In this paper, we consider the functional difference inequalities of the form We obtain some new oscillation criteria for the above inequalities under the condition 1 , n i a n = 1,2, ⋯, The results of this paper are presented in a form which is essentially new and of a high degree of generality. Further, most of our results involve comparison with related first and second order difference equations. So that the known oscillation theorems from the literature can be employed directly.