Vladimir V. Goncharov

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The problem of livestock breeding in areas adjacent to industrial centers, which form ecological ill-being, is aggravated year by year. The aim of this article is to determine the degree of genome destabilization in deer—recognized as a source of anthropogenic pollution of the environment—living at different distances from the city of Norilsk. Using methods(More)
This paper concerns the study of a general minimal time problem with a convex constant dynamic and a closed target set in Banach spaces. We pay the main attention to deriving efficient conditions for the major well-posedness properties that include the existence and uniqueness of optimal solutions as well as certain regularity of the optimal value function(More)
Our talk is devoted to the Hamilton-Jacobi equation of a special form: ρ F (∇u (x)) − 1 = 0, (1) where F is a closed convex bounded subset of a Hilbert space (H, ·), containing the origin in its interior, and ρ F (·) is the Minkowski functional (gauge function) associated to F , ρ F (ξ) := inf {λ > 0 : ξ ∈ λF }. This type equations arise, e.g., in geometric(More)
Continuing research in [13] and [14] on well-posedness of the optimal time control problem with a constant convex dynamics (in a Hilbert space), we adapt one of the regularity conditions obtained there to a slightly more general problem, where nonaffine additive term appears. We prove existence and uniqueness of a minimizer in this problem as well as(More)
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