... antiderivative of f,andtheCauchy integral of f is defined bybaf (t)Δt = F(b) − F(a), where a, b ∈ T. The following two theorem include some important properties for delta derivativeon ... scales arising in the theory of dynamicsequationsQinghua Feng1,2*, Fanwei Meng1, Yaoming Zhang2, Bin Zheng2and Jinchuan Zhou2* Correspondence: fqhua@sina.com1School of Mathematical ... 26D10.Keywords: delay integral inequality, time scales, dynamic equation, bound1 Introduction In the 1980s, Hilger initiated the concept of time scales [1], which is used as a theorycapable...