The article proves the insolvability of the 4-th Hilbert Problem for hyperbolic geometries. It has been hypothesized that this fundamental mathematical result (the insolvability of the 4-th Hilbert Problem) holds for other types of non-Euclidean geometry (geometry of Riemann (ell...
Open access
Research Article10.9734/jamcs/2019/v31i130099
This article solves the problem of variation of fundamental physical-mathematical constant (the fine-structure constant) in dependence of the age of the Universe. This problem has been named by as one of the MILLENNIUM PROBLEMS. The mathematical model of the evolution of the Univ...
Open access
Research Article10.9734/PSIJ/2016/21966
Hilbert’s Fourth Problem is one of the most important mathematical problems, formulated by Hilbert in 1900. Unfortunately, attempts to solve this problem during 20th century did not lead to the generally recognized solution, and now modern mathematicians believe that the problem...
Open access
Research Article10.9734/BJMCS/2016/21849