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  • Nahirnyj, T.; Tchervinka, K. (Фізико-математичне моделювання та інформаційні технології, 2009)
    In this paper the principal relations of a thermoelastic solid model for the local gradient approach in thermomechanics are presented. Within the framework of such an approach the stationary stressed-strained state of a ...
  • Ustimenko, V. (Algebra and Discrete Mathematics, 2020)
    Special infinite families of regular graphs of unbounded degree and of bounded diameter (small world graphs) are considered. Two families of small world graphs Gi and Hi form a family of non-Sunada twins if Gi and Hi are ...
  • Zolotenko, G.F. (Нелінійні коливання, 2001)
    The problem of integrating the Laplace equation in a changing 3-dimensional region, with the initial and boundary conditions, is investigated. The paper is mainly devoted to the problem arising in dynamics of an inviscid ...
  • Solonukha, O. (Нелинейные граничные задачи, 2003)
    The sufficient conditions for weak and strong generalized solvability of evolutionary variational inequalities with set-valued operators are proposed. We consider the operators of pseudomonotone type. We apply this theory ...
  • Mikhailets, V.A.; Skorobohach, T.V. (Доповіді НАН України, 2020)
    We investigate the most general class of Fredholm one-dimensional boundary-value problems in the Sobolev—Slobodetskiy spaces. Boundary conditions of these problems may contain a derivative of the whole or fractional order. ...
  • Staněk, S. (Нелінійні коливання, 2001)
    We present conditions ensuring the existence of a solution in the class C¹ ([0, T]) for the singular periodic boundary-value problem (r(x' ))' = H(p(t) + q(x))k(x')f(t, x, x'(0) = x(T), x'(0) = x'(T).
  • Solonoukha, O.V. (Нелинейные граничные задачи, 1999)
    In this work the theory of variational inequalities with multivalued operators is extended for the wider of multivalued maps from the re°exive Banach space to its dual one. In particular, we relax the restriction on boundness ...
  • Goncharov, M. (Algebra and Discrete Mathematics, 2015)
    Let A=A₀⊕A₁⊕A₂ be an alternative Z₃-graded algebra. The main result of the paper is the following: if A0 is solvable and the characteristic of the ground field not equal 2,3 and 5, then A is solvable.
  • Kirichenko, V.V.; Dashkova, O.Yu. (Algebra and Discrete Mathematics, 2009)
    The authors discuss some recent developments in the theory of modules over group rings.
  • Gusak, D. (2008)
    The distribution of characteristics, which describes the behaviour of the claim surplus process after the ruin, is investigated and compared with some previous results on distributions of risk functionals. Main attention ...
  • Tushev, A.V. (Доповіді НАН України, 2022)
    In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, ...
  • Kirichenko, V.V.; Kurdachenko, L.A. (Algebra and Discrete Mathematics, 2010)
    The survey is dedicated to investigation of groups with prescribed properties of generalized normal subgroups. The roots of such investigations lie in the works by R. Dedekind, R. Baer, O.Yu.Schmidt, and S.N. Chernikov. ...
  • Sushch, V. (Нелинейные граничные задачи, 2003)
    Using methods of differential geometry, a discrete analog of the Yang-Mills equations in Minkowski space is constructed. The gauge transformation law in a discrete formulation is given and gauge invariance of discrete ...
  • Gerko, A.I. (Український математичний журнал, 2000)
    We study disjointness classes of extensions of minimal topological transformation semigroups.
  • Altay, B.; Başar, F. (Український математичний журнал, 2005)
    In the present paper, the Euler sequence spaces eʳ₀ and eʳc of nonabsolute type which are the BK-spaces including the spaces c₀ and c have been introduced and proved that the spaces er₀ and erᶜ are linearly i somorphic to ...
  • Boyarintsev, A.Yu.; Cherginets, V.L.; Ponomarenko, T.V.; Rebrova, T.P.; Varich, A.G.; Bryleva, E.Yu.; Koryakina, E.M.; Sheina, T.V.; Varchenko, V.V.; Yurchenko, O.I. (Functional Materials, 2017)
    Investigation of multiple low-temperature mixed crystallization (LTMC) of the solution wastes of cesium iodide was reported. LTMC is a very simple and convenient way for an essential decrease of the concentrations of ...
  • Semko, N.N.; Yarovaya, O.A. (Algebra and Discrete Mathematics, 2009)
    Locally step groups at which all subgroups are or normal, or have Chernikov’s derived subgroup are studied.
  • Mursaleen, M.; Noman, A.K. (Український математичний журнал, 2011)
    In the present paper, we introduce the sequence space ` lλp of non-absolute type which is a p-normed space and a BK-space in the cases of 0 < p < 1 and 1 ≤ p < ∞, respectively. Further, we derive some imbedding ...
  • Yashchuk, V.S. (Algebra and Discrete Mathematics, 2019)
    The first step in the study of all types of algebras is the description of such algebras having small dimensions. The structure of 3-dimensional Leibniz algebras is more complicated than 1 and 2-dimensional cases. In this ...
  • Kurdachenko, L.A.; Sadovnichenko, A.V. (Algebra and Discrete Mathematics, 2013)
    Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called ...