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Book of Abstracts Turkish Mathematical Society Van Y¨uz¨unc¨uYıl University Caucasian Mathematics Conference CMC II BOOK OF ABSTRACTS Van, TURKEY August 22 - 24, 2017 2 Van, August 22-24, 2017 Organizers: Turkish Mathematical Society Van Y¨uz¨unc¨uYıl University European Mathematical Society Armenian Mathematical Union Azerbaijan Mathematical Union Georgian Mathematical Union Iranian Mathematical Society Moscow Mathematical Society Sponsors: Van Y¨uz¨unc¨uYıl University Ipekyolu_ Municipality Steering Committee: Sandra Di Rocco (Chair of the EMS Committee for European Solidarity) Mohammed Ali Dehghan (President of Iranian Mathematical Society) Roland Duduchava (President of the Georgian Mathematical Union) Tigran Harutyunyan (President of the Armenian Mathematical Union) Misir Jamayil oglu Mardanov (Representative of the Azerbaijan Mathematical Union) Pavel Exner (President of the European Mathematical Society) Armen Sergeev (Representative of the Moscow Mathematical Society and EMS) Bet¨ulTanbay ( President of the Turkish Mathematical Society) Scientific Advisory Committee: Maria J. Esteban (Paris-Dauphine University, Paris) Garib N. Murshudov (MRC Laboratory of Molecular Biology, Cambridge) Dmitri Orlov (Steklov Institute, Moscow) Samson Shatashvili (Trinity College, Dublin) Leon Takhtajan (University of Stony Brook, New York) Cem Yalcin Yildirim (Bogazici University, Istanbul) Local Organizing Committee: Peyami Battal (Honorary, President of Van Y¨uz¨unc¨uYıl University) Ayse Berkman (Vice Chair, Mimar Sinan Fine Arts University) Zeynep Kayar (Local, Van Y¨uz¨unc¨uYıl University) Bet¨ulTanbay (Ex-officio - Chair, Bo˘gazi¸ciUniversity) Ali Hakan Tor (Local, Abdullah G¨ulUniversity) Cemil Tunc (Local, Van Y¨uz¨unc¨uYıl University) Ayberk Zeytin (Scientific Secretary, Galatasaray University) Editors: Zeynep Kayar (Van Y¨uz¨unc¨uYıl University) Ali Hakan Tor (Abdullah G¨ulUniversity) Caucasian Mathematics Conference, CMC II 3 Contents Acknowledgements 10 Abstracts of Invited Talks 11 SAEID AZAM, Extended affine Lie algebras . 12 ALEXANDER I. BUFETOV, Conditional measures of determinantal point pro- cesses: the Gibbs property and the Lyons-Peres conjecture . 12 PAVEL EXNER, Schr¨odingeroperators changing abruptly their spectral character 12 TIGRAN HARUTYUNYAN, About some problems in spectral theory of differ- ential operators . 13 EUGENE SHARGORODSKY, Negative eigenvalues of two-dimensional Schr¨odinger operators . 13 ALI_ ULGER,¨ On some theorems of Reiter/Varopoulos/Saeki/Helson, and sets of synthesis . 14 Abstracts of Invited Talks by Young Mathematicians (under 40) 15 AYNUR BULUT, Recent developments on deterministic and probabilistic well- posedness for nonlinear Schr¨odingerand wave equations . 16 BESIK CHIKVINIDZE, An extension of the mixed Novikov-Kazamaki condition 16 GEORGE CHKADUA, Asymptotic analysis of fundamental solutions of hypoel- liptic equations . 17 C¸AGRI˘ KARAKURT, Constructing and obstructing Stein cobordisms between singularity links . 18 BEHNAM KHOSRAVI, Comparison of Cayley graphs of semigroups and Cayley graphs of groups . 18 ROMAN PALVELEV, Scattering of vortices in Abelian Higgs models on Rie- mann surfaces . 19 Abstracts of Participants' Talks 20 ROGHAYEH ABDI, ESMAIEL ABEDI, NASRIN ABEDINI A summary on submanifolds of conformal Kenmotsu manifolds satisfying some conditions 21 NASRIN ABEDINI, ESMAIEL ABEDI, ROGHAYEH ABDI, A summary on Willmore submanifolds in space forms . 21 HABEEB ABOOD, NAWAF MOHAMMED, On projective curvature tensor of nearly cosymplectic manifold . 22 EDISON ABRAMIDZE, A numerical solution of non-linear deformation prob- lems of multilayered shells of revolution based on the refined theory . 22 FATEME AFSHARI, MOHAMMAD MAGHASEDI, Groups and chemical Cay- ley graphs . 23 ASGHAR AHMADKHANLU, Positive solutions for a new fractional boundary value problem . 23 IREM AKBULUT, CEMIL_ TUNC¸, On the stability of solutions of first order neutral differential equations by fixed point method . 24 ALI AKGUL, ESRA KARATAS AKGUL, Some new applications of reproducing kernel method . 25 LUTFI AKIN, YUSUF ZEREN, FARUK DUSUNCELI, Approximation to gen- eralized Riemann derivatives by integral operator families . 26 OSMAN ALAGOZ, BIROL GUNDUZ, SEZGIN AKBULUT, Fixed point of continuous mappings defined on an arbitrary interval . 27 MEHMET SERIF ALDEMIR, Reduced second Zagreb index of unicyclic graphs 27 4 Contents Van, August 22-24, 2017 FATEMA ALI, FERIHE ATALAN, Connectedness of the cut-system complex of nonorientable surfaces . 28 AMJAD ALIPANAH, HOGER GHAHRAMANI, Investigation matrices obtain- ing integrals involving polynomials and Daubechies scaling functions . 28 NAGEHAN ALSOY-AKGUN,¨ Numerical study of unsteady mixed convection of nanofluid in a lid-driven square cavity . 29 GULDEN¨ ALTAY, HANDAN OZTEK¨ IN,_ MAHMUT ERGUT,¨ TALAT KORPINAR,¨ Special associated curves in Galilean 4-Space G4 ............... 30 YENER ALTUN, CEMIL TUNC¸, Asymptotic properties of solutions to systems of neutral type differential equations with periodic coefficients . 31 GABIL AMIRALI, OMER¨ YAPMAN, Fitted difference method for singularly perturbed Volterra delay integro-differential equation . 31 MAJID AREZOOMAND, ALIREZA ABDOLLAHI, Totally 2-closed finite groups 32 DERYA ARSLAN, MUSA CAKIR, A robust numerical method for solving multi-point boundary value problem with boundary layer behavior . 33 MUZAFFER ATES, Novel stability and passivity analysis for nonlinear descrip- tor systems . 34 YILDIZ AYDIN, ALI PANCAR, On a problem of minimal non-FC-groups . 34 OZGUR AYDOGMUS, Transitions to instability in a logistic metapopulation model with nonlocal competition . 35 AMIR BAGHERI, Some properties of weakly finite modules . 36 ERDAL BAS, RAMAZAN OZARSLAN, Fractional second-order difference equa- tions . 36 SELC¸UK BAS¸, TALAT KORPINAR,¨ VEDAT ASIL, MUSTAFA YENEROGULU,˘ Dynamics in the Bishop framed . 37 ALI BAS¸HAN, N. MURAT YAGMURLU,˘ YUSUF UC¸AR, ALAATTIN ESEN, An effective approach to numerical soliton solutions for the Schr¨odinger equation via modified cubic B-spline differential quadrature method . 38 SENAY BAYDAS, BULENT KARAKAS, Simulations of mechanisms using Ge- oGebra and Matlab . 39 EMEL BICER, CEMIL_ TUNC, Asymptotic behaviours of non-linear functional differential equations with variable advanced arguments . 39 ENES ABDURRAHMAN BILGIN, LEVENT AKGUN,¨ SEYFULLAH HIZARCI, Mobile augmented reality application for the basic concepts of statistics . 40 C¸ I_GDEM˘ BIC¸ER,_ CELIL NEBIYEV, Strongly ⊕−supplemented lattices . 41 _ _ p TUNAY BILGIN, MAHMUT KARAKUS¸, αf -asymptotically Lacunary equiva- lent sequences spaces . 42 TENGIZ BUCHUKURI, ROLAND DUDUCHAVA, GEORGE TEPHNADZE, Laplace-Beltrami equation on hypersurfaces and Γ-convergence . 43 CEMIL_ BUY¨ UKADALI,¨ Existence of traveling wave solutions for a Keller-Segel model with population growth . 44 MUSA CAKIR, ERKAN CIMEN, Numerical solution of singularly perturbed nonlocal problem with delay . 44 ALI CAKMAK, Striction lines of non-developable ruled surfaces in Euclidean 3-space . 45 MURAT CANCAN, SULEYMAN¨ EDIZ,_ On the stratifed domination number of Mycielskians of some graphs . 46 CUMALI CATAL, ILHAN DAGADUR, Some direct and inverse theorems for deferred Riesz and deferred N¨orlundmeans . 47 ADEM CEBECI,_ MELIH_ GOCEN,¨ Form of the periodic solutions of some sys- tems of higher order difference equations . 47 Caucasian Mathematics Conference, CMC II 5 AKRAM CHEHRAZI, YOUSEF BAHRAMPOUR, A summary on the collapse of the wave function in the asymptotically flat space time . 48 OTAR CHKADUA, Asymptotic analysis of dynamical interface crack problems for metallic and electro-magneto-elastic composite structures . 49 SUMEYYE¨ C¸AKAN, UM¨ IT_ C¸AKAN, Functional interval integral equations of fractional order . 49 SINEM_ C¸ELIK_ ONARAN, Contact surgeries . 51 MUSTAFA DEDE, HATICE_ TOZAK, CUMALI_ EKIC_ I,Translation_ surfaces ac- cording to q-frame in Euclidean 3-space . 51 FATEMEH DEHGHANI-ZADEH, Tameness of graded generalized local coho- mology modules . 52 YILMAZ MEHMET DEMIRCI, ERGUL¨ TURKMEN,¨ Rings whose modules have a flat-locally projective cover . 53 ELIF_ DEMIRC_ I,_ A fractional order epidemic model with vaccination . 54 RIDVAN C. DEMIRKOL,_ VEDAT ASIL,_ TALAT KORPINAR,¨ M. TALAT SARIAYDIN, Total magnetic curves in 3D Riemannian manifolds . 54 NASIP_ DEMIRKUS¸,_ ENES ABDURRAHMAN BILG_ IN_ A new approach to the definitions and relations of the concepts of mathematics, eternity, infinity, death, time and the first point . 55 ISMA_ IL_ HAKKI DENIZLER,_ A complete semi-local commutative Noetherian ring related to an Artinian module, and duality . 56 ROLAND DUDUCHAVA, MEDEA TSAAVA, Mixed boundary value problems for the Laplace-Beltrami equation . 57 HAKKI DURU, AKBAR BARATI CHIYANEH, On adaptive mesh for the initial boundary value singularly perturbed delay Sobolev problems . 58 FARUK DUSUNCELI, ERCAN CELIK, LUTFI AKIN, Numerical solution for linear complex differantial equations via Pell matrix polynomial . 59 SULEYMAN¨ EDIZ,_ On the stratifed domination number of generalized Petersen graphs P (n; 1) and P (n; 2)........................... 59 OZLEM¨ ELMALI, ERDAL EKICI, On gδpr-open sets . 60 OZLEM¨ ELMALI, ERDAL EKICI, On the continuity with some conditions . 61 SULTAN ERDUR, CEMIL TUNC, On existence of periodic solutions of nonlin- ear differential equations of third order with multiple delays . 62 MAHMUT ERGUT,¨ TALAT KORPINAR,¨ GULDEN¨ ALTAY, HANDAN OZTEK¨ IN,_ Time-spherical particles of biharmonic particles and its transformations in Heisenberg spacetime . 63 SEVGI ESEN ALMALI, GUMRAH UYSAL, On a
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