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

Journal of inequalities and applications

Bin Zheng¹ 

关键词: delay integral inequality;    discontinuous function;    integral equation;    bounded;   

DOI  :  10.1186/1029-242X-2013-297

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY