Li Zizun, Wang Wu-Sheng
School of Mathematics, Sichuan University, Chengdu, Sichuan 610064 P.R. China.
School of Mathematics and Statistics, Baise University, Baise, Guangxi 533000 P.R. China.
J Inequal Appl. 2017;2017(1):287. doi: 10.1186/s13660-017-1563-0. Epub 2017 Nov 17.
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.
本文的目的是为不连续函数建立一些新的Gronwall-Bellman型滞后弱奇异积分不等式，这些不等式推广了一些已知的弱奇异和脉冲积分不等式。这里给出的不等式可用于分析某些类奇异微分方程和奇异脉冲方程的定性性质。
