ACTUAL MATHEMATICAL PROBLEMS AND THORNY WAY OF SCIENCE

This research work consists of three parts. The first part is the review of four actual mathematical problems solved by the author: interactions of charges at their relative motion, current in the rotochamber, axisymmetric interactions of N-bodies on the plane, the multilayered rotating structures of N-Bodies. The shortcomings of modern mathematics, which interfered works’ publications about these problems, are discussed. The translation into Russian of the last task published in the English-speaking press is given in the second part. In the third part the review process of this article in magazines is presented and author’s comments are given. The given work can be interesting to a wide range of readers: scientists, beginning researchers, and inquisitive students.