Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications

Journal of inequalities and applications

Zizun Li¹ 

关键词: integral inequality for discontinuous function;    retarded;    weakly singular;    explicit bounds;    singular integral equation;    26D10;    26D15;    26D20;    45A99;   

DOI  :  10.1186/s13660-017-1563-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of the present paper is to establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive integral inequalities. The inequalities given here can be used in the analysis of the qualitative properties of certain classes of singular differential equations and singular impulsive equations.

【 授权许可】

CC BY