Multidimensional Impulse Inequalities and General Bihari-Type Inequalities for Discontinuous Functions with Retardation

In this article we investigate some impulsive integro-functional inequalities for functions of n independent variables. The problem of reducing multidimensional integro-sum functional inequalities to one-dimensional inequalities is considered too (by using conditions of solvability Chapligin’ problem for impulsive integral inequalities). Some new analogies Wendroff-type inequalities for discontinuous functions with finite jumps are founded.