Integral inequalities of Gronwall type for piecewise continuous functions. (1997)

• Record Type: Journal Article
• Authors: Bainov, Drumi D.; Hristova, Snezhana G.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 10:Number 1(1997)
• Page Start: 89
• Page End: 94
• Publication Date: 1997
• Subjects: integral inequalities -- piecewise continuous functions; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953397000099
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper we generalize the integral inequality of Gronwall and study the continuous dependence of the solution of the initial value problem for nonlinear impulsive integro-differential equations of Volterra type on the initial conditions.