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Integral inequalities of Gronwall type for piecewise continuous functions. (English) Zbl 0882.26010

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.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
45J05 Integro-ordinary differential equations
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