Bainov, Drumi D.; Hristova, Snezhana G. Integral inequalities of Gronwall type for piecewise continuous functions. (English) Zbl 0882.26010 J. Appl. Math. Stochastic Anal. 10, No. 1, 89-94 (1997). In the present paper the authors have given the general versions of Gronwall’s inequality for piecewise continuous functions. The results obtained are used to obtain sufficient conditions for continuous dependence on the initial conditions of the solutions of certain nonlinear impulsive integro-differential equations. Reviewer: B.G.Pachpatte (Aurangabad) Cited in 7 Documents MSC: 26D10 Inequalities involving derivatives and differential and integral operators 45J05 Integro-ordinary differential equations Keywords:Gronwall’s inequality; piecewise continuous functions; impulsive integro-differential equations PDFBibTeX XMLCite \textit{D. D. Bainov} and \textit{S. G. Hristova}, J. Appl. Math. Stochastic Anal. 10, No. 1, 89--94 (1997; Zbl 0882.26010) Full Text: DOI EuDML