Solution of two systems of functional equations
0000-0001-5925-7706 In this article, we solve two systems of functional equations that arise as a result of solving the problem of embedding an additive and multiplicative two-dimensional phenomenologically symmetric geometry of rank (2,2) into one of the two-dimensional phenomenologically symmetric geometries of rank (3,2). In the process of searching for non-degenerate solutions of the original systems of functional equations, we first reduce them to systems of differential equations. Then, with the solutions of the obtained systems of differential equations, we return to the original systems of functional equations, from which additional constraints are found.
УДК 514,517.926
Keywords: geometry of two sets, Jordan form of a matrix, system of functional equations, system of differential equations.