Informacia

Tema 1.5. wamaxvilebuli filebisa da Zelebis Teoriis maTematikuri problemebis gamokvleva (Semsrulebeli – daviT natroSvili).

miRebuli Sedegi. Seswavlilia myari drekadi sxeulisa da siTxis urTirTqmedebis dina­mi­kis amocanebi. damtkicebulia erTaderTobisa da arsebobis Teoremebi la­plasis gardaqmnisa da laqs-milgramis Teoremis gamoyenebiT. Ses­wav­li­lia maTematikuri modeli, rodesac drekadi sxeuli warmoadgens Txeli prizmuli garsis formis CarTvas. am SemTxvevaSi, drekad areSi ga­mo­yenebulia i.vekuas Teoria drekadi velis aRsawerad, romlis sa­Su­a­lebiTac ZiriTadi sasazRvro-sakontaqto amocanis Seswavla daiy­va­ne­ba aralokaluri tipis sasazRvro amocanaze stoqsis sistemisaTvis Wrilis Se­mcveli aris SemTxvevaSi. damtkicebulia am aralokaluri tipis sa­saz­Rvro amocanis amonaxsnis erTaderTobisa da arsebobis Teoremebi.

Tema 1.6. Termodinamikis wrfivi Teoriis sawyis-sasazRvro amocanebis gamokvleva (Semsrulebeli – merab svanaZe).

miRebuli Sedegi. agebulia dinamikis wrfivi modeli orgvari forovnobis mqone drekadi sxeulisaTvis. miRebulia am modelis mdgradi rxevis gantolebaTa sistemis fundamentaluri amonaxsni elementaruli funqciebis saSualebiT da dadgenilia am amonaxsnis ZiriTadi Tvisebebi. Seswavlilia orgvari forovnobis mqone drekad sxeulSi brtyeli talRebis gavrcelebis sakiTxi. damtkicebulia

mdgradi rxevis Siga amocanebSi sakuTrivi rxevis sixSireebis arsebobis sakiTxi.

Tema 1.7. hidro-magnitodinamikis sasazRvro fenis amocanebis gamokvleva (Semsrulebeli – jondo SariqaZe).

miRebuli Sedegi. Seswavlilia sasazRvro fenis rogorc stacionaruli, ise arastacionaruli amocanebi Zlieri magnituri velis da garsmden zedapirSi siTxis Zlieri gaJonvis gaTvaliswinebiT.

Tema 1.8. gadatanis Teoriis integro-diferencialuri gantolebebis gamokvleva (Semsrulebeli – dazmir Sulaia).

miRebuli Sedegi. Seswavlilia gadatanis mravaljgufuri Teoriis bazisuri maxasiaTebeli gantolebisaTvis garkveuli azriT misi eqvivalenturi, speqtraluri elementebis Semcveli axali integraluri gantolebis gamoyenebis sakiTxi. agebulia formulebi, romelTa saSualebiT xdeba maxasiaTebeli gantolebis sakuTrivi funqciebis, sakuTriv ricxvTa speqtris da speqtraluri simkvrivis gansazRvra aRniSnuli gantolebis da mravaljgufuri Teoriis sxva maxasiaTebeli gantolebis sakuTrivi funqciebis, sakuTriv ricxvTa speqtris da speqtraluri simkvrivis daxmarebiT.     

  Tema 1.9. siTxisa da drekadi sxeulis urTierTqmedebis dinamikis gamokvleva (Semsrulebeli – sergo xaribegaSvili).

miRebuli Sedegi. Seswavlilia siTxis da drekadi sxeulis urTierTqmedebis dinamikis amocana, rodesac sxeuli warmoadgens Txel aramudmivi sisqis firfitas, risTvisac gamoyenebulia i. vekuas ierarqiuli modeli N=0 aproqsimaciis SemTxvevaSi.

Tema 1.10. drekadobis Teoriisa da hidromeqanikis zogierTi gamoyenebiTi xasiaTis sasazRvro da sasazRvro-sakontaqto amocanis amonaxsnis ageba (Semsrulebeli – nuri xomasuriZe).

miRebuli Sedegi. amoxsnilia amocana drekadi sxeulis SigniT aRebul zedapirze winaswar dasaxelebuli daZabuli mdgomareobis miRebis Sesaxeb sxeulis sasazRvro zedapirze saTanado sasazRvro pirobebis SerCevis saSualebiT.

Tema 1.11. drekadobis maTematikuri Teoriis organzomilebiani satesto amocanebis da kompleqsuri analizis monaTesave sakiTxebis gamokvleva (Semsrulebeli – nikoloz avazaSvili).

miRebuli Sedegi. kompleqsur ricxvTa velze ganxiluli algebruli polinomisaTvis dadgenilia misi fesvebis modulebidan udidesis da umciresis gamosaTvleli formulebi.

Tema 1.12. pirveli rigis elifsuri sistemebisaTvis sasazRvro amocanebis gamokvleva (Semsrulebeli – giorgi axalaia).

miRebuli Sedegi. kompleqsur sibrtyeze ganxilulia pirveli rigis elifsuri sistemebi, romlebic literaturaSi cnobilia ganzogadoebuli beltramis sistemebis saxeliT da warmoadgenen b. boiarskis mier adre Seswavlili sistemebis ganzogadoebas. aRniSnuli sistemebis ganzogadoebul amonaxsnebs ganzoga­doebuli QQ- holomorfuli veqtorebi ewodebaT. Semoyvanilia da Seswavlilia ganzogadoebuli koSi-lebegis integralebis saxiT warmodgenadi ganzogadebulQ Q – holomorful veqtorTa klasebi, romlebic wyvetili sasazRvro amocanebis Seswavlis bunebriv klasebs warmoadgenen. miRebuli Sedegebis sailustraciod amoxsnilia dirixles saxecvlili sasazRvro amocana erTi zogadi kvaziwrfivi elifsuri sistemisaTvis. Seswavlilia agreTve sibrtyeze pirveli rigis zogadi elifsuri sistemisaTvis liuvilis Teoremis analogebis samarTlianobis sakiTxi.

Tema 1.13. uwyveti garemos meqanikis gamoyenebiTi xasiaTis amocanebis analizuri amoxsna da ricxviTi amonaxsnebis ageba (Semsrulebeli – naTela ziraqaSvili).

miRebuli Sedegi. Seswavlilia sasazRvro da sasazRvro-sakontaqto amocanebi elifsuri xvrelis mqone da wrfivi bzarebiT dasustebuli drekadi sxeulebisaTvis, romlebic gamoyenebas pouloben gvirabebis gaTvlisas.

Tema 1.14. drekadi narevis Teoriis Zabvis amocanis gamokvleva mrudwirulWrilebiani transversalurad izotropuli sibrtyisaTvis (Semsrulebeli – lamara biwaZe).

miRebuli Sedegi. ganxilulia drekad narevTa Teoriis meore sasazRvro amocana transversalurad izotropuli usasrulo sibrtyisaTvis mrudwiruli WrilebiT (roca sibrtye Seicavs mrudwirul Wrilebs da Wrilis napirebze mocemulia Zabvis veqtoris zRvruli MmniSvnelobebi). potencialTa meTodisa da singularul integralur gantolebaTa Teoriis gamoyenebiT dasmuli amocanis amoxsna dayvanilia integraluri gantolebis amoxsnaze. damtkicebulia fredholmis Teoremebis samarTlianoba miRebuli integraluri gantolebisaTvis.

Tema 1.15. Termodrekadi narevis Teoriis sasazRvro da sasazRvro-sakontaqto amocanebis amonaxsnebis ageba konkretuli areebisaTvis cxadi saxiT da maTi ricxviTi realizacia (Semsrulebeli – ivane cagareli).

miRebuli Sedegi. mwkrivebis saxiT agebulia orkomponentiani Termodrekadi narevis statikis sasazRvro-sakontaqto amocanebis amonaxsnebi mravalfeniani rgolisa da wrisaTvis, agreTve statikis sakontaqto amocana Termodrekadi narevisaTvis uban-uban erTgvarovan drekad sibrtyeze, rodesac sakontaqto wiri wrewiria.

Tema 1.16. sxvadasxva biofizikuri procesebis maTematikuri modelireba (Semsrulebeli –nino xatiaSvili).

miRebuli Sedegi. ganxilulia RerZsimetriuli amocana elifsur gantolebaTa sistemisTvis cilindrSi, romelic gaWrilia brunviTi elifsoidis gaswvriv, Sereuli sasazRvro pirobebiT aris sazRvarze. amocana Seswavlil iqna konformul asaxvaTa da integralur gantolebaTa meTodiT. zogierT keZo SemTxvevaSi miRebulia efeqturi amonaxsnebi. ganxiluli amocana gamoyenebas poulobs cocxali organizmis kapilarsa da mis mimdebare qsovilebs Soris nivTierebaTa cvlis procesis maTematikuri modelirebisas.

Tema 1.17. narevTa Teoriis zogierTi amocanis gamokvleva (Semsrulebeli – roman janjRava).

miRebuli Sedegi. sasazRvro elementTa meTodis gamoyenebiT agebulia binarul narevTa wrfivi Teoriis gamoyenebiTi xasiaTis brtyeli sasazRvro amocanebis ricxviTi amonaxsnebi.
garda amisa, pirveli samecniero mimarTulebiT Tsu zusti da sabunebismetyvelo mecnierebebis fakultetis maTematikis departamentis pirveli kursis magistrantebi ikvlevdnen:

boris maistrenko – Sinagani sakontaqto Seyursuli Zalis garkveul SemTxvevebSi warmoqmnis SesaZleblobebis sakiTxs wamaxvilebuli prizmuli sxeulebisaTvis (i. vekuas ierarqiuli modelebis nulovani miaxloebis bazaze);

oTar Citaia _ specialuri saxis wamaxvilebis mqone prizmuli garsisaTvis sasazRvro amocanebis koreqtulad dasmis sakiTxs.

mimarTuleba 2. maTematikuri modelireba da gamoTvliTi maTematika (xelmZRvanelebi – daviT gordeziani, Tamaz vaSaymaZe). muSavdeboda 7 individua­luri samec­niero-kvleviTi Tema.

Tema 2.1. ionosferosa da magnitosferoSi didmasStabiani wanacvlebiTi zonaluri dinebebis da magnituri velebis generaciis fizikuri da maTematikuri modelireba (Semsrulebeli – giorgi aburjania).

miRebuli Sedegi. magnituri hidrodinamikis srul gantolebaTa sistemis bazaze miRebul iqna araerTgvarovan disipaciur ionosferoSi araerTgvarovani dinebebis-denebis arsebobisas aRZruli eleqtrostatikuri da alfenis tipis eleqtromagnituri SeSfoTebebis dinamikis aRmweri kerZo-warmoebuliani arawrfiv gantolebaTa sistema. Catarda am sistemis analizi wrfiv miaxloebaSi. dadgenil iqna ionosferoSi talRuri SeSfoTebebis aRZvris da gavrcelebis kriteriumi. gansazRvrul iqna SeSfoTebebis sakuTari sixSire da talRis sigrZe. gamoTvlil iqna SeSfoTebebis gaZlierebis inkrementi. Seswavlil iqna inkrementis damokidebuleba fonuri dinebis amplitudaze da aRZruli SeSfoTebisa da garemos maxasiaTebel parametrebze. naCvenebi iqna, rom eleqtrostatikuri talRebisaTvis procesi aRiwereba erTi kerZowarmoebuliani arawrfivi, sivrciT-organzomilebiani evoluciuri tipis gantolebiT. analizurad iqna napovni am arawrfivi gantolebis axali stacionaruli, Zlierad lokalizebuli, sivrciT-organzomilebiani grigaluri tipis amonaxsni.

Catarebul iqna ricxviTi eqsperimentebi sxvadasxva realuri sawyisi da sasazRvro monacemebis, garemosa da SeSfoTebebis sxvadasxva parametrebisTvis ionosferos DD, E da FF- regionebisaTvis.

Tema 2.2. dedamiwis ionosferos da F SreebSi akustikur-gravitaciuli eleqtromagnituri talRebis wrfivi gavrcelebis SeswavlaLA (Semsrulebeli – Tamaz kalaZes).

miRebuli Sedegi. laboratoriul eleqtronul-pozitronul-ionur plazmaSi eleqtrostatikuri dreifuli talRebis arawrfivi gavrcelebis Sesaswavlad miRebulia ganzogadoebuli hasegava-mimas gantoleba, romelic Seicavs veqtorul da skalarul arawrfivobebs. amasTan,Ddreifuli talRebis sigrZe nebismieria, xolo eleqtronebisa da pozitronebis temperaturebi araerTgvarovania. ganxilulia grZelmasStabiani dreifuli ganmxoloebuli grigalebis TviTorganizaciis meqanizmebi. naCvenebia, rom plazmaSi pozitronebis arseboba amdidrebs hasegava-mimas gantolebis amonaxsnebis klass. Seswavlilia maRalsixSiriani seismuri eleqtromagnituli gamosxivebis urTierTqmedeba ionosferos D-Sris sustad ionizirebul gazTan. naCvenebia, rom dedamiwis ionosferoSi SeiZleba gavrceldes sustad milevadi eleqtronul-ciklotronuli eleqtromagnituri talRebi. aseTi axali tipis talRa advilad aRwevs dedamiwis ionosferos D-Sres da urTierTqmedebs masSi arsebul eleqtronebTan da ionebTan. eleqtronebze moqmedi ponderomotoruli Zalis gaTvaliswinebiT miRebulia modificirebuli Carnis gantoleba. naCvenebia, rom mxolod arawrfivi anticiklonuri grigalebis aRZvraa SesaZlebeli. dadgenilia, romel eleqtromagnituri talRebis amplituduri modulacia iwvevs rosbis talRebis aRZvras sustad ionizirebul gazSi. napovnia Sesabamisi aRZvris simZlavre. dedamiwis miwisZvris momzadebis periodSi gamosxivebuli talRebis intensiobaze damokidebulebiT napovnia sxvadasxva mdgradi da aramdgradi oscilaciebi.

Tema 2.3. araerTgvarovani evoluciuri amocanis miaxloebiTi amoxsnis simetriuli dekompoziciis sqema mravalganzomilebiani SemTxvevisaTvis (Semsrulebeli – jemal rogava).

miRebuli Sedegi. hilbertis sivrceSi araerTgvarovani evoluciuri amocanisaTvis TviTSeuRlebuli dadebiTad gansazRvruli operatoriT, romelic warmoadgens sasrul jams aseve TviTSeuRlebuli dadebiTad gansazRvruli operatorebisa (aseT SemTxvevas Cven vuwodebT mravalganzomilebians), ganxilulia g. beikerisa da T. olifantis simetriuli dekompoziciis sqema. naxevarjgufis aproqsimaciis safuZvelze naCvenebia, rom miaxloebiTi amonaxsnis cdomilebis norma ZiriTadi operatoris gansazRvris areze aris rigis, sadac droiTi bijia.

Tema 2.4. hipoTezebis Semowmebis upirobo da pirobiTi baiesis tipis meTodebisa da algoriTmebis damuSaveba (Semsrulebeli – qarTlos yaWiaSvili).

miRebuli Sedegi. mravalganzomilebiani normaluri ganawilebis parametrebis mimarT statistikuri hipoTezebis Semowmebis problemis gadawyvetasTan dakavSirebiT, zogadi da safexurovani danakargebis funqciebisaTvis problemis zogadi amonaxsnebi dayvanilia konkretul formulebamde mravalganzomilebiani normaluri ganawilebisaTvis. ganxilulia Sesabamsi riskis funqciis gamoTvlis problemebi. ganxilulia normalurad ganawilebuli SemTxveviTi veqtorebis kvadratuli formebis eqsponentebis wrfivi formebis albaTobebis ganawilebis kanonis arseboba da uwyvetoba, agreTve, am kanonebis cxadi saxis povnis problema. mocemulia konkretuli amocanebis gamoTvlis Sedegebi, rac adasturebs miRebuli Sedegebis siswores da mniSvnelobas.

Tema 2.5. talRebis urTierTtransformaciis fizikuri da maTematikuri modelireba (Semsrulebeli – xaTuna Cargazia).

miRebuli Sedegi. Seswavlilia planetaruli ultradabali sixSiris (uds) talRebis dinamika disipaciur ionosferoSi gluvi erTgvarovani zonaluri qarebis (wanacvlebiTi dinebebi) fonze. napovnia didmasStabiani damagnitebuli rosbis tipisa da mcire masStabiani inerciuli talRebis intensifikaciisa da urTierT transformaciis efeqturi wrfivi meqanizmi. wanacvlebiTi dinebebis gaTvasliwinebisas wrfiv amocanaSi Semavali operatorebi ar arian TviTSeuRlebulebi. Sesabamisad, amocanis sakuTari funqciebi ar arian orTogonalurebi, ris gamoc aucilebeli xdeba egreTwodebuli aramodaluri maTematikuri analizis gamoyeneba. aramodaluri miaxloeba aCvenebs, rom wanacvlebiT dinebebSi talRuri SeSfoTebebis transformacia gamowveulia amocanis sakuTrivi funqciebis araorTogonalurobiT wrfiv miaxloebaSi. ricxviTi modelirebis gamoyenebiT gamovlenil iqna talRebis fonur dinebebTan urTierTqmedebis Taviseburebani, aseve – talRebis urTierT transformaciis Tvisebebi ionosferoSi.

Tema 2.6. dedamiwis ionosferoSi akustikur-gravitaciuli eleqtromagnituri talRebis gavrcelebis ganmsazRvreli procesebis fizikuri da maTematikuri modelireba (Semsrulebeli – luba wamalaSvili).

miRebuli Sedegi. Seswavlilia ionosferos E- SreSi damagnitebuli rosbis talRebis aramonoqromatulobis gavlena zonaluri nakadebis arawrfiv generaciaze. gamoyenebulia modificirebuli parametruli meTodi aRmZvreli talRebis nebismieri speqtris SemTxvevisaTvis. naCvenebia, rom rosbis talRebis speqtris gafarToeba iwvevs rezonansul urTierTqmedebas. amasTan, aRZvris simZlavre imave rigisaa, rac monoqromatuli talRebis SemTxvevaSi. miRebulia aRZvrisaTvis saWiro pirobebi.

Tema 2.7. mravalganzomilebiani araerTgvarovani evoluciuri amocanebisaTvis mesame da meoTxe rigis sizustis mimdevrobiTi tipis dekompoziciis sqemis ageba (Semsrulebeli – mixeil wiklauri).

miRebuli Sedegi. agebulia da gamokvleulia mesame da meoTxe rigis sizustis mimdevrobiTi tipis dekompoziciis sqemebi mravalganzomilebiani evoluciuri amocanisaTvis. naCvenebia sqemebis mdgradoba da miRebulia cxadi aprioruli Sefasebebi miaxloebiTi amonaxsnis cdomilebisaTvis. agebuli dekompoziciiss qemebis safuZvelze Sesrulebulia ricxviTi gaTvlebi.


mimarTuleba 3. gamoyenebiTi logika da programireba (xelmZRvaneli- aleqsandre xaraziSvili). muSavdeboda 2 individualuri samecniero- kvle­viTi Tema.

Tema 3.1. gamokvleva simravleTa Teoriisa da usasrulo kombinatorikis zogierTi sakiTxisa, romlebic dakavSirebulia sabaziso simravleSi garkveuli tipis kombinatoruli Tvisebebis mqone ojaxebis arsebobasTan da maT uSualo gamoyenebebTan maTematikis momijnave dargebSi (Semsrulebeli – aleqsandre xaraziSvili).

miRebuli ASedegi. Seswavlil iqna zogierTi maTematikuri Teoriis logikuri, kombinatoruli da simravlur-Teoriuli aspeqtebi. kerZod, ganxiluli iyo ramdenime bunebrivi sakiTxi, romelTa Camoyalibeba (formulireba) SesaZlebelia mocemuli Teoriis CarCoebSi, magram am sakiTxebis gadawyveta aucileblobiT moiTxovs Teoriis arsebiT gafarToebas damatebiTi aqsiomebis SemotaniT. am mimarTulebiT erT-erTi cnobili Sedegi ekuTvniT parizisa da haringtons. maT pirvelad moiyvanes ramseis tipis kombinatoruli debuleba, romelic formulirebadia peanos ariTmetikaSi, magram ar aris damtkicebadi masSi. amave dros, igive debuleba damtkicebadia ufro Zlier TeoriaSi, romelic peanos ariTmetikidan miiReba e.w. kionigis lemis damatebiT. ganxilul iqna analogiuri fenomeni elementarul geometriaSi. saxeldobr, ganxilulia am elementaruli Teoriis konkretuli sakiTxi, romelic formulirdeba e.w. k–erTgvarovani dafarvebis terminebSi, sadac k > 1 nebismieri naturaluri ricxvia. aRniSnuli sakiTxi moiTxovs imis dadgenas, Tu romeli k–saTvis arsebobs evkliduri sibrtyis k–erTgvarovani dafarva wyvil-wyvilad kongruentuli wrewirebiT. miRebul iqna Semdegi debuleba: Tu k aris luwi ricxvi, maSin elementaruli geometriis CarCoebSi igeba sibrtyis k–erTgvarovani dafarva wyvil-wyvilad kongruentuli wrewirebiT; Tu k aris kenti ricxvi, maSin agreTve arsebobs sibrtyis k–erTgvarovani dafarva wyvil-wyvilad kongruentuli wrewirebiT, magram aseTi dafarvis konstruqcia moiTxovs cermelos aqsiomis arsebiT gamoyenebas.

Tema 3.2. abstraqtuli statistikuri struqturebis agebuleba da maTi klasifikacia (Semsrulebeli – giorgi fanculaia).

miRebuli Sedegi. sakoordinato sibrtyis garkveul -algebraze agebulia ori ara -sasrulo invariantuli zoma, ise rom maTi orTogonalurobis piroba kontinuum hipoTezis eqvivalenturia aqsiomaTa ZFC sistemaSi.

aqsiomaTa ZF+DC sistemaSi Cven mogvyavs ori statistikuri struqturis, e.w. uniformulad modificirebuli orTogonaluri gadasvlis birTvebis magaliTi, ise rom amocana maTi srulad orTogonalurad modificirebis Sesaxeb amouxsnadia aqsiomaTa ZF+DC sistemaSi.

garda amisa, mesame samecniero mimarTulebiT kvleviT samuSaos atarebdnen: specialistebi mixeil ruxaia – ikvlevda mtkicebaTa klasebs, romlebSi Semavali damtkicebebisaTvis gankveTis wesis eliminacia aris elementaruli (e.w. “swrafi klasebi”) da Tamar qasraSvili – ikvlevda s. mazurkeviCis tipis transfinitur konstruqciebs fiqsirebuli naturaluri ricxvisaTvis da brtyeli algebruli wirebis konkretuli ojaxebisaTvis, agreTve Tsu zusti da sabunebismetyvelo mecnierebebis fakultetis I kursis magistranti mariam beriaSvili – ikvlevda zogierT amocanas, romlebic elementaruli geometriis CarCoebSi formulirdeba (magaliTad, kubis gaorkecebis amocana, kuTxis triseqciis amocana), magram maT gadasaWrelad aucilebeli xdeba meore rigis logikis aparati.

mimarTuleba 4. albaTobis Teoria da maTematikuri statistika ( xelmZRvanelebi _ elizbar nadaraia , grigol soxaZe). muSavdeboda 3 individualuri samecniero – kvleviTi Tema.

Tema 4.1. zRvariTi Teoremebi albaTuri ganawilebis zomis simkvrivis gulovani tipis araparametruli Sefasebebis naSTebisaTvis sasrul ganzomilebian sivrceebSi ( Semsrulebeli – elizbar nadaraia).

miRebuli Sedegi. dadgenil iqna pirobebi, romelTa Sesrulebis dros SesaZlebeli xdeba vineris integraluri gardaqmnis Sebruneba.

Tema 4.2. Seqcevis pirobebis da algoriTmebis gamokvleva vinerisa da pirobiTad vineris integralebisaTvis uwyvet funqciaTa sivrceze (Semsrulebeli – grigol soxaZe).

miRebuli Sedegi. dadgenilia vineris integraluri gardaqmnis Seqcevis realizaciis asimptoturi procedura.

Tema 4.3. pirobiT damoukidebel SemTxveviT sidideebTan dakavSirebuli albaTur - statistikuri amocanebis gamokvleva (Semsrulebeli – Tengiz ServaSiZe).

miRebuli Sedegi. pirobiT ganawilebaTa gadamrTveli sasrul-mdgomareobebiani SemTxveviTi mimdevrobiT marTvadi pirobiT damoukidebeli SemTxveviTi sidideebis diskontirebuli jamebisaTvis dadgenil iqna zRvariTi normaluroba.

danarTi # 3

(gverdebi 31-33)

gmi_Si dasaqmebuli me­cnieri-mkvlevarebis 2009 wlis samecniero publikaciebi

1. 
   Aburjania G. D., Chargazia Kh., Zelenyi L. M., Zimbardo G. Model of strong stationary vortex turbulence in space plasmas. Nonlinear Processes in Geophysics. V. 16. P. 11–22, 2009.
   
2. 
   Aburjania G.D., Chargazia Kh., Zimbardo G., Zelenyi L. Large scale zonal flow and magnetic field generation due to the drift-Alfven turbulence in the ionosphere plasma// Planetary Space Science. V. 57. P. 1474-1484. 2009.
   
3. 
   Basheleishvili M. - Investigation of the Bonndary Value Problems of an Elastic Mixture. Mem. Differential Equations of Math. Phys. 48(2009), pp. 3-18.
   
4. 
   Buchukuri T., Chkadua O., Natroshvili D. Mixed boundary value problems of thermopiezo­elec­tricity for solids with interior cracks. Integral Equations and Operator Theory, 64, 4 (2009), 495-537.
   
5. 
   Buchukuri T., Chkadua O., Natroshvili D., A.-M. Saendig, Solvability and regularity results to boundary-transmission problems for metallic and piezoelectricelastic materials, Mathemtische Nachrichten , 282, No. 8 (2009), 1079-1110.
   
6. 
   Chinchaladze N., Jaiani G. Cylindrical Bending of a Cusped Plate with Big Deflections, Journal of Mathematical Sciences, Volume 157, Number 1, 52-69, Springer, 2009.
   
7. 
   Chkadua O., Mikhailov S., Natroshvili D. Analysis of some boundary-domain integral equations for variable-coefficient problems with cracks, In: H.Power, A.La Rocca, and S.J.Baxter, eds., Advances in Boundary Integral Methods - Proceedings of the 7th UK Conference on Boundary Integral Methods. Nottingham University Publ.,ISBN 978-0-95 63221-0-4, UK, 2009, 37-51.
   
8. 
   Chkadua O., Mikhailov S., Natroshvili D. Analysis of direct boundary-domain in­teg­ral equation for a mixed BVP with variable coefficient, I: equivalence and invertibility. Journal of Integral Equations and Applications, 21, No. 4 (2009), 1-45. (DOI: 10.1216/JIE-2009-21-4-1).
   
9. 
   Chkadua O., Mikhailov S., Natroshvili D. Analysis of some localized boundary-domain in­teg­ral equations. Journal of Integral Equations and Applications, 21, No. 3 (2009), 405-446.
   
10. 
    Ciarletta . M., Svanadze M., Buonano L. - Plane waves and vibrations in the micropolar thermoelastic materials with voids, European J. Mech., A/ Solids, vol. 28, pp. 897 – 903, 2009.
    
11. 
    De Cicco S., Svanadze M.. Fundamental solution in the theory of viscoelastic mixtures, Journal of Mechanics of Materials and Structures, vol. 4, No 1, pp. 139 – 156, 2009.
    
12. 
    Giorgashvili L., Natroshvili D., Representation formulas of general solutions to the staticequations of the hemitropic elasticity theory. Memoirs on Differential Equations and Mathematical Physics, 46 (2009), 129-146.
    
13. 
    Janjgava R.- Derivation of a two-dimensional equation for shallow shells by means of the method of I. Vekua in the case of linear theory of elastic mixtures. Springer New York, Journal of Mathematical Sciences , 2009, v.157, N1, pp.70-78.
    
14. 
    Kachiashvili K.J., Melikdzhanian D. I. (2009) Software for Determi­na­tion of Biological Age. Current Bioinforma­tics, Vol. 4, No. 1, 41-47. http://www.bentham.org/cbio/index.htm
    
15. 
    Kachiashvili K.J., Melikdzhanian D. I. (2009) Software Realization Prob­lems of Mathe­ma­tical Models of Pollu­tants Transport in Ri­vers. Advances in Engine­ering Software, Vol. 40, # 10, 1063-1073.
    
16. 
    Kaladze T.D. , Shah H.A., Murtaza G., Tsamalashvili L.V., Shad M., Jandieri G.V. – Influence of non-monochromaticity on zonal-flow generation by magnetized Rossby waves in the ionospheric E-layer // Journal of Plasma Physics, v. 75, part 3, 345-357, 2009.
    
17. 
    Kaladze T.D., Shad M., Shah H.A. – Dynamics of large-scale vortical structures in electron-positron-ion plasmas // Physics of Plasmas, v.16, 024502, 2009.
    
18. 
    Kharazishvili A. On non-measurable functions of two variables and iterated integrals, Georgian Math. Journal, vol. 16, no. 4, 2009.
    
19. 
    Kharazishvili A. - Metrical transitivity and non-separable extensions of invariant measures, Taiwanese Journal of Mathematics, vol. 13, no. 3, 2009.
    
20. 
    Kharazishvili A. On sums of real-valued functions with extremely thick graphs, Expositiones Mathematicae, vol. 27, 2009, pp. 161-169.
    
21. 
    Kharazishvili A. On thick subgroups of uncountable sigma-compact locally compact commutative groups, Topology and its Applications, vol. 156, 2009, pp. 2364-2369.
    
22. 
    Kharibegashvili S., Berikelashvili G., Jokhadze O., Midodashvili B.. Finite-difference method of solving the Darboux problem for nonlinear Klein-Gordon equation. Mem. Differential Equations Math. Phys. 47 (2009), 123-132.
    
23. 
    Kharibegashvili S., Berikelashvili G., Gordeziani D. Finite difference scheme for one mixed problem with integral condition. Proceedings of the 2nd WSEAS Int. Conf. on "Finite Differences, Finite Elements, Finite Volumes, Boundary Elements" (F-and-B'09), 118-120, 2009.
    
24. 
    Kharibegashvili S., Midodashvili B. On some three-dimensional variants of Goursat and Darboux problems for higher-order hyperbolic equations with dominating principal parts. J. Math. Sci. (New York) 157 (2009), No. 1, 119-139.
    
25. 
    Khatiashvili N. The Conformal Mapping Method for the Helmholtz Equation. Integral Methods in Science and Engineering, Addison Wesley Logman, Chapman & Hall/CRC, pp. 173—177 (2009).
    
26. 
    Khatiashvili N., Shanidze R. - On the Approximate Solution of Particle Transport Equation. Online publication http://pfc2009.grena.ge
    
27. 
    Khomasuridze N.. On some stationary mathematical models for Tornados and other funnel-shaped rotating liquid and gas media. ZAMM. M. Angew. Math. Mech. N1,19-27, 2009, DOI 10.1002/zamm.200800051.
    
28. 
    Kvatadze Z., Shervashidze T., On some limit theorems for sums and products.
    Proc. A. Razmadze Math. Inst., 150(2009),99--104.
    
29. 
    Meunargia T. On construction of approximate solutions of equations of nonlinear and nonshellows shells, Springer New York, Journal of Mathematical Sciences, 2009, v.157, N1, pp.98-118.
    
30. 
    Meunargia T. Some general methods for constructing the theory of shells, Springer New York, Journal of Mathematical Sciences, 2009, v.157, N1, pp.1-15.
    
31. 
    Nadaraya E., Babilua P.,  Sokhadze G. -On some goodness-of-fit tests based on estimates of kernel type Wolverton-Wagner estimates . Bull. Georgian National Acad. Sci. (new series) 3 (2009), No. 2, 11-18.
    
32. 
    Nadaraya E., Babilua P., Patsatsia M., Sokhadze G.- On one property of the wiener integral and its statistical application. Bull. Georgian National Acad. Sci. (new series) 3 (2009), No. 1, 30-39.
    
33. 
    Nadaraya E., Babilua P., Shatashvili A., Sokhadze G. On one property of the Wiener integral and its statistical application . Random Oper. Stochastic Equations 17 (2009), No. 2, 173-187.
    
34. 
    Natroshvili D., Stratis I.,.Zazashvili S. Interface crack problems for metallic-piezoelectric composite structures. Mathematical Methods in the Applied Sciences, 2009 (DOI:10.1002/mma.1216).
    
35. 
    Natroshvili D., Tediashvili Z., Crack Problems for Composite Structures, Operator Theory: Advances and Applications, Vol. 193, 2009, 227-243. (The volume Dedicated to Professor V.G. Maz'ya on the occasion of his 70^th birthday).
    
36. 
    Pantsulaia . G, Giorgadze G. On Lioville type theorems for Mankiewicz and Preiss-Tišer generators in , Georgian International Journal of Science and Technology , Nova Science Publishers , Volume 2, Issue 1 (2009).
    
37. 
    Pantsulaia G., On a certain property of zeroes of the Riemann's extended zeta function, J. of Algebras, Groups and Geometries, 26, No. 2, 223-229 (2009). On a certain criterion of shyness for subsets in the product of unimodular Polish groups that are not compact, J. Math. Sci. Adv. Appl., 3 (2) (2009), 287-302
    
38. 
    Pantsulaia G., On infinite version of some classical results in Linear Algebra and Vector Analysis, Georgian International Journal of Science and Technology , Nova Science Publishers , Volume 2, Issue 1 (2009).
    
39. 
    Rogava J., Tsiklauri M. The fourth order of accuracy sequential type rational splitting of inho-mogeneous evolution problem, Ukrainian Mathematical Bulletin, Vol. 6, 2009, No 3, pp. 357-371
    
40. 
    Rogava J., Tsiklauri M.. Three-Layer Semidiscrete Scheme for Generalized Kirchhoff Equation, Proceedings of the 2nd WSEAS International Conference on Finite Differences, Finite Elements, Finite Volumes, Boundary Elements, Tbilisi, 2009, pp. 193-199
    
41. 
    Scalia A., Svanadze M. - A Potential method in the linear theory of thermoelasticity with microtemperatures. J. Thermal Stresses, vol. 32, 2009 .
    
42. 
    Shulaia D. - Some  Applications of a  Spectral Representation of the Linear Multigroup Transport Problem. Transport Theory and Statistical Physics  (2009) V. 38  N 7,  347 - 382 .
    
43. 
    Stratis . I., Zazashvili S., Natroshvili D. Boundary integral equation methods in the theory of elas­ticity of hemitropic materials : a brief review. Journal of Com­putational and Applied Mathematics, (DOI:10.1016/j.cam.2009.08.008).
    
44. 
    Tsintsadze N.L., Kaladze T.D. , Tsamalashvili L.V. – Excitation of Rossby waves by HF electromagnetic seismic origin emissions in the earth’s mesosphere // XXIX International Conference on Phenomena in Ionized Gases (ICPIG-2009, July 12-17, 2009, Cancun, Mexico). Disc of Proceedings, Contributed Papers. Astrophysical, geophysical and other natural plasmas, PA7-1. http://www.once.com.mx/icpig2009/.
    
45. 
    Tsintsadze N.L., Kaladze T.D., Tsamalashvili L.V. – Excitation of Rossby waves by HF electromagnetic seismic origin emissions in the earth’s mesosphere // Journal of Atmospheric and Solar-Terrestrial Physics, v. 71, No. 17-18, 1858-1863, 2009. doi: 10.1016/j.jastp. 2009.07.008.
    
46. 
    Zirakashvili N. Solution of some two-dimensional problems of elasticity. Springer New York, Journal of Mathematical Sciences , 2009, v.157, N1, pp.79-84.
    
47. 
    Zirakashvili N. The numerical solution of boundary-value problems for an elastic body with an elliptic hole and linear cracks. Springer Netherlands, Journal of Engineering Mathematics, Volume 65, Number 2 / October, 2009, 111-123, DOI 10.1007/s10665-009-9269-z
    
48. 
    Надараиа Е., Бабилуа П.К, Сохадзе Г. А.. О некоторых критериях согласия, основанных на оценках плотности распре­де­ле­ния типа ядра. Теория вероятностей и её приложения 54 (2009), № 2, 1-12.
    
49. 
    Надараиа Е., Сохадзе Г.А., Шаташвили А.Д.-О статистическом оценивании логарифмической производной меры в гильберто­вом пространстве Ж. «Кибер­не­ти­ка и системный анализ», 2009, № 5, 106-110. Английский перевод: Statistical estimation of a logarithmic derivative of measure in a Hilbert space. Cybernetics and System Analysis. Vol. 45, No. 5, 2009. p. 762-766.
    
50. 
    Сохадзе . Г. А., Гончаренко В.И., Хурцидзе А. Р. О теоретических аспектах применения методов информатики на разных стадиях расследования. Часть I. Georgian Engineering News, № 1, 2009. с. 39-51.
    
51. 
    Сохадзе Г.А., Хечинашвили З. О мерах порожденных решениями обыкновенных дифференциальных уравнений высокого порядка со случайной правой частью. Естественные науки и современность: проблемы и перспективы исследований. Материалы I Всероссийской научно-практической (заочной) конференции. Вып. 1. Москва, Издательско-полиграфический комплекс НИИРРР, 2009 г. с. 92-99.
    
52. 
    Сохадзе Г.А., Бидюк П.И., Кордзадзе Т.З. Аспекты математической модели инвестиционного процесса на примере данных Украины. Сборник трудов XIV Международной открытой научной конференции «Современные проблемы информатизации в экономике и обеспечении безопасности», вып. 14, Воронеж, 2009. с. 9-19.
    
53. 
    Сохадзе Г.А., Бидюк П.И., Кордзадзе Т.З. Аспекты математической модели инвестиционного процесса на примере данных Украины. Часть I. Georgian Engineering News, № 1, 2009. с. 32-38.
    
54. 
    Сохадзе Г.А., Фомин-Шаташвили А. А., Фомина Т. А., Шаташвили А. Д. О мерах порожденных решениями обыкновенных дифференциальных уравнений высокого порядка со случайной правой частью. Georgian Engineering News, № 1, 2009. с. 25-31.
    
55. 
    Шарикадзе Д. - Приближённое решение автомодельной задачи свобод­ной конвек­ции при силь­ном отсосе. Georgian Electronic Scientific Journal: Computer Science and Telecom­mu­nications, 2009, march.
    

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