The generalizations of Gronwall's integral inequality and their discrete analogies are obtained. In applications these results are used to obtain the stability estimates of solutions for the initial value problems for integral-differential equations of the parabolic type

CWI
Modelling, Analysis and Simulation [MAS]
Multiscale Dynamics

Ashyraliyev, M. (2005). Generalizations of Gronwall's integral inequality and their discrete analogies. Modelling, Analysis and Simulation [MAS]. CWI.