In this paper, we establish some new discrete Gronwall–Bellman–Ou-Iang type inequalities over 2-dimensional lattices. These, on one hand, generalize some existing results in the literature and on the other hand, provide a handy tool for the study of qualitative properties of solutions of difference equations. We illustrate this by applying these new results to certain boundary value problem for difference equations.
No takes yet. Share an insight, caveat, or question.
Wing‐Sum Cheung (2004) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: