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Information × Registration Number 0219U004602, 0117U007668 , R & D reports Title A mathematical background, an analysis of a reliability and an application of mechanic mathematical and physic mathematical models popup.stage_title Head Misiura Е., Registration Date 12-09-2019 Organization Simon Kuznets Kharkov National University of Economics popup.description2 Objects are the free small oscillations of inhomogeneous multi-link strings with links of different lengths; the initial problem for nonlinear parabolic equations; Differential forms on Riemannian manifolds of complex microstructure; discrete sets; The purpose of the work is the development of the method for finding the exact solution of the problem of free small oscillations of inhomogeneous multi-link strings with different links; the study of properties of the problem's solution; the investigation of asymptotic behavior of differential forms on Riemannian manifolds of increasing genus; the creation a tare tool for an analytical describing the patterns that are subject to the set of discrete objects; Аs the result of the completed research the exact solution of the problem of free small oscillations of inhomogeneous multi-link strings with different links was obtained, the features of the free oscillations of the links of the string as a function of the conditions for fixing the edges were revealed: integral estimates were obtained and their analysis was carried out; homogenized equations that give the asymptotic description of differential forms on Riemannian manifolds of increasing genus are obtained; a structure of a sequence of prime numbers is described and using of integer nets for solving problems of a discrete optimization is considered; Product Description popup.authors Денисова Т. В. Железнякова Е.Ю. Місюра Є.Ю. Рибалко А.П. Сілічова Т.В. Сенчуков В.Ф. Стєпанова К. В. popup.nrat_date 2020-04-02 Close