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

摘要

In this article we investigate some impulsive integro-functional inequalities for functions of n independent variables. The problem of reducing multidimensional integro-sum functional in-equalities 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 with finite jumps are obtained.