IX International Conference of the Georgian Mathematical Union
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ÓÀØÀÒÈÅÄËÏÓ ÉÅÀÍÄ ãÀÅÀáÉÛÅÉËÉÓ ÓÀØÀÒÈÅÄËÏÓ ÁÀÈÖÌÉÓ ÛÏÈÀ ÒÖÓÈÀÅÄËÉÓ ÌÀÈÄÌÀÔÉÊÏÓÈÀ ÊÀÅÛÉÒÉ ÓÀáÄËÏÁÉÓ ÈÁÉËÉÓÉÓ ÖÍÉÅÄÒÓÉÔÄÔÉ ÓÀáÄËÌßÉ×Ï ÖÍÉÅÄÒÓÉÔÄÔÉ ÓÀáÄËÌßÉ×Ï ÖÍÉÅÄÒÓÉÔÄÔÉ Georgian Mathematical The University Batumi Shota Rustaveli Union Ivane Javakhishvili Tbilisi of Georgia State University State University ÓÀØÀÒÈÅÄËÏÓ ÌÀÈÄÌÀÔÉÊÏÓÈÀ ÊÀÅÛÉÒÉÓ IX ÓÀÄÒÈÀÛÏÒÉÓÏ ÊÏÍ×ÄÒÄÍÝÉÀ ÄÞÙÅÍÄÁÀ ÉÅÀÍÄ ãÀÅÀáÉÛÅÉËÉÓ ÓÀáÄËÏÁÉÓ ÈÁÉËÉÓÉÓ ÓÀáÄËÌßÉ×Ï ÖÍÉÅÄÒÓÉÔÄÔÉÓ ÃÀÀÒÓÄÁÉÓ ÌÄ-100 ßËÉÓÈÀÅÓ IX International Conference of the Georgian Mathematical Union Dedicated to 100-th Anniversary of Ivane Javakhishvili Tbilisi State University ÈÄÆÉÓÄÁÉÓÊÒÄÁÖËÉ BOOK OF ABSTRACTS ÓÐÏÍÓÏÒÄÁÉ: ÛÏÈÀ ÒÖÓÈÀÅÄËÉÓ ÄÒÏÅÍÖËÉ ÓÀÌÄÝÍÉÄÒÏ ×ÏÍÃÉ ÉÅÀÍÄ ãÀÅÀáÉÛÅÉËÉÓ ÈÁÉËÉÓÉÓ ÓÀáÄËÌßÉ×Ï ÖÍÉÅÄÒÓÉÔÄÔÉ ÓÀØÀÒÈÅÄËÏÓ ÖÍÉÅÄÒÓÉÔÄÔÉ Sponsors: Shota Rustaveli National Science Foundation Ivane Javakhishvili Tbilisi State University The University of Georgia ÁÀÈÖÌÉ – ÈÁÉËÉÓÉ, 3 – 8 ÓÄØÔÄÌÁÄÒÉ Batumi – Tbilisi, September 3 – 8 2018 ÓÀÏÒÂÀÍÉÆÀÝÉÏ ÊÏÌÉÔÄÔÉ: ÒÏËÀÍà ÃÖÃÖÜÀÅÀ (ÈÀÅÌãÃÏÌÀÒÄ), ÈÉÍÀÈÉÍ ÃÀÅÉÈÀÛÅÉËÉ (ÈÀÅÌãÃÏÌÀÒÉÓ ÌÏÀÃÂÉËÄ), ÂÉÏÒÂÉ ÔÄ×ÍÀÞÄ (ÈÀÅÌãÃÏÌÀÒÉÓ ÌÏÀÃÂÉËÄ), ÌÄÃÄÀ ÝÀÀÅÀ (ÓßÀÅËÖËÉ ÌÃÉÅÀÍÉ), ÈÄÍÂÉÆ ÁÖ- ÜÖÊÖÒÉ, ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÆÖÒÀÁ ÅÀÛÀÊÉÞÄ, ÍÖÂÆÀÒ ÊÄÒÄÓÄËÉÞÄ, ÏÌÀÒ ×ÖÒÈÖáÉÀ. ÀÃÂÉËÏÁÒÉÅÉ ÓÀÏÒÂÀÍÉÆÀÝÉÏ ÊÏÌÉÔÄÔÉ: ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÀÍÆÏÒ ÁÄÒÉÞÄ, ÒÖÓËÀÍ ÝÉÍÀÒÉÞÄ. Organizing Committee: Roland Duduchava (Chairman), Tinatin Davitashvili (Vice-Chair), George Tephnadze (Vice-Chair), Medea Tsaava (Scientific Secretary), Tengiz Buchukuri, Guram Gogishvili, Nugzar Kereselidze, Omar Purtukhia, Zurab Vashakidze. Local Organizers: Vladimer Baladze, Anzor Beridze, Ruslan Tsinaridze. ÓÀÌÄÝÍÉÄÒÏ ÊÏÌÉÔÄÔÉ: ÌÀËáÀÆ ÁÀÊÖÒÀÞÄ, ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÅÀáÔÀÍ ÂÏÂÏáÉÀ, ÈÄÉÌÖÒÀÆ ÃÀ- ÅÉÈÀÛÅÉËÉ, ÒÏËÀÍà ÃÖÃÖÜÀÅÀ, ÈÄÉÌÖÒÀÆ ÅÄ×áÅÀÞÄ, ÐÀÀÔÀ ÉÅÀÍÉÛÅÉËÉ, ÅÀáÔÀÍ ÊÅÀ- ÒÀÝáÄËÉÀ, ÀËÄØÓÀÍÃÒÄ ÊÅÉÍÉáÉÞÄ, ÀËÄØÓ ÊÉÒÈÀÞÄ, äÀÌËÄÔ ÌÄËÀÞÄ, ÉÖÒÉ ÌÏÅÓÉÓÉÀÍÉ, ÌÖÓÔÀ×À ÍÉÆÀÌÉ, ÃÀÅÉÈ ÍÀÔÒÏÛÅÉËÉ, áÉÌÖÒÉ ÒÖáÀÉÀ, ÀËÄØÓÀÍÃÒÄ ÓÏËÃÀÔÏÅÉ, ÅÀÑÀ ÔÀ- ÒÉÄËÀÞÄ, ÏÌÀÒ ×ÖÒÈÖáÉÀ, ÊÏÍÓÔÀÍÔÉÍÄ ×áÀÊÀÞÄ, ÒÄÉÍäÏËà ÛÍÀÉÃÄÒÉ, ÀäÌÄÔ ÏÊÄÉ ÜÄ- ËÄÁÉ, ÈÄÌÖÒ ÜÉËÀÜÀÅÀ, ÏÈÀÒ àÊÀÃÖÀ (ÈÀÅÌãÃÏÌÀÒÄ), ÈÄÌÖÒ ãÀÍÂÅÄËÀÞÄ. Scientific Committee: Malkhaz Bakuradze, Vladimer Baladze, Ahmet Okay Çelebi, Temur Chilachava, Otar Chkadua (Chairman), Teimuraz Davitashvili, Roland Duduchava, Guram Gogishvili, Vakhtang Gogokhia, Paata Ivanishvili, Temur Jangveladze, Alex Kirtadze, Vakhtang Kva- ratskhelia, Alexander Kvinikhidze, Hamlet Meladze, Yuri Movsisyan, David Natroshvi- li, Mustafa Nizami, Konstantin Pkhakadze, Omar Purtukhia, Khimuri Rukhaia, Rein- hold Schneider, Alexander Soldatov, Vaja Tarieladze, Teimuraz Vepkhvadze. ÒÄÃÀØÔÏÒÄÁÉ: ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÌÀÉÀ ÊÅÉÍÉÊÀÞÄ, ÌÀÉÀ ãÀ×ÏÛÅÉËÉ ÂÀÒÄÊÀÍÉÓ ÃÉÆÀÉÍÉ: ÃÀÅÉÈ ÓÖËÀØÅÄËÉÞÄ Editors: Guram Gogishvili, Maia Kvinikadze, Maia Japoshvili Cover Design: David Sulakvelidze Contents In Memoriam - áÓÏÅÍÀ 27 ÐÒÏ×ÄÓÏÒÉ ÂÅÀÍãÉ ÌÀÍÉÀ (1918 - 1985) .................... 27 Professor Gvanji Mania (1918 – 1985) .................... 37 Abstracts of Plenary and Invited Speakers 47 ÐËÄÍÀÒÖËÉ ÃÀ ÌÏßÅÄÖËÉ ÌÏÌáÓÄÍÄÁËÄÁÉÓ ÈÄÆÉÓÄÁÉ 47 Malkhaz Bakuradze, All Extensions of C2 by C2n × C2n are Good for the Morava K-Theory . 49 ÌÀËáÀÆ ÁÀÊÖÒÀÞÄ, C2 ãÂÖ×ÉÓ ÚÅÄËÀ ÂÀ×ÀÒÈÏÄÁÀ C2n ×C2n -ÉÈ ÊÀÒÂÉÀ ÌÏÒÀÅÀÓ K-ÈÄÏÒÉÀÛÉ .................................. 49 Mikhail Belishev, Sergei Simonov, Metric Spaces, Lattices, Atoms, and Models . 49 ÌÉáÄÉË ÁÄËÉÛÄÅÉ, ÓÄÒÂÄÉ ÓÉÌÏÍÏÅÉ, ÌÄÔÒÉÊÖËÉ ÓÉÅÒÝÄÄÁÉ, ÌÄÓÄÒÄÁÉ, ÀÔÏÌÄÁÉ ÃÀ ÌÏÃÄËÄÁÉ .................................. 49 Ahmet Okay Çelebi, Neumann Problem in Polydomains . 50 ÀäÌÄÔ ÏÊÄÉ ÜÄËÄÁÉ, ÍÄÉÌÀÍÉÓ ÀÌÏÝÀÍÀ ÐÏËÉÀÒÄÄÁÛÉ ............... 50 Roland Duduchava, Omar Purtukhia, 100 Years of Alma Mater . 51 ÒÏËÀÍà ÃÖÃÖÜÀÅÀ, ÏÌÀÒ ×ÖÒÈÖáÉÀ, ÀËÌÀ ÌÀÔÄÒÉÓ 100 ßÄËÉ ........ 51 Alexander Elashvili, Mamuka Jibladze, Frobenius Lie Algebras and q- Hypergeometric Functions . 51 ÀËÄØÓÀÍÃÒÄ ÄËÀÛÅÉËÉ, ÌÀÌÖÊÀ ãÉÁËÀÞÄ, ×ÒÏÁÄÍÉÖÓÉÓ ËÉÓ ÀËÂÄÁÒÄÁÉ ÃÀ q-äÉÐÄÒÂÄÏÌÄÔÒÉÖËÉ ×ÖÍØÝÉÄÁÉ ....................... 51 Paata Ivanishvili, A Problem about Partitions . 52 ÐÀÀÔÀ ÉÅÀÍÉÛÅÉËÉ, ÃÀÚÏ×ÉÓ ÐÒÏÁËÄÌÀ ...................... 52 Anastasia Kisil, Approximate Matrix Wiener–Hopf Factorisation and Appli- cations to Problems in Acoustics . 52 3 4 Batumi–Tbilisi, September 3–8, 2018 ÀÍÀÓÔÀÓÉÀ ÊÉÓÉËÉ, ÅÉÍÄÒ-äÏ×ÉÓ ÌÀÔÒÉÝÖËÉ ÌÉÀáËÏÄÁÉÈÉ ×ÀØÔÏÒÉÆÀÝÉÀ ÃÀ ÂÀÌÏÚÄÍÄÁÄÁÉ ÀÊÖÓÔÉÊÉÓ ÀÌÏÝÀÍÄÁÛÉ ...................... 52 Vladimir V. Kisil, Geometric Dynamics of a Harmonic Oscillator, Non-Admis- sible Mother Wavelets and Squeezed States . 53 ÅËÀÃÉÌÄÒ Å. ÊÉÓÉËÉ, äÀÒÌÏÍÉÖËÉ ÏÓÝÉËÀÔÏÒÉÓ ÂÄÏÌÄÔÒÉÖËÉ ÃÉÍÀÌÉÊÀ, ÃÀÖÛÅÄÁÄËÉ ÆÄÃÀ ÅÄÉÅËÄÔÄÁÉ ÃÀ ÛÄÒÚÄÖËÉ ÌÃÂÏÌÀÒÄÏÁÄÁÉ ........ 53 Vakhtang Kokilashvili, Integral Transforms on Measure Metric Spaces and Applications . 54 ÅÀáÔÀÍ ÊÏÊÉËÀÛÅÉËÉ, ÉÍÔÄÂÒÀËÖÒÉ ÂÀÒÃÀØÌÍÄÁÉ ÆÏÌÉÀÍ ÌÄÔÒÉÊÖË ÓÉÅÒÝÄ- ÄÁÆÄ ÃÀ ÂÀÌÏÚÄÍÄÁÄÁÉ .............................. 54 Alexander Kvinikhidze, Three-Body Equations in Quantum Field Theory . 55 ÀËÄØÓÀÍÃÒÄ ÊÅÉÍÉáÉÞÄ, ÓÀÌÍÀßÉËÀÊÏÅÀÍÉ ÂÀÍÔÏËÄÁÄÁÉ ÅÄËÉÓ ÊÅÀÍÔÖÒ ÈÄ- ÏÒÉÀÛÉ ..................................... 55 Yuri Movsisyan, Representations of Free Algebras of Varieties and Hyperva- rieties . 55 ÉÖÒÉ ÌÏÅÓÉÓÉÀÍÉ, ÌÒÀÅÀËÍÀÉÒÏÁÄÁÉÓ ÃÀ äÉÐÄÒÌÒÀÅÀËÍÀÉÒÏÁÄÁÉÓ ÈÀÅÉÓÖ×ÀËÉ ÀËÂÄÁÒÄÁÉÓ ßÀÒÌÏÃÂÄÍÄÁÉ .......................... 55 Giorgi Oniani, Differentiation of Integrals with respect to Translation Invariant Convex Density Bases . 56 ÂÉÏÒÂÉ ÏÍÉÀÍÉ, ÉÍÔÄÂÒÀËÈÀ ÃÉ×ÄÒÄÍÝÉÒÄÁÉÓ ÛÄÓÀáÄÁ ÞÅÒÉÓ ÌÉÌÀÒÈ ÉÍÅÀÒÉÀÍ- ÔÖËÉ ÀÌÏÆÍÄØÉËÉ ÓÉÌÊÅÒÉÅÉÓ ÁÀÆÉÓÄÁÉÓ ÌÉÌÀÒÈ ............... 56 Taras Panov, Right-Angled Polytopes, Hyperbolic Manifolds and Torus Actions 56 ÔÀÒÀÓ ÐÀÍÏÅÉ, ÌÀÒÈÊÖÈáÀ ÌÒÀÅÀËßÀáÍÀÂÄÁÉ, äÉÐÄÒÁÏËÖÒÉ ÌÒÀÅÀËÍÀÉÒÏÁÄÁÉ ÃÀ ÔÏÒÉÓ ÌÏØÌÄÃÄÁÄÁÉ ............................ 56 Andrey A. Shkalikov, Multipliers in Sobolev Spaces and Their Applications in the Theory of Differential Operators . 57 ÀÍÃÒÄÉ À. ÛÊÀËÉÊÏÅÉ, ÌÖËÔÉÐËÉÊÀÔÏÒÄÁÉ ÓÏÁÏËÄÅÉÓ ÓÉÅÒÝÄÄÁÛÉ ÃÀ ÌÀÈÉ ÂÀÌÏÚÄÍÄÁÄÁÉ ÃÉ×ÄÒÄÍÝÉÀËÖÒ ÏÐÄÒÀÔÏÒÈÀ ÈÄÏÒÉÀÛÉ ........... 57 Alexander Soldatov, The Riemann–Hilbert Problem for the Moisil–Teodoresku System . 58 ÀËÄØÓÀÍÃÒÄ ÓÏËÃÀÔÏÅÉ, ÒÉÌÀÍ-äÉËÁÄÒÔÉÓ ÀÌÏÝÀÍÀ ÌÏÉÓÉË-ÈÄÏÃÏÒÄÓÊÖÓ ÓÉÓÔÄÌÉÓÈÅÉÓ .................................. 58 Vaja Tarieladze, Compatible Topologies for Vector Spaces and Abelian Groups 60 ÅÀÑÀ ÔÀÒÉÄËÀÞÄ, ÈÀÅÓÄÁÀÃÉ ÔÏÐÏËÏÂÉÄÁÉ ÅÄØÔÏÒÖËÉ ÓÉÅÒÝÄÄÁÉÓÀ ÃÀ ÀÁÄËÉÓ ãÂÖ×ÄÁÉÓÀÈÅÉÓ ................................. 60 ÁÀÈÖÌÉ – ÈÁÉËÉÓÉ, 3–8 ÓÄØÔÄÌÁÄÒÉ, 2018 5 Vladimir Vershinin, Braids, Lie Algebras and Homotopy Groups of Spheres . 61 ÅËÀÃÉÌÉÒ ÅÄÒÛÉÍÉÍÉ, ÍÀßÍÀÅÄÁÉÓ ãÂÖ×ÄÁÉ, ËÉÓ ÀËÂÄÁÒÄÁÉ ÃÀ Ó×ÄÒÏÓ äÏÌÏ- ÔÏÐÉÉÓ ãÂÖ×ÄÁÉ ................................. 61 Vladimir A. Vladimirov, Vibrodynamics as the Best Part of Applied Math- ematics . 62 ÅËÀÃÉÌÉÒ Å. ÅËÀÃÉÌÉÒÏÅÉ, ÅÉÁÒÏÃÉÍÀÌÉÊÀ, ÒÏÂÏÒÝ ÂÀÌÏÚÄÍÄÁÉÈÉ ÌÀÈÄÌÀÔÉÊÉÓ ÓÀÖÊÄÈÄÓÏ ÍÀßÉËÉ .............................. 62 Richard Webb, How Non-Positively Curved is the Mapping Class Group? . 63 ÒÉÜÀÒà ÖÄÁÉ, ÒÏÂÏÒ ÀÒÉÓ ÀÒÀÃÀÃÄÁÉÈÉ ÂÀÌÒÖÃÄÁÀ ÀÓÀáÅÀÈÀ ÊËÀÓÉÓ ãÂÖ×É 63 Abstracts of Participants’ Talks 65 ÌÏÍÀßÉËÄÈÀ ÌÏáÓÄÍÄÁÄÁÉÓ ÈÄÆÉÓÄÁÉ 65 Elkhan Abbasov, Integral Modeling of the Filtration Process in Gas Wells . 67 ÄËáÀÍ ÀÁÀÓÏÅÉ, ×ÉËÔÒÀÝÉÉÓ ÐÒÏÝÄÓÄÁÉÓ ÉÍÔÄÂÒÀËÖÒÉ ÌÏÃÄËÉÒÄÁÀ ÂÀÆÉÓ àÄÁÛÉ ...................................... 67 Ariz Abdullayev, Rovshan Bandaliyev, On Embedding Theorems between Variable Morrey Spaces . 67 ÀÒÉÆ ÀÁÃÖËÀÄÅÉ, ÒÏÅÛÀÍ ÁÀÍÃÀËÉÄÅÉ, ÜÀÃÂÌÉÓ ÈÄÏÒÄÌÄÁÉ ÝÅËÀÃÉ ÌÏÒÄÉÓ ÓÉÅÒÝÄÄÁÓ ÛÏÒÉÓ ................................ 67 S. E. Abdullayev, S. A. Bayramov, Inverse System in the Category of Intuitionistic Fuzzy Soft Modules . 68 Ó. Ä. ÀÁÃÖËÀÄÅÉ, Ó. À. ÁÀÉÒÀÌÏÅÉ, ÉÍÅÄÒÓÉÖËÉ ÓÉÓÔÄÌÀ ÉÍÔÖÉÝÉÖÒ ÀÒÀÌÊÅÄÈÒ ÓÖÓÔÉ ÌÏÃÖËÄÁÉÓ ÊÀÔÄÂÏÒÉÀÛÉ ........................ 68 Vladimer Adeishvili, Ivane Gokadze, Several New Inequalities about the Average . 69 ÅËÀÃÉÌÄÒ ÀÃÄÉÛÅÉËÉ, ÉÅÀÍÄ ÂÏØÀÞÄ, ÒÀÌÃÄÍÉÌÄ ÀáÀËÉ ÖÔÏËÏÁÀ ÓÀÛÖÀËÏÈÀ ÛÄÓÀáÄÁ ..................................... 69 Shota Akhalaia, On the Stochastic Property of the Continuous Transforma- tions of Metric Compacts with n-adic Property . 70 ÛÏÈÀ ÀáÀËÀÉÀ, ÌÄÔÒÉÊÖËÉ ÊÏÌÐÀØÔÄÁÉÓ ÖßÚÅÄÔÉ n-ÀÃÖÒÉ ÂÀÒÃÀØÌÍÄÁÉÓ ÓÔÏ- ØÀÓÔÖÒÏÁÉÓ ÛÄÓÀáÄÁ .............................. 70 Teimuraz Aliashvili, Topology of Quadratic Endomorphisms of the Plane . 71 ÈÄÉÌÖÒÀÆ ÀËÉÀÛÅÉËÉ, ÓÉÁÒÔÚÉÓ ÊÅÀÃÒÀÔÖË ÄÍÃÏÌÏÒ×ÉÆÌÈÀ ÔÏÐÏËÏÂÉÀ . 71 Akbar B. Aliev, Asif F. Pashayev, The Mixed Problem for a System of Nonlinear Wave Equations with q-Laplasian Operators . 72 6 Batumi–Tbilisi, September 3–8, 2018 ÀÊÁÀÒ Á. ÀËÉÄÅÉ, ÀÓÉ× ×. ÐÀÛÀÄÅÉ, ÛÄÒÄÖËÉ ÀÌÏÝÀÍÀ q-ËÀÐËÀÓÉÀÍÉ ÏÐÄÒÀ- ÔÏÒÄÁÉÈ ÂÀÍÓÀÆÙÅÒÖËÉ ÔÀËÙÉÓ ÂÀÍÔÏËÄÁÀÈÀ ÓÉÓÔÄÌÄÁÉÓÀÈÅÉÓ ..... 72 B. A. Aliev, Solvability of a Boundary Value Problem for a Second Order Differential-Operator Equation with a Complex Parameter . 73 Á. À. ÀËÉÄÅÉ, ÊÏÌÐËÄØÓÖÒÐÀÒÀÌÄÔÒÉÀÍÉ ÌÄÏÒÄ ÒÉÂÉÓ ÃÉ×ÄÒÄÍÝÉÀËÖÒ-ÏÐÄÒÀ- ÔÏÒÖËÉ ÓÀÓÀÆÙÅÒÏ ÀÌÏÝÀÍÉÓ ÀÌÏáÓÍÀÃÏÁÀ ................. 73 Alireza Alizadediz, Optical Solutions in Higher Order Nonlinear Schrödinger Dynamical Equation . 74 ÀËÉÒÄÆÀ ÀËÉÆÀÃÄÃÉÆ, ÌÀÙÀËÉ ÒÉÂÉÓ ÀÒÀßÒ×ÉÅÉ ÛÒÏÃÉÍÂÄÒÉÓ ÃÉÍÀÌÉÊÖÒÉ ÂÀÍÔÏËÄÁÉÓ ÏÐÔÉÊÖÒÉ ÀÌÏÍÀáÓÍÄÁÉ ..................... 74 ÀÌÉÒÀÍ ÀÌÁÒÏËÀÞÄ, ÌÀÈÄÌÀÔÉÊÖÒÉ ÉÍÃÖØÝÉÀ ................... 74 Amiran Ambroladze, Mathematical Induction . 74 Ali Armandnejad, Column Sum Majorization . 75 ÀËÉ ÀÒÌÀÍÃÍÄãÀÃÉ, ÓÅÄÔÄÁÉÓ ãÀÌÉÓ ÌÀÑÏÒÉÒÄÁÀ ................. 75 Malkhaz Ashordia, Nato Kharshiladze, On the Solvability of the Modifi- cation Cauchy Problem for Systems of Linear Impulsive Differential Equa- tions with Singularities . 76 ÌÀËáÀÆ ÀÛÏÒÃÉÀ, ÍÀÔÏ áÀÒÛÉËÀÞÄ, ÓÉÍÂÖËÀÒÏÁÄÁÉÀÍ ßÒ×ÉÅ ÉÌÐÖËÓÖÒ ÂÀÍÔÏËÄÁÀÈÀ ÓÉÓÔÄÌÄÁÉÓÀÈÅÉÓ ÊÏÛÉÓ ÌÏÃÉ×ÉÝÉÒÄÁÖËÉ ÀÌÏÝÀÍÉÓ ÀÌÏá- ÓÍÀÃÏÁÉÓ ÛÄÓÀáÄÁ ............................... 76 Hamidulla Aslanov, Nigar Gadirli, On Asymptotics