differential equation

DEVELOPMENT AND RESEARCH OF A DISCRETE-ACTING BATCHER WITH AN OVERTURNING BUCKET

The article deals with the issues of dosing bulk materials using weighing batchers. The existing types of batchers are described, the main disadvantages of the known discrete-acting batchers with an overturning bucket are given. A discrete-acting batcher with a tipping bucket developed by the authors is presented, its block diagram is given, according to which the principle of operation of the batcher is considered in detail. The batcher contains the following units: a feed hopper, a load receiver, upper and lower limiting supports, a counterweight, a weight measuring and display unit.

The solution of an infinite system of ternary differential equations

The present paper is devoted to an infinite system of differential equations.  This system consists of ternary differential equations  corresponding to $3\times3$ Jordan blocks.  The system is considered in the Hilbert space $l_2$.  A theorem about the existence and uniqueness of solution of the system is proved.