Integral inequalities of Gronwall type for piecewise continuous functions
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.
impulsive integro-differential equations
scientific article; zbMATH DE number 1023072
scientific article