O
O. I. Bogoyavlenskii
Publications - 4
Citations - 118
O. I. Bogoyavlenskii is an academic researcher. The author has contributed to research in topics: General relativity & Differential equation. The author has an hindex of 3, co-authored 4 publications receiving 107 citations.
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The relationship between Hamiltonian formalisms of stationary and nonstationary problems
TL;DR: In this article, it was shown that there exists a relationship between the Hamiltonian formalisms of the stationary and the nonstationary problems, though this was not precisely formulated, and a general theorem on such a relationship was formulated.
Journal Article
Singularities of the cosmological model of the Bianchi IX type according to the qualitative theory of differential equations
TL;DR: An exact definition and calculation of all singular points (in the sense of qualitative theory of differential equations) are presented for the Einstein equations in a homogeneous cosmological model of the Bianchi IX type, as well as their separatrices as mentioned in this paper.
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Homogeneous models in general relativity and gas dynamics
TL;DR: A short survey of results on non-trivial models (that are not integrable analytically) in general relativity and gas dynamics can be found in this article.
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Finite-dimensional oscillatory models in the general theory of relativity and in gas dynamics
TL;DR: In this paper, the authors applied the qualitative theory of differential equations for the investigation of homogeneous cosmological models and to models of stellar explosion in the classical gas dynamics, and the strong degeneracy of the singular points of a dynamical system are investigated by their successive solving with the aid of special changes of coordinates.