Dedicated to the Centenary of I.Javakhishvili Tbilisi State University (TSU)

& 50th Anniversary of I.Vekua Institute of Applied Mathematics (VIAM)

**George Jaiani**, *I. Vekua Institute of Applied Mathematics of TSU – 50*

**Tamaz Tadumadze and Omar Purtukhia**, *Mathematics at TSU *

**Pavel Exner**, *Quantum Hamiltonians Exhibiting a Spectral Transition*

**Dietmar Kröner**, *Numerical treatment of interfaces*

** Reinhold Kienzler**,

**Roland Duduchava **(Georgia). Mellin pseudodifferential equations in Bessel
potential spaces

**Lucian
Beznea** (Romania). Stochastic equation of
fragmentation and branching processes related to avalanches

**Holm Altenbach** (Germany). Modeling of Plastics and Composite Materials**
**

**Ramaz Botchorishvili, Tamar Janelidze** (Georgia). Hyperbolic model for
Helmholtz equation with impedance boundary conditions

**Alexander Schmitt **(Germany). Quivers: representations, bundles,
applications

**Alberto Cialdea** (Italy). The L^{p}-dissipativity of first order
partial differential operators

**David Natroshvili **(Georgia). Dynamical problems of generalized
thermo-electro-magneto-elasticity theory

**Grigor Giorgadze **(Georgia). Deformation of complex structures generalized
analytic function point of view

**Flavia Lanzara** (Italy). Recent Developments in the Computation of
High-Dimensional Volume Potentials Based on Approximate Approximations

**Tamaz Vashakmadze** (Georgia). To physical soundness of von Karman type
systems and Cauchy problems for evolutionary equations

**Michał Małafiejski** (Poland). Interval Edge Coloring of Bipartite Graphs with Degree Bounded by 4

**Petre Babilua, Elizbar Nadaraya** (Georgia). On Some Goodness-of-Fit
Tests Based on Wolverton-Wagner Type Estimates of Distribution Density

**Hermann Schulz-Baldes** (Germany). The Spectral Localizer for Even Index
Pairings

Jemal Antidze, *Programming at I.Vekua Institute of Applied Mathematics of TSU during 50 years*

Lamara Bitsadze, *The Dirichle BVP of the Theory of Thermoelasticity for the Sphere with Voids and Microtemperatures*

Teimuraz Davitashvili, *Analytical and Numerical study of Transient Gas Quasi-stationary Flow in Inclined and Branched Section of Pipeline*

Nana Dikhaminjia, Jemal Rogava, Mikheil Tsiklauri, *Decomposition Formulas for Cosine
Operator Function with Two and Multi-addend Argument*

Besik Dundua, Mircea Marin, *Solving Context Regular Language Equations*

Efim G. Evseev, *On my scientific Activities at VIAM*

Givi Geladze, *Some questions of mezometeorological problems numerical simulation*

Ushangi Goginava, Lasha Baramidze, *Convergence of logarithmic means of Fourier series*

Larry Gogoladze, Ekaterine Vekua, *On the approximation of continuous functions of two variables by Fourier angular partial sums*

Roman Janjgava, *Analytical and approximate solutions of some boundary value problems of the theory of elasticity and the theory of plates*

Kartlos J. Kachiashvili, *Constrained Bayesian Method (CBM): from the method of solving a practical problem to a new philosophy of statistical hypotheses testing*

Gela Kipiani, Revaz Kakhidze, Akaki Faresishvili, *Deformation and Stability of Having Ribs Shells*

Archil Papukashvili, Meri Sharikadze, *Construction and numerical realization of approximate solution algorithms for some nonlinear integro-differential equations*

Merab Pkhovelishvili, Natela Archvadze. *Application ATD matrices for the decision of difficult mathematical tasks on supercomputers*

Mikheil Rukhaia, *Rule-Based Techniques in Access Control*

Lali Tibua, Teimuraz DaviTashvili, Khimur Rukhaia, *Modeling of Natural event problems by Mathematical Logic Language*

Varden Tsutskiridze, *Steady Flows of Conductive Liquid in a Rectangular Channel*

Shota Zazashvili, Levan Giorgashvili, *Boundary Value Problems of statics of Thermoelasticity of Bodies with Microstructure and Microtemperatures*

Sevinj Valiyeva, *The first group of necessary conditions for the boundary value problem of the fourth-order partial differential equation*