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  • On Pseudospherical Surfaces in E⁴ with Grassmann Image of Prescribed Type 
    Gorkavyy, V. (Журнал математической физики, анализа, геометрии, 2006)
    It is demonstrated that there exist surfaces of constant negative Gauss curvature in E⁴ whose Grassmann image consists of either hyperbolic or parabolic or elliptic points. As a consequence, there exist surfaces of constant ...
  • On Pseudo-valuation rings and their extensions 
    Bhat, V.K. (Algebra and Discrete Mathematics, 2011)
    Let R be a commutative Noetherian Q-algebra (Q is the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. We define a δ-divided ring and prove the following: (1)If R is a pseudo-valuation ...
  • On Quadrirational Yang-Baxter Maps 
    Papageorgiou, V.G.; Suris, Yu.B.; Tongas, A.G.; Veselov, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain ...
  • On quantales of preradical Bland filters and differential preradical filters 
    Melnyk, I. (Algebra and Discrete Mathematics, 2007)
    We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset ...
  • On quasiconformal maps and semi-linear equations in the plane 
    Gutlyanskii, V.Y.; Nesmelova, O.V.; Ryazanov, V.I. (Український математичний вісник, 2017)
    Assume that Ω is a domain in the complex plane C and A(z) is symmetric 2× 2 matrix function with measurable entries, det A = 1 and such that 1/K|ξ|²≤ 〈A(z)ξ, ξ〉 ≤ K|ξ|², ξ ∊ R², 1 ≤ K < ∞. In particular, for semi-linear ...
  • On radiation-induced optical and luminescence phenomena in thermally pretreated GSO:Ce crystals 
    Nagornaya, L.; Starzhinskiy, N.; Bondar, V.; Grinyov, B.; Katrunov, K.; Loseva, E.; Onishchenko, G.; Ryzhikov, V.; Semynozhenko, V. (Functional Materials, 2005)
    Effects of thermal annealing in different gaseous media (vacuum, oxygen-containing and reductive atmospheres) upon main optical, luminescence, spectral kinetic, and scintillation characteristics of GSO:Се crystals - both ...
  • On 𝔉-radicals of finite π-soluble groups 
    Guo, W.; Xi Liu; Baojun Li (Algebra and Discrete Mathematics, 2006)
    In this paper, we prove that for every local πsaturated Fitting class 𝔉 with char(𝔉) = P, the F-radical of every finite π-soluble groups G has the property: CG(G𝔉 ) ⊆ G𝔉 . From this, some well known results are followed ...
  • On radical square zero rings 
    Ringel, C.M.; Xiong, B.-L. (Algebra and Discrete Mathematics, 2012)
    Let Λ be a connected left artinian ring with radical square zero and with n simple modules. If Λ is not self-injective, then we show that any module M with Exti(M, Λ) = 0 for 1 ≤ i ≤ n + 1 is projective. We also determine ...
  • On Raman spectra of water, its structure and dependence on temperature 
    Baschenko, S.M.; Marchenko, I.S. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2011)
    Raman spectra of water within the temperature range 20 to 3 C were investigated. Best of all, the complex shape of the obtained spectra was approximated by four (or five) Gaussian-shaped peaks with their positions 3070, ...
  • On random attractor of semilinear stochastically perturbed wave equation without uniqueness 
    Iovane, G.; Kapustyan, O.V.; Paliichuk, L.S.; Pereguda, O.V. (Системні дослідження та інформаційні технології, 2013)
    In this paper we investigate the dynamics of solutions of the semilinear wave equation, perturbed by additive white noise, in sense of the random attractor theory. The conditions on the parameters of the problem do not ...
  • On randomly perturbed linear oscillating mechanical systems 
    Skorokhod, A.V. (Український математичний журнал, 2000)
    Доведено, що амплітуди і фази власних коливань лінійної коливної системи, збуреної або „швидким" процесом Маркова, або ж малим віперовим процесом, можна асимптотично описати дифузійним процесом, генератор якого обчислюється.
  • On recent advances in boundary value problems in the plane 
    Gutlyanskii, V.Y.; Ryazanov, V.I. (Український математичний вісник, 2016)
    The survey is devoted to recent advances in nonclassical solutions of the main boundary value problems such as the well–known Dirichlet, Hilbert, Neumann, Poincare and Riemann problems in the plane. Such solutions are ...
  • On recent advances in the Beltrami equations 
    Gutlyanskii, V.; Ryazanov, V.; Srebro, U.; Yakubov, E. (Український математичний вісник, 2010)
    We give an exposition of the recent progress in the theory of the Beltrami equations with the degeneration.
  • On recurrence in G-spaces 
    Protasov, I.V.; Protasova, K.D. (Algebra and Discrete Mathematics, 2017)
    We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G×X⟶X, (g,x)⟼gx. For a family F of subset of X and A∈F, we denote ΔF(A)={g∈G:gB⊆A for some B∈F, ...
  • On reduction of results of joint astronomical, geodetic, and geophysical observations to one geometrical centre 
    Tyshchuk, M.; Gozhy, A. (Кинематика и физика небесных тел, 2005)
    There are tasks, for which decision it is necessary to determine small temporal changes of various astronomical, geodetic and geophysical parameters in any epoch in the same place and to reduce results of measurements to ...
  • On Reductions of the Hirota-Miwa Equation 
    Hone, A.N.W.; Kouloukas, T.E.; Ward, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The Hirota-Miwa equation (also known as the discrete KP equation, or the octahedron recurrence) is a bilinear partial difference equation in three independent variables. It is integrable in the sense that it arises as the ...
  • On regular geons in general relativity 
    Olyeynik, V.P. (Вопросы атомной науки и техники, 2012)
    We present the exact regular solution of vacuum Einstein equations, which may be interpreted as "mass without mass'' (geon – in terminology of J.A. Wheeler), moving along a straight line with constant velocity. The feature ...
  • On Regularized Solution for BBGKY Hierarchy of One-Dimensional Infinite System 
    Ryabukha, T.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We construct a regularized cumulant (semi-invariant) representation of a solution of the initial value problem for the BBGKY hierarchy for a one-dimensional infinite system of hard spheres interacting via a short-range ...
  • On regular torsionless S-posets 
    Khosravi, R. (Algebra and Discrete Mathematics, 2018)
    This paper shall be concerned with the notion of regular torsionless in the category of S-posets. Besides elementary basic properties of regular torsionless S-posets, we consider cyclic regular torsionless S-posets and ...
  • On relation between the autoemitter top field, anode voltage and cathode geometry 
    Stetsenko, B.V.; Shchurenko, A.I. (Вопросы атомной науки и техники, 2009)
    A field emission diode has been made up on the basis of a flat metal anode and pin cathode (of the height a) that is mounted on a flat metal plate parallel to the anode. The potential of the field emission diode has been ...