On Modern Problems in Applied Mathematics




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International Conference

on

Modern Problems in Applied Mathematics


Dedicated to the


90th Anniversary of the

Iv. Javakhishvili Tbilisi State University

&

40th Anniversary of the

I. Vekua Institute of Applied Mathematics


7-9 October, 2008, Tbilisi


Program




International Conference

on

"Modern Problems in Applied Mathematics"


Dedicated to the 90th Anniversary of the

Iv. Javakhishvili Tbilisi State University

and

40th Anniversary of the I.Vekua Institute of Applied Mathematics


ORGANIZERS 


Iv. Javakhishvili Tbilisi State University

Faculty of Exact and Natural Sciences

I.Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University

Georgian Mathematical Union

Georgian  National  Committee of  Theoretical  and  Applied  Mechanics

Tbilisi International Centre of Mathematics and Informatics


International Scientific Committee 


Fikret Aliev (Azerbaijan), Nikoloz Avazashvili, Lenser Aghalovyan (Armenia), George Akhalaya, Mikheil Amaglobeli, Jemal Anthidze, Akaki Arsenashvili, Matias Baas (Austria), Mikheil Basheleyshvili, Vagarshak Belubekyan (Armenia), Ramaz Botchorishvili, Natalia Chinchaladze (Secretary), Ana Danelia, Teimuraz Davitashvili, Robert P. Gilbert (USA), Ushangi Goginava, Leri Gogoladze, David Gordeziani, Paolo Podio-Guidugli (Italy), George Hsiao (USA), George Jaiani (Chairman), Temuri Jangveladze, Alexandre Kharazishili, Sergo Kharibegashvili, Nuri Khomasuridze, Archil Kipiani, Gela Kipiani, Kamil Mansimov (Azerbaijan), Tengiz Meunargia, Bernadette Miara (France), Elizbar Nadaraya, David Natroshvili, Khimur Rukhaya, Jemal Peradze, Omar Purtukhia, Ketevan Shavgulidze, Tamaz Tadumadze, Merab Svanadze, Jondo Sharikadze, Nodar Valishvili, Tamaz Vashakmadze


LOCAL ORGANIZING COMMITTEE 


Nikoloz Avazashvili, Natalia Chinchaladze (Vice-Chairman), Temur Davitashvili, George Geladze, Manana Gvaramadze, George Jaiani (Chairman), Albert Katamadze, Gela Kipiani (Vice -Chairman), Khimur Rukhaya (Vice -Chairman), Jondo Sharikadze (Vice -Chairman), Mary Sharikadze, Tengiz Tetunashvili, Manana Tevdoradze, Lali Tibua, George Todua (Secretary)


Editor: Natalia Chinchaladze




saerTaSoriso konferencia


gamoyenebiTi maTematikis Tanamedrove problemebi


eZRvneba


iv. javaxiSvilis saxelobis Tbilisis saxelmwifo universitetis 90 wlisTavs

da

i. vekuas saxelobis gamoyenebiTi maTematikis institutis 40 wlisTavs


7-9 oqtomberi, 2008, Tbilisi


p r o g r a m a




saerTaSoriso konferencia




"gamoyenebiTi maTematikis Tanamedrove problemebi"


eZRvneba


iv. javaxiSvilis saxelobis Tbilisis saxelmwifo

universitetis 90 wlisTavs

i. vekuas saxelobis gamoyenebiTi maTematikis institutis 40 wlisTavs


organizatorebi 


iv. javaxiSvilis sax. Tbilisis saxelmwifo universiteti

zusti da sabunebismetyvelo mecnierebaTa fakulteti

i. vekuas sax. gamoyenebiTi maTematikis instituti

saqarTvelos maTematikosTa kavSiri

saqarTvelos erovnuli komiteti Teoriul da gamoyenebiT meqanikaSi

Tbilisis saerTaSoriso centri maTematikasa da informatikaSi


saerTaSoriso samecniero komiteti 

fikret alievi (azerbaijani), nikoloz avazaSvili, lenser agaloviani (somxeTi), giorgi axalaia, mixeil amaRlobeli, jemal anTiZe, akaki arsenaSvili, matias baasi (avstria), mixeil baSeleiSvili, vagarSak belubekiani (somxeTi), ramaz boWoriSvili, robert p. gilberti (aSS), uSangi goginava, leri gogolaZe, daviT gordeziani, paolo podio guiduli (italia), Teimuraz daviTaSvili, ana danelia, Tamaz TadumaZe, nodar valiSvili, Tamaz vaSaymaZe, qamil mansimovi (azerbaijani), bernadet miara (safrangeTi), Tengiz meunargia, elizbar nadaraia, daviT natroSvili, ximur ruxaia, merab svanaZe, jemal feraZe, omar furTuxia, arCil yifiani, gela yifiani, qeTevan SavguliZe, jondo SariqaZe, jorj So (aSS), natalia CinCalaZe (mdivani), aleqsandre xaraziSvili, sergo xaribegaSvili, nuri xomasuriZe, giorgi jaiani (Tavmjdomare), Temuri jangvelaZe


lokaluri saorganizacio komiteti 

nikoloz avazaSvili, giorgi gelaZe, manana gvaramaZe, Temur daviTaSvili, manana TevdoraZe, giorgi Todua (mdivani), ximur ruxaia (Tavmjdomaris moadgile), Tengiz tetunaSvili, lali tibua, albert qaTamaZe, gela yifiani (Tavmjdomaris moadgile), jondo SariqaZe (Tavmjdomaris moadgile), meri SariqaZe, natalia CinCalaZe (Tavmjdomaris moadgile), giorgi jaiani (Tavmjdomare)


redaqtori: natalia CinCalaZe

Tuesday, 7 October


Ilia Vekua Lecture Hall (VIAM)


1100-1150

Opening Session


Section: Function Theory


(Chairmen: Goginava U., Gogoladze L., Cochairman: Danelia A.)


Room 316 (TSU, Building 10)


Tuesday, 7 October


Chairman: Oniani G.


14-1500

Vakhania N., Kvaratskhelia V., On unconditional convergence in Banach spaces with unconditional bases

15-1535

Chelidze G., On Nordlander’s conjecture in the three-dimensional case

1540-1610

Danelia A., On the modulus of continuity of k-th order of conjugate functions of many variables

1615-1645

Oniani G., Tsibadze L., Integral representation of analytic and pluriharmonic functions in the unit ball


Wednesday, 8 October


1335-1430 BREAK


Chairman: Tsagareishvili V.


14-1500

Goginava U., Maximal operators of Fejer means , the restricted maximal operators of Fejer means of double Walsh-Fourier series

15-1535

Akhobadze T., On the summability of Fourier trigonometric series by the generalized Cesaro method

1540-1610

Kopaliani T., Chelidze G., On the approximation for existence of positive solutions of second order linear difference equations

1615 – 1645

Nadibaidze G., On Weyl multipliers for almost everywhere summability of double block-orthogonal series

1650 - 1720

Gogoladze L., Tsagareishvili V., On the sufficient conditions of absolute convergence of double trigonometric series


Section: Complex Analysis and its Applications


(Chairman: Meunargia T., Cochairman: Akhalaia G.)


Council Room (VIAM)


Tuesday, 7 October


Chairman: Meunargia T.


12-1230

Bantsuri R., Plane elasticity theory problems with partially unknown boundaries

12-1305

Kutateladze G., Elastic equilibration of semi-plane with straight line cut

13-1340

Chokoraia D., The mixed boundary value problem for the spherical zone, when the displacement vector is independent from the thickness coordinate


1345-14 BREAK


14-1500

Janjgava R., Zirakashvili N., About construction of analytic and numerical solutions of some plane boundary value problem for mixture theory

15-1535

Akhalaia G., Manjavidze N., Cauchy-Lebesque classes for Q-holomorphic vectors

1540-1610

Meunargia T., On the integration of the differential equations system for nonlinear and non-shallow shells

Wednesday, 8 October


Chairman: Akhalaia G.


11-1130

Kokilashvili V., Paatashvili V., On Vekua’s inte­­g­ral representation of holomorphic fun­c­tions and their derivatives

11-1205

Gordadze E., On the problem of linear conju­ga­tion for some boundary lines

12-1240

Giorgadze G., On some problems in the theo­ry of generalized analytic functions

12-1330

Khimshiashvili G., Holomorphic curves in loop spaces of 3-folds


1335-1430 BREAK


14-1500

Aliashvili T., Complex points of two-dimensio­nal surfaces

15-1535

Jiqia V., On one boundary value problem

1540-1610

Makatsaria G., Non-isolateness and infini­te­ness of the orders of zeroes of the generalized analytic functions

1615- 1645

Qaldani N., Some properties of the generalized power functions

1650- 1720

Shubladze M., On the topology of singularities of analytic functions of several complex variables


Section: Differential Equations and Optimal Control


(Chairman: Tadumadze T., Cochairman: Arsenashvili A.)


Room 234 (VIAM)


Tuesday, 7 October


Chairman: Tadumadze T.

Secretary: Iordanishvili M.


12-1230

Aliev F. , Velieva N., Optimization of the system with static feedback by output variable

12-1305

Koplatadze R., On a singular boundary value problem for the integro-differential equations

13-1340

Mammadova G.H., Mammadov Sh.T., Solution of the controllability problem for the two-parametric bilinear sequential machines
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