Some new generalized Gronwall-Bellman-type integral inequalities in two independent variables on time scales

Journal of inequalities and applications

Yulu Wang¹ 

关键词: integral inequality;    time scale;    dynamic equation;    qualitative property;    quantitative property;   

DOI  :  10.1186/1029-242X-2013-234

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some new Gronwall-Bellman-type integral inequalities in two independent variables on time scales are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of dynamic equations on time scales. The inequalities established unify some of the integral inequalities for continuous functions in (Meng and Li in Appl. Math. Comput. 148:381-392, 2004) and their discrete analysis in (Meng and Li in J. Comput. Appl. Math. 158:407-417, 2003). MSC:26E70, 26D15, 26D10.

【 授权许可】

CC BY