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In the process of exploration structure of the most used artificial neural network-multilayer perceptron and functionality of artificial neuron, there were established structures of groups of artificial neurons. Currently the most interesting areas is the usage of time varying artificial neurons and their reflections in these algebraic
structures. Using certain analogy with relations between structures based on certain groups of linear ordinary differential operators there is investigated access to new view point on these subjects. In this paper there is contained the solution of one classical problem-verification that the corresponding group of time is solvable
