Some generalized Gronwall-Bellman type nonlinear delay integral inequalities for discontinuous functions

摘要

In this work, some new generalized Gronwall-Bellman type nonlinear delay integral inequalities for discontinuous functions are established, which can be used as a handy tool in the quantitative and qualitative analysis of solutions of certain integral equations. The established results generalize the main results of Gao and Meng in (Math. Pract. Theory 39(22):198-203, 2009). MSC:26D10, 26D15.