Multidimensional impulse inequalities and general Bihari type inequalities for discontinuous functions with delay

Abstract

In this article we investigate some impulsive integro-functional inequalities forfunctions of $n$ independent variables. The problem of reducing multidimensionalintegro-sum functional inequalities to one-dimensional inequalities is also considered (using conditions of Chaplygin problem solvability for impulsive integral inequalities).Some new analogies of Wendroff--type inequalities for discontinuous functions withfinite jumps are obtained.