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VIII Annual International Conference of the Georgian Mathematical Union

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VIII Annual International Conference of the Georgian Mathematical Union ÓÀØÀÒÈÅÄËÏÓ ÁÀÈÖÌÉÓ ÛÏÈÀ ÒÖÓÈÀÅÄËÉÓ ÌÀÈÄÌÀÔÉÊÏÓÈÀ ÊÀÅÛÉÒÉ ÓÀáÄËÌßÉ×Ï ÖÍÉÅÄÒÓÉÔÄÔÉ Georgian Mathematical Batumi Shota Rustaveli Union State University ÓÀØÀÒÈÅÄËÏÓ ÌÀÈÄÌÀÔÉÊÏÓÈÀ ÊÀÅÛÉÒÉÓ VIII ÚÏÅÄËßËÉÖÒÉ ÓÀÄÒÈÀÛÏÒÉÓÏ ÊÏÍ×ÄÒÄÍÝÉÀ VIII Annual International Conference of the Georgian Mathematical Union ÈÄÆÉÓÄÁÉÓ ÊÒÄÁÖËÉ BOOK OF ABSTRACTS ÁÀÈÖÌÉ, 4 – 8 ÓÄØÔÄÌÁÄÒÉ Batumi, September 4 – 8 2017 ÓÀÏÒÂÀÍÉÆÀÝÉÏ ÊÏÌÉÔÄÔÉ: ÒÏËÀÍà ÃÖÃÖÜÀÅÀ (ÈÀÅÌãÃÏÌÀÒÄ), ÈÉÍÀÈÉÍ ÃÀÅÉÈÀÛÅÉËÉ (ÈÀÅÌãÃÏÌÀÒÉÓ ÌÏÀÃÂÉËÄ), ÌÄÃÄÀ ÝÀÀÅÀ (ÓßÀÅËÖËÉ ÌÃÉÅÀÍÉ), ÈÄÍÂÉÆ ÁÖÜÖÊÖÒÉ, ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÍÖÂÆÀÒ ÊÄÒÄÓÄËÉÞÄ, ËÄÅÀÍ ÓÉÂÖÀ, ÂÉÏÒÂÉ ÔÄ×ÍÀÞÄ. ÀÃÂÉËÏÁÒÉÅÉ ÓÀÏÒÂÀÍÉÆÀÝÉÏ ÊÏÌÉÔÄÔÉ: ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÀÍÆÏÒ ÁÄÒÉÞÄ, ÒÖÓËÀÍ ÝÉÍÀÒÉÞÄ. Organizing Committee: Roland Duduchava (Chair), Tinatin Davitashvili (Vice-Chair), Medea Tsaava (Scientific Secretary), Tengiz Buchukuri, Guram Gogishvili, Nugzar Kere- selidze, Levan Sigua, George Tephnadze. Local Organizers: Vladimer Baladze, Anzor Beridze, Ruslan Tsinaridze. ÓÀÐÒÏÂÒÀÌÏ ÊÏÌÉÔÄÔÉ: ÌÀËáÀÆ ÁÀÊÖÒÀÞÄ, ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÂÖÒÀÌ ÂÏÂÉÛÅÉËÉ, ÈÄÉÌÖÒÀÆ ÃÀÅÉÈÀÛÅÉËÉ, ÒÏËÀÍà ÃÖÃÖÜÀÅÀ, ÈÄÌÖÒ ÅÄ×áÅÀÞÄ, ÅÀáÔÀÍ ÊÅÀÒÀÝáÄËÉÀ, ÀËÄØÓÀÍÃÒÄ ÊÅÉÍÉáÉÞÄ, äÀÌËÄÔ ÌÄ- ËÀÞÄ, ÃÀÅÉÈ ÍÀÔÒÏÛÅÉËÉ, áÉÌÖÒÉ ÒÖáÀÉÀ, ÅÀÑÀ ÔÀÒÉÄËÀÞÄ, ÛÀØÒÏ ÔÄÔÖÍÀÛÅÉËÉ, ÏÌÀÒ ×ÖÒÈÖáÉÀ, ÊÏÍÓÔÀÍÔÉÍÄ ×áÀÊÀÞÄ, ÍÖÂÆÀÒ ÛÀÅËÀÚÀÞÄ, ÈÄÌÖÒ ÜÉËÀÜÀÅÀ, ÏÈÀÒ àÊÀÃÖÀ (ÈÀÅÌãÃÏÌÀÒÄ), ÈÄÌÖÒ ãÀÍÂÅÄËÀÞÄ. Scientific Committee: Malkhaz Bakuradze, Vladimer Baladze, Otar Chkadua (Chairman), Temur Chilachava, Teimuraz Davitashvili, Roland Duduchava, Guram Gogishvili, Temur Jangveladze, Vakh- tang Kvaratskhelia, Alexander Kvinikhidze, Hamlet Meladze, David Natroshvili, Kon- stantin Pkhakadze, Omar Purtukhia, Khimuri Rukhaia, Nugzar Shavlakadze, Vaja Tari- eladze, Shaqro Tetunashvili, Temur 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 25 ÐÒÏ×ÄÓÏÒÉ ÒÄÅÀÆ ÀÁÓÀÅÀ – 70 .......................... 25 Professor Revaz Absava – 70 .......................... 28 Abstracts of Plenary and Invited Speakers 31 ÐËÄÍÀÒÖËÉ ÃÀ ÌÏßÅÄÖËÉ ÌÏÌáÓÄÍÄÁËÄÁÉÓ ÈÄÆÉÓÄÁÉ 31 Vladimer Baladze, Anzor Beridze, Ruslan Tsinaridze, On Algebraic and Geometric Properties of Continuous Maps and Applications . 33 ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÀÍÆÏÒ ÁÄÒÉÞÄ, ÒÖÓËÀÍ ÝÉÍÀÒÉÞÄ, ÖßÚÅÄÔÉ ÀÓÀáÅÄÁÉÓ ÀËÂÄÁÒÖËÉ ÃÀ ÂÄÏÌÄÔÒÉÖËÉ ÈÅÉÓÄÁÄÁÉ ÃÀ ÂÀÌÏÚÄÍÄÁÀÍÉ ......... 33 Otar Chkadua, Mixed and Crack Type Dynamical Problems of the Ther- mopiezoelectricity Theory Without Energy Dissipation . 34 ÏÈÀÒ àÊÀÃÖÀ, ÈÄÒÌÏ-ÐÉÄÆÏ-ÃÒÄÊÀÃÏÁÉÓ ÈÄÏÒÉÉÓ ÛÄÒÄÖËÉ ÃÀ ÁÆÀÒÉÓ ÔÉÐÉÓ ÃÉÍÀÌÉÊÉÓ ÀÌÏÝÀÍÄÁÉ ÄÍÄÒÂÉÉÓ ÃÉÓÉÐÀÝÉÉÓ ÂÀÒÄÛÄ .............. 34 Roland Duduchava, Medea Tsaava, Mixed Boundary Value Problems for the Laplace–Beltrami Equation . 35 ÒÏËÀÍà ÃÖÃÖÜÀÅÀ, ÌÄÃÄÀ ÝÀÀÅÀ, ÛÄÒÄÖËÉ ÓÀÓÀÆÙÅÒÏ ÀÌÏÝÀÍÄÁÉ ËÀÐËÀÓ- ÁÄËÔÒÀÌÉÓ ÂÀÍÔÏËÄÁÉÓÀÈÅÉÓ ......................... 35 Lasha Ephremidze, Ilya Spitkovsky, On Multivariate Matrix Spectral Fac- torization Algorithm . 36 ËÀÛÀ Ä×ÒÄÌÉÞÄ, ÉËÉÀ ÓÐÉÔÊÏÅÓÊÉ, ÌÀÔÒÉÝÉÓ ÓÐÄØÔÒÀËÖÒÉ ×ÀØÔÏÒÉÆÀÝÉÉÓ ÛÄÓÀáÄÁ ÌÒÀÅÀËÉ ÝÅËÀÃÉÓ ÛÄÌÈáÅÄÅÀÛÉ .................... 36 Vakhtang Gogokhia, Gergely Gábor Barnaföldi, The Dynamical Struc- ture of the QCD Ground State . 38 ÅÀáÔÀÍ ÂÏÂÏáÉÀ, ÂÄÒÂÄËÉ ÂÀÁÏÒ ÁÀÒÍÀ×ÏËÃÉ, ÊÅÀÍÔÖÒÉ ØÒÏÌÏÃÉÍÀÌÉÊÉÓ ÞÉÒÉÈÀÃÉ ÌÃÂÏÌÀÒÄÏÁÉÓ ÃÉÍÀÌÉÖÒÉ ÓÔÒÖØÔÖÒÀ .............. 38 3 4 Batumi, September 4–8, 2017 Alexander E. Guterman, Matrix Centralizers and Their Applications . 39 ÀËÄØÓÀÍÃÒ Ä. ÂÖÔÄÒÌÀÍÉ, ÌÀÔÒÉÝÖËÉ ÝÄÍÔÒÀËÉÆÀÔÏÒÄÁÉ ÃÀ ÌÀÈÉ ÂÀÌÏÚÄÍÄ- ÁÄÁÉ ....................................... 39 Estate Khmaladze, Fold-up Derivatives of Set-Valued Functions: Its Defini- tion and Applications . 39 ÄÓÔÀÔÄ áÌÀËÀÞÄ, ÌÒÀÅÀË ÌÍÉÛÅÍÄËÏÁÉÀÍÉ ×ÖÍØÝÉÄÁÉÓ ÃÀÊÄÝÉËÉ ßÀÒÌÏÄÁÖËÄÁÉ: ÌÀÈÉ ÂÀÍÌÀÒÔÄÁÀ ÃÀ ÂÀÌÏÚÄÍÄÁÀ ........................ 39 Vakhtang Kokilashvili, Extrapolation, Singular Integrals, Applications to the BVPs ...................................... 41 ÅÀáÔÀÍ ÊÏÊÉËÀÛÅÉËÉ, ÄØÓÔÒÀÐÏËÀÝÉÀ, ÓÉÍÂÖËÀÒÖËÉ ÉÍÔÄÂÒÀËÄÁÉ ÃÀ ÌÀÈÉ ÂÀÌÏÚÄÍÄÁÄÁÉ ÓÀÓÀÆÙÅÒÏ ÀÌÏÝÀÍÄÁÛÉ ..................... 41 Yusuf Abu Muhanna, Harmonic Univalent Maps and Pseudo-Hyperbolic Dis- tance . 41 ÉÖÓÖ× ÀÁÖ ÌÖäÀÍÀ, äÀÒÌÏÍÉÖËÉ ÖÍÉÅÀËÄÍÔÖÒÉ ÀÓÀáÅÄÁÉ ÃÀ ×ÓÄÅÃÏ-äÉÐÄÒÁÏ- ËÖÒÉ ÌÀÍÞÉËÉ ................................. 41 Vaja Tarieladze, Stefan Banach and Georgia (Dedicated to Stefan Banach’s 125 Birthday Anniversary) . 42 ÅÀÑÀ ÔÀÒÉÄËÀÞÄ, ÓÔÄ×ÀÍ ÁÀÍÀáÉ ÃÀ ÓÀØÀÒÈÅÄËÏ (ÌÉÞÙÅÍÉËÉ ÓÔÄ×ÀÍ ÁÀÍÀáÉÓ ÃÀÁÀÃÄÁÉÃÀÍ 125 ßËÉÓÈÀÅÉÓÀÃÌÉ) ...................... 42 George Tephnadze, Convergence and Summability of Vilenkin–Fourier Series in the Martingale Hardy Spaces . 43 ÂÉÏÒÂÉ ÔÄ×ÍÀÞÄ, ÅÉËÄÍÊÉÍ-×ÖÒÉÄÓ ÌßÊÒÉÅÉÓ ÊÒÄÁÀÃÏÁÀ ÃÀ ÛÄãÀÌÄÁÀÃÏÁÀ ÌÀÒÔÉÍÂÀËÖÒ äÀÒÃÉÓ ÓÉÅÒÝÄÄÁÛÉ ....................... 43 Shakro Tetunashvili, On Universal Series of Functions . 44 ÛÀØÒÏ ÔÄÔÖÍÀÛÅÉËÉ, ÖÍÉÅÄÒÓÀËÖÒÉ ×ÖÍØÝÉÖÒÉ ÌßÊÒÉÅÄÁÉ ........... 44 Nodari Vakhania, José Crispín Zavala-Díaz, Some Deterministic and Sto- chastic Estimations for Measuring Efficiency of Algorithms . 44 ÍÏÃÀÒ ÅÀáÀÍÉÀ, áÏÓÄ ÊÒÉÓÐÉÍ ÓÀÅÀËÀ-ÃÉÀÓÉ, ÀËÂÏÒÉÈÌÄÁÉÓ Ä×ÄØÔÖÒÏÁÉÓ ÂÀÆÏÌÅÉÓ ÆÏÂÉÄÒÈÉ ÃÄÔÄÒÌÉÍÉÓÔÖËÉ ÃÀ ÓÔÏØÀÓÔÖÒÉ ÛÄ×ÀÓÄÁÀ ...... 44 Abstracts of Participants’ Talks 47 ÌÏÍÀßÉËÄÈÀ ÌÏáÓÄÍÄÁÄÁÉÓ ÈÄÆÉÓÄÁÉ 47 Akbar B. Aliev, Gunay I. Yusifova, On the Nonexistence of Global Solu- tions of Cauchy Problem for a Class of System of Nonlinear Hyperbolic Equations with Positive Initial Energy . 49 ÁÀÈÖÌÉ, 4–8 ÓÄØÔÄÌÁÄÒÉ, 2017 5 ÀÊÁÀÒ Á. ÀËÉÄÅÉ, ÂÖÍÀÉ É. ÉÖÓÉ×ÏÅÀ, ÊÏÛÉÓ ÀÌÏÝÀÍÉÓ ÂËÏÁÀËÖÒÉ ÀÌÏÍÀáÓÍÄÁÉÓ ÀÒÀÒÓÄÁÏÁÀ ÀÒÀßÒ×ÉÅÉ äÉÐÄÒÁÏËÖÒÉ ÂÀÍÔÏËÄÁÀÈÀ ÓÉÓÔÄÌÀÈÀ ÊËÀÓÉÓÀ- ÈÅÉÓ ÃÀÃÄÁÉÈÉ ÓÀßÚÉÓÉ ÄÍÄÒÂÉÉÈ ....................... 49 Bahram A. Aliev, Solvability of a Boundary Value Problem for Second Order Elliptic Differential-Operator Equations . 50 ÁÀäÒÀÌ À. ÀËÉÄÅÉ, ÌÄÏÒÄ ÒÉÂÉÓ ÄËÉ×ÓÖÒÉ ÃÉ×ÄÒÄÍÝÉÀËÖÒ–ÏÐÄÒÀÔÏÒÖËÉ ÂÀÍÔÏËÄÁÄÁÉÓÀÈÅÉÓ ÃÀÓÌÖËÉ ÓÀÓÀÆÙÅÒÏ ÀÌÏÝÀÍÉÓ ÀÌÏáÓÍÀÃÏÁÀ ..... 50 Ziyatkhan Seyfaddin Aliyev, Rada Alirza Huseynova, Global Bifurcation in Some Nonlinearizable Eigenvalue Problems with Indefinite Weight . 51 ÆÉÀÔáÀÍ ÓÄÉ×ÀÃÉÍ ÀËÉÄÅÉ, ÒÀÃÀ ÀËÉÒÆÀ äÖÓÄÉÍÏÅÀ, ÂËÏÁÀËÖÒÉ ÁÉ×ÖÒ- ÊÀÝÉÀ ÆÏÂÉÄÒÈ ÀÒÀÂÀßÒ×ÉÅÄÁÀà ÓÀÊÖÈÒÉÅÉ ÌÍÉÛÅÍÄËÏÁÄÁÉÓ ÀÌÏÝÀÍÄÁÛÉ ÂÀÍÖÓÀÆÙÅÒÄËÉ ßÏÍÄÁÉÈ ........................... 51 Ziyatkhan Seyfaddin Aliyev, Nazim Bakhish Kerimov, Spectral Proper- ties for the Equation of Vibrating Rod on Right End of which an Inertial Load is Concentrated . 53 ÆÉÀÔáÀÍ ÀËÉÄÅÉ, ÍÀÆÉÌ ÊÄÒÉÌÏÅÉ, ÒáÄÅÀÃÉ ÙÄÒÏÓ ÂÀÍÔÏËÄÁÉÓ ÓÐÄØÔÒÀËÖÒÉ ÈÅÉÓÄÁÄÁÉ, ÒÏÃÄÓÀÝ ÙÄÒÏÓ ÌÀÒãÅÄÍÀ ÁÏËÏÆÄ ÌÏØÌÄÃÄÁÓ ÛÄÚÖÒÓÖËÉ ÉÍÄÒÝÉÖËÉ ÃÀÔÅÉÒÈÅÀ ............................. 53 Sertan Alkan, Kenan Yildirim, A Collocation Method for Solving Fractional Bratu-Type Equation . 54 ÓÄÒÔÀÍ ÀËÊÀÍÉ, ÊÄÍÀÍ ÉËÃÉÒÉÌÉ, ßÉËÀÃÖÒ ÁÒÀÔÖÓ ÔÉÐÉÓ ÂÀÍÔÏËÄÁÀÈÀ ÀÌÏáÓÍÉÓ ÊÏËÏÊÀÝÉÉÓ ÌÄÈÏÃÉ ........................ 54 Sertan Alkan, Kenan Yildirim, Solving a System of Nonlinear Fractional Integro-Differential Equations . 54 ÓÄÒÔÀÍ ÀËÊÀÍÉ, ÊÄÍÀÍ ÉËÃÉÒÉÌÉ, ÀÒÀßÒ×ÉÅÉ ßÉËÀÃÖÒÉ ÉÍÔÄÂÒÏ–ÃÉ×ÄÒÄÍÝÉ- ÀËÖÒ ÂÀÍÔÏËÄÁÀÈÀ ÓÉÓÔÄÌÉÓ ÀÌÏáÓÍÀ .................... 54 Mikheil Amaglobeli, Nilpotent Exponential MR-Groups . 55 ÌÉáÄÉË ÀÌÀÙËÏÁÄËÉ, ÍÉËÐÏÔÄÍÔÖÒÉ ÄØÓÐÏÍÄÍÝÉÀËÖÒÉ MR-ãÂÖ×ÄÁÉ ..... 55 ÀÌÉÒÀÍ ÀÌÁÒÏËÀÞÄ, ÃÉÓÊÖÓÉÀ ÔÄÓÔÖÒÉ ÂÀÌÏÝÃÄÁÉÓ ÛÄÓÀáÄÁ .......... 56 Amiran Ambroladze, A Discussion about Multiple Choice Tests . 56 Malkhaz Ashordia, Nino Topuridze, On the H-Wellposedness of the Sin- gular Cauchy Problem for Systems of Linear Generalized Differential Equa- tions . 56 ÌÀËáÀÆ ÀÛÏÒÃÉÀ, ÍÉÍÏ ÈÏ×ÖÒÉÞÄ, ÂÀÍÆÏÂÀÃÄÁÖË ÜÅÄÖËÄÁÒÉÅ ßÒ×ÉÅ ÃÉ×Ä- ÒÄÍÝÉÀËÖÒ ÂÀÍÔÏËÄÁÀÈÀ ÓÉÓÔÄÌÄÁÉÓÈÅÉÓ ÊÏÛÉÓ ÓÉÍÂÖËÀÒÖËÉ ÀÌÏÝÀÍÉÓ H-ÊÏÒÄØÔÖËÏÁÉÓ ÛÄÓÀáÄÁ .......................... 56 6 Batumi, September 4–8, 2017 Lydia Außenhofer, On Compatible Group Topologies on LCA Groups . 58 ËÉÃÉÀ ÀÖÓÓÄÍäÏ×ÄÒÉ, LCA ãÂÖ×ÄÁÆÄ ÈÀÅÓÄÁÀà ãÂÖ×ÈÀ ÔÏÐÏËÏÂÉÄÁÉÓ ÛÄÓÀáÄÁ ...................................... 58 Mahin Azizi karachi, Alireza Fakharzadeh, Esmail Hesameddini, Ana- lysing Drug Therapy on the Interaction Between Tumor and Immune Cells Based on Fractional Differential Equations, and Optimal Control Theory . 58 ÌÀäÉÍ ÀÆÉÆÉ ÊÀÒÀÜÉ, ÀËÉÒÄÆÀ ×ÀáÀÒÆÀÃÄ, ÉÓÌÀÉË äÄÓÀÌÄÃÉÍÉ, ×ÒÀØÝÉÖËÉ ÃÉ×ÄÒÄÍÝÉÀËÖÒÉ ÂÀÍÔÏËÄÁÄÁÉÓ ÃÀ ÏÐÔÉÌÀËÖÒÉ ÌÀÒÈÅÉÓ ÈÄÏÒÉÀÆÄ ÃÀ×ÖÞÍÄÁÖËÉ ÓÉÌÓÉÅÍÉÓÀ ÃÀ ÉÌÖÍÖÒÉ ÖãÒÄÃÄÁÉÓ ÖÒÈÉÄÒÈØÌÄÃÄÁÉÓ ÌÄ- ÃÉÊÀÌÄÍÔÖÒÉ ÈÄÒÀÐÉÉÓ ÀÍÀËÉÆÉ ........................ 58 Petre Babilua, Elizbar Nadaraya, On Integral Square Deviations Between Kernel Type Estimates of a Distribution Density in p ≥ 2 Independent Samples . 60 ÐÄÔÒÄ ÁÀÁÉËÖÀ, ÄËÉÆÁÀÒ ÍÀÃÀÒÀÉÀ, ÂÀÍÀßÉËÄÁÉÓ ÓÉÌÊÅÒÉÅÉÓ ÂÖËÏÅÀÍ ÛÄ×À- ÓÄÁÀÈÀ ÉÍÔÄÂÒÀËÖÒÉ ÊÅÀÃÒÀÔÖËÉ ÂÀÃÀáÒÄÁÉÓ ÛÄÓÀáÄÁ p ≥ 2 ÃÀÌÏÖÊÉ- ÃÄÁÄË ÛÄÒÜÄÅÄÁÛÉ ................................ 60 Petre Babilua, Mzevinar Patsatsia, Inquiry-Based Teaching in Mathematics 61 ÐÄÔÒÄ ÁÀÁÉËÖÀ, ÌÆÄÅÉÍÀÒ ×ÀÝÀÝÉÀ, ÊÅËÄÅÀÆÄ ÃÀ×ÖÞÍÄÁÖËÉ ÓßÀÅËÄÁÀ ÌÀÈÄÌÀ- ÔÉÊÀÛÉ ...................................... 61 Giorgi Baghaturia, Marina Menteshashvili, Non-Linear Versions of Cha- racteristic Problems for the Second Order PDEs of Mixed Type . 62 ÂÉÏÒÂÉ ÁÀÙÀÈÖÒÉÀ, ÌÀÒÉÍÀ ÌÄÍÈÄÛÀÛÅÉËÉ, ÌÄÏÒÄ ÒÉÂÉÓ ÛÄÒÄÖËÉ ÔÉÐÉÓ ÊÄÒÞÏßÀÒÌÏÄÁÖËÉÀÍÉ ÃÉ×ÄÒÄÍÝÉÀËÖÒÉ ÂÀÍÔÏËÄÁÄÁÉÓ ÌÀáÀÓÉÀÈÄÁÄËÉ ÀÌÏ- ÝÀÍÄÁÉÓ ÀÒÀßÒ×ÉÅÉ ÅÄÒÓÉÄÁÉ .......................... 62 Malkhaz Bakuradze, On Addition Formulas Related to Elliptic Genera . 63 ÌÀËáÀÆ ÁÀÊÖÒÀÞÄ, ÄËÉ×ÓÖÒ ÂÅÀÒÄÁÈÀÍ ÃÀÊÀÅÛÉÒÄÁÖËÉ ÛÄÊÒÄÁÉÓ ×ÏÒÌÖËÄÁÉ 63 Vladimer Baladze, Zviad Giorgadze, On Axiomatic Characterization of Bifunctor Homology Theory in the sense of Hu . 63 ÅËÀÃÉÌÄÒ ÁÀËÀÞÄ, ÆÅÉÀà ÂÉÏÒÂÀÞÄ, äÖÓ ÁÉ×ÖÍØÔÏÒÖËÉ äÏÌÏËÏÂÉÉÓ ÈÄÏÒÉÉÓ ÀØÓÉÏÌÀÔÖÒÉ ÃÀáÀÓÉÀÈÄÁÀ ........................... 63 Grigor Barsegian, Initiating a New Trend in Complex Equations Studying Solutions in a Given Domain: Problems,
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