ABSTRACT
This chapter considers the sequential interpretation of distributions theory. The distributions can have a real physical sense. In principle, any external influences on the system acting at individual points of the given region are described by distributions. The linear operations are continuous. Therefore, the set of distributions with given operations and convergence is the linear topological space. The multiplication of distributions is non-associative operation. This result shows that there are extremely serious difficulties in determining a natural operation of multiplication on the set of distributions. The obvious analogy between the rational and real numbers and the infinitely differentiable functions and distributions allows to hope for the possibility of a sequential definition of distributions. The sequential distributions save the most important properties of the Schwartz distributions.
