四川师范大学学报（自然科学版）2018，Vol.41Issue(1)：66-71,6.DOI:10.3969/j.issn.1001-8395.2018.01.013
一类积分号外具有非常数因子的弱奇异时滞积分不等式
A Class of Weakly Singular Retarded Integral Inequality with a Nonconstant Factor Outside Integral Sign
摘要
Abstract
In this paper,we establish a class of nonlinear retarded weakly singular integral inequalities,which includes a noncon-stant factor outside integral sign and a nonconstant term outside integral term. The upper bounds of the embedded unknown functions are estimated explicitly using discrete Jensen inequality,retarded H?lder's integral inequality,special function,the techniques of change of variable and the method of amplification. This generalize some known results. The derived results can be applied to the study of qualitative properties of solutions of fractional integral equations.关键词
弱奇异不等式/时滞积分不等式/显式界/弱奇异积分方程Key words
weakly singular integral inequality/retarded integral inequality/explicit bounds/weak singular integral equation分类
数理科学引用本文复制引用
覃炜达,王五生..一类积分号外具有非常数因子的弱奇异时滞积分不等式[J].四川师范大学学报（自然科学版）,2018,41(1):66-71,6.基金项目
国家自然科学基金(11561019和11161018)和广西自然科学基金(2016GXNSFAA380090) （11561019和11161018）
