T a b l e of c o n t e n t s SECTION 1-DEPARTMENT OF MATHEMATICS, INTER-DISCIPLINE (MATHEMATICS, COMPUTER SCIENCES) ....................................................................................................................... 12 Some Properties of Generalized Möbius-Listing’s Bodies ..................................................................................... 13 Ilia Tavkhelidze ........................................................................................................................................................ 13 On almost everywhere convergence of generalized Cesáro means of trigonometric Fourier series ..................... 14 Teimuraz Akhobadze and Shalva Zviadadze ............................................................................................................ 14 On the modulus of continuity of k-th order of conjugate functions ..................................................................... 16 A.Danelia ................................................................................................................................................................. 16 Sum range of a quaternion serirs ......................................................................................................................... 17 G. Chelidze, G. Giorgobiani, and V. Tarieladze ........................................................................................................ 17 Special Fourier series .......................................................................................................................................... 18 L.Gogoladze and V.Tsagareishvili ........................................................................................................................ 18 Convergence of general Fourier series ................................................................................................................. 19 1 L.Gogoladze and V.Tsagareishvili .......................................................................................................................... 19 Absolute convergence of double Fourier trigonometric series ........................................................................... 20 Rusudan Meskhia ................................................................................................................................................... 20 On the strong summability almost ewerywhere of series with respect to block-orthonormal systems ............... 21 Givi Nadibaidze ........................................................................................................................................................ 21 Maximal multiplier operetors in variable Lebesgue spaces .................................................................................. 22 Tengiz Kopaliania, Amiran Gogatishvilib ................................................................................................................... 22 On the average number of representations of a natural number by the genus of binary quadratic forms ........... 23 Teimuraz Vepkhvadze ............................................................................................................................................. 23 Proper representations of (multivariate) linear differential systems ................................................................... 24 Vakhtang Lomadze .................................................................................................................................................. 24 On the space of generalized theta-series ............................................................................................................. 25 KetevanShavgulidze ................................................................................................................................................ 25 Invariant tensors related to isotropy irreducible homogeneous Riemann spaces ................................................ 26 R.M. Surmanidze ..................................................................................................................................................... 26 On one problem of American option pricing ........................................................................................................ 27 Babilua P.,Gogolashvili D., Dochviri B., Jaoshvili V. ................................................................................................. 27 On the Testing Hypothesis of Equality Distribution Densities .............................................................................. 29 Elizbar Nadarayaa,Petre Babiluab,Grigol Sokhadzeb ................................................................................................ 29 Stochastic models with Gaussian martingale. Optimal forecasting. ..................................................................... 30 Khechinashvili Zaza.................................................................................................................................................. 30 Stochastic integral representations of Brownian functionals ............................................................................... 31 Omar Purtukhia ....................................................................................................................................................... 31 Some claces of simple sets ................................................................................................................................. 33 Roland Omanadze ................................................................................................................................................... 33 Some Combinatorial Properties of Hamel Functions ............................................................................................ 35 Archil Kipiani............................................................................................................................................................ 35 Topological Spaces of monadic MV-algebras ....................................................................................................... 36 Revaz Grigolia a, Antonio Di Nola b .......................................................................................................................... 36 Oscillation Criteria for Difference Equations with Several Delay Arguments ........................................................ 37 Roman Koplatadze .................................................................................................................................................. 37 On the Well-Posedness of the Cauchy Problem for One Class of Neutral Functional Differential Equation with Distributed Prehistory ......................................................................................................................................... 38 Tamaz Tadumadze .................................................................................................................................................. 38 Hierarchical Models for Porous Elastic and Viscoelastic Kelvin-Voigt Prismatic Shells ....................................... 39 George Jaiani ........................................................................................................................................................... 39 2 Vekua;s dimension reduction method for the third model of prismatic shells ..................................................... 39 Natalia Chinchaladze ............................................................................................................................................... 39 Algorithmic problems for class-2 nilpotent MR-groups ........................................................................................ 41 Mikheil Amaglobeli , Vladimir Remeslennikov ........................................................................................................ 41 Construction of unknown full-strength contours for the problem of plane elasticity theory ............................... 42 Nana Odishelidze..................................................................................................................................................... 42 One Generalization of Nonlocal Contact Problem for Poisson's Equation in Rectangular Area ............................ 43 Tinatin Davitashvilia, Hamlet Meladzeb ................................................................................................................... 43 On nonlocal problem for ultraparabolic equation ................................................................................................ 44 Gia Avalishvili a, Mariam Avalishvili b ....................................................................................................................... 44 About splitting semi-discrete scheme for an evolutionary equation with variable operator into two-layer schemes ............................................................................................................................................................... 45 Jemal Rogavaa , Romeo Galdavab, David Guluac...................................................................................................... 45 A numerical algorithm of solving a nonlinear Kirchhoff string equation and its error ......................................... 46 Jemal Peradze.........................................................................................................................................................