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  • On a classical solvability of a Florin problem 
    Bizhanova, G.I. (Український математичний вісник, 2008)
    There is considered the multidimensional two-phase Stefan problem with a small parameter k at the velocity of a free boundary in a Stefan condition. The unique solvability and coercive uniform with respect to k estimate ...
  • On a class of nonuniformly nonlinear systems with Dirichlet boundary conditions 
    Afrouzi, G.A.; Naghizadeh, Z.; Chung, N.T. (Український математичний журнал, 2014)
    The existence and multiplicity of weak solutions for some nonuniformly nonlinear elliptic systems are obtained by using the minimum principle and the Mountain-pass theorem.
  • On a Class of Verblunsky Parameters that Corresponds to Guseinov's Class of Jacobi Parameters 
    Golinskii, L.; Kheifets, A.; Peherstorfer, F.; Yuditskii, P. (Журнал математической физики, анализа, геометрии, 2010)
  • On a common generalization of symmetric rings and quasi duo rings 
    Subedi, T.; Roy, D. (Algebra and Discrete Mathematics, 2020)
    Let J(R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a, b, c ∈ R, abc = 0 implies bac ∈ J(R). It turns out that J-symmetric rings are a common generalization of left (right) quasi-duo ...
  • On a continued fraction of order twelve 
    Vasuki, K.R.; Abdulrawf, A.A. Kahtan; Sathish Kumar, C. (Український математичний журнал, 2010)
    We present some new relations between a continued fraction U(q) of order 12 (established by M. S. M. Naika et al.) and U(q n) for n = 7, 9, 11, 13.
  • On a Convergence of Formal Power Series Under a Special Condition on the Gelfond-Leont'ev Derivatives 
    Sheremeta, M.M.; Volokh, O.A. (Журнал математической физики, анализа, геометрии, 2007)
    For a formal power series the conditions on the Gelfond-Leont'ev derivatives are found, under which the series represents a function, analytic in the disk {z : |z| < R}, 0 < R ≤ +∞.
  • On a correlation between EPR data for SASeD doped with Cr³⁺ and soft modes 
    Lipinski, I.E.; Kuriata, J.; Korynevskii, N.A. (Condensed Matter Physics, 2007)
    EPR experimental results obtained for SASeD doped with Cr³⁺ are reported with special emphasis on those observations which reveal the effect of soft modes i.e. the temperature dependence of the DZZ spin- Hamiltonian ...
  • On Action Invariance under Linear Spinor-Vector Supersymmetry 
    Shima, K.; Tsuda, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. ...
  • On action of outer derivations on nilpotent ideals of Lie algebras 
    Maksimenko, D.V. (Algebra and Discrete Mathematics, 2009)
    Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent ...
  • On Addition Formulae for Sigma Functions of Telescopic Curves 
    Ayano, T.; Nakayashiki, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    A telescopic curve is a certain algebraic curve defined by m−1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n,s) curve as a special case. We extend the addition formulae for sigma ...
  • On Addition Formulae of KP, mKP and BKP Hierarchies 
    Shigyo, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and ...
  • On a deformation diameter of Dynkin diagrams 
    Bondarenko, V.M.; Bondarenko, V.V.; Lisykevych, V.A.; Pereguda, Y.M. (Algebra and Discrete Mathematics, 2015)
    We introduce the notion of a deformation distance and calculate the diameter of Dynkin diagrams respect to this distance.
  • On a doped transition layer in the space charge region of Schottky contact 
    Shekhovtsov, L.V. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2002)
    A technique is proposed for estimation of maximal thickness of a doped semiconductor transition layer in a Schottky contact. It is based on taking spectral curves of transverse photovoltage. It is shown that in gallium ...
  • On a factorization of an iterated wreath product of permutation groups 
    Bajorska, B.; Sushchansky, V. (Algebra and Discrete Mathematics, 2014)
    We show that if each group of permutations (Gi, Mi), i ∈ N has a factorization then their infinite iterated wreath product ≀i₌₁∞Gi also has a factorization. We discuss some properties of this factorization and give examples.
  • On a Family of 2-Variable Orthogonal Krawtchouk Polynomials 
    Grünbaum, F.A.; Rahman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We give a hypergeometric proof involving a family of 2-variable Krawtchouk polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008), 089, 18 pages] as a limit of the 9−j symbols of quantum angular momentum ...
  • On a feature of temperature dependence of contact resistivity for ohmic contacts to n-Si with an n⁺ -n doping step 
    Sachenko, A.V.; Belyaev, A.E.; Boltovets, N.S.; Vinogradov, A.O.; Pilipenko, V.A.; Petlitskaya, T.V.; Anischik, V.M.; Konakova, R.V.; Korostinskaya, T.V.; Kostylyov, V.P.; Kudryk, Ya.Ya.; Lyapin, V.G.; Romanets, P.N.; Sheremet, V.N. (Semiconductor Physics Quantum Electronics & Optoelectronics, 2014)
    We present both theoretical and experimental temperature dependences of contact resistivity ρс(Т) for ohmic contacts to the silicon n⁺ -n-structures whose n⁺ -layer was formed using phosphorus diffusion or ion implantation. ...
  • On Affine Fusion and the Phase Model 
    Walton, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A brief review is given of the integrable realization of affine fusion discovered recently by Korff and Stroppel. They showed that the affine fusion of the su(n) Wess-Zumino-Novikov-Witten (WZNW) conformal field theories ...
  • On Affine Immersions with Flat Connections 
    Shugailo, O.O. (Журнал математической физики, анализа, геометрии, 2012)
    In this paper, the multidimensional affine immersions with °flat connections of maximal pointwise codimension are studied. The estimates on the dimensions of kernel and the image of the shape (Weingarten) operator and the ...
  • On a Fourier problem for evolution differential-functional equations with nonlocal boundary conditions 
    Bokalo, M.; Dmytriv, V. (Нелинейные граничные задачи, 2003)
    The boundary value problems with nonlocal boundary conditions have been treated in many works. Individually, Day [1] while studying quasistatic thermoelasticity posed a model involving parabolic equation with nonlocal ...
  • On Agarwal–Pang-type integral inequalities 
    Zhao, C.J.; Bencze, M. (Український математичний журнал, 2012)
    We establish some new Agarwal–Pang-type inequalities including second-order partial derivatives. In special cases, our results yield some correlated results and provide new estimates for the inequalities of this type.