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Georgian Math. Journal 21(4), 2014.D DOI 10. 1515/gmj-2014- 0042 DE GRUYTER 13 anotacia agebulia amoxsnebi integro-diferenialuri gantolebebisa, romlebic dakavSirebulni arian Txeli sasruli naxevradusasrulo CarTvisa da cocvadobis Tvisebis mqone firfitis urTierTqmedebasTan. rodesac CarTvisDdrekadi da geometriuli parametrebi misi sigrZis gaswvriv icvlebian xarisxovani kanoniT, integraluri gardaqmnebisa da analizur funqciaTa Teoriis meTodebis gamoyenebiT miRebulia amocanaTa zusti amoxsnebi. 34*
R. Bantsuri Tte boundary value problems of electroelasticity for plate with inclusion and half space with cut.
Vol.78,№4,2014 ruseTis mecn. Aakademia, meqanikis problemebis instituti, Eng. Transl.:”Elsevier” 12
anotacia ganixileba meqanikuri da eleqtruli velebis gansazRvris amocana piezoeleqtrul sxeulebSi, romlebic gamagrebulia drekadi CarTvebiT an Sesustebulia bzariT. Aanalizur funqciaTa Teoriis meTodebiT dasmuli amocanebi miyvanilia Sesabamisad singularul integro-diferencialur gantolebaTa sistemaze an singularul integralur gantolebaze uZravi singularobiT. orTogonalur polinomTa meTodis gamoyenebiT miRebuli integraluri gantoleba daiyvaneba wrfiv usasrulo algebrul gantolebaTa sistemaze, romelic gamokvleulia regularobaze kvadratiT jamebad mimdevrobaTa sivrceSi, integraluri gardaqmnebis meTodis gamoyenebiT ki miRebuli singularuli integraluri gantoleba amoxsnilia cxadi saxiT. 35 N. Shavlakadze The contact problem for a piecewise- homogeneous plate with Proceedings of VIII International Conference”The somxeTis mecnierebaTa erovnuli 5
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a finite inclusion of variable cross-section problems of dynamics of interaction of meformable Media”, 2014, 22-26 sept. akademiis meqanikis instituti Aanotacia ganixileba uban-uban erTgvarovani orTotropuli firfita, romelic gamagrebulia wamaxvilebuli(kuTxis) formis sasruli CarTviT, romelic gadis gamyof sazRvarze marTi kuTxiT da DdatvirTulia normaluri ZalebiT. Aanalizur funqciaTa Teoriis meTodebiT amocana dayvanilia singularul integro-diferencialur gantolebaze, integraluri gardaqmnebiT ki miRebulia rimanis amocana, romlis amonaxsni warmodgenilia cxadi saxiT. ganisazRvreba normaluri sakontaqto Zabvebi kontaqtis wiris gaswvriv da dadgenilia maTi yofaqceva singularuli wertilebis maxloblobaSi. 36 M. Beriashvili, A. Kirtadze
On the uniqueness property of non- separable extensions of invariant Borel measures and relative measurability of real- valued functions n Georgian
Mathematical Journal, vol.29, no.1, 2014, pp. 49-57.
Walter
de Gruyter
9 anotacia dadgenilia namdvil ricxvTa yvela mimdevrobebis sivrceSi sigma-sasrulo, invariantuli, araseparabeluri, erTaderTobis Tvisebis mqone, borelis zomaTa ojaxis simZlavre. ganxilulia am sivrceSi sigma-sasrulo, invariantuli, borelis zomis yvela SesaZlo separabeluri da araseparabeluri gagrZelebaTa klasebi da gamokvleulia am zomaTa klasebis urTierTdamokidebuleba namdvilmniSvnelobiani funqciis fardobiTad zomadobis sakiTxisadmi. 37 T. Kasrashvili, A. Kirtadze
the measure-theoretical viev-point Journal of Geometry vol, 105, issue 1, 2014 Springer
2 anotacia ganxilulia elementaluri moculobebi zomis Teoriis TvalsazrisiT. damtkicebulia, rom koSi-hamelis funqciebs Soris arsebobs erTi mainc funqcia, romelic arazomadia namdvil ricxvTa RerZze Zvrebis mimarT invariantuli yvela im zomis mimarT, romelic aris lebegis zomis gagrZeleba. 747
38 V. Tsutskiridze Steady flows of conductive liquid in a rectangular channel at exis –tence of transverse magnetic field. International scientific journal of IFTOMM “Problems of Mechanics” (Special issue International Conference “Mechanics-2014”. Dedicated to the 15- th anniversary of Scientific Journal of IFTOMM “Problems of Mechanics”). Tbilisi, 2014, №2 (55), pp. 117-120, (Engl.), ISSN 1512- 0740.
saqarTvelo, Tbilisi
5 abstraqti: statiaSi Seswavlilia blanti arakumSvadi gamtari siTxis arastacionaruli dineba marTkuTxovan magnitohidrodinamikur miliSi, rodesac moqmedebs erTgvarovani garegani magnituri veli. miRebulia dasmuli amocanis zogadi amonaxsni da misi kerZo SemTxvevebi.
samecniero forumebis muSaobaSi monawileoba
a) saqarTveloSi # momxsenebeli/ momxseneblebi moxsenebis saTauri forumis dasaxeleba, Catarebis dro da adgili 1
D. Natroshvili Regularity of solutions to mixed interface crack problems saqarTvelos meqanikosTa kavSiris V saerTaSoriso konferencia, Tbilisisi, saqarTvelo, 8-10 oqtomberi, 2014 748
moxsenebis anotacia moxsenebaSi gamokvleulia Termo-eleqtro-magnito drekadobis Teoriis bzaris tipis Sereuli transmisiis amocanebis amonaxsnebis regularoba da Seswavlilis Zabvebis singularobis maCveneblebi. 2
O. Chkadua, D. Natroshvili Localized boundary-domain integral equations approach for problems of the theory of piezo- elasticity for inhomogeneous solids
kavkasiis maTematikosTa pirveli saerTaSoriso konferencia, Tbilisi, 21- 24 seqtemberi, 2014 moxsenebis anotacia gamokvleulia drekadobis Teoriis dirixles da robinis tipis ZiriTadi sasazRvro amocanebi araerTgvarovani sxeulebisaTvis lokalizebuli sivrcul- sasazRvro integraluri gantolebebis meTodiT. 3
droiT aralokaluri erTi amocanis amoxsnadobis Sesaxeb mravalganzomilebiani talRis gantolebisaTvis xarisxovani arawrfivobiT prof. andria razmaZis dabadebidan 125 wlisTavisadmi miZRvnili saerTaSoriso vorkSopi diferencialur gantolebaTa Tvisebriv TeoriaSi Q (Tbilisi, 18–20 dekemberi, 2014 w.) 4 s.xaribegaSvili, b.midodaSvili aralokaluri amocana naxevradwrfivi mravalganzomilebiani talRis gantolebisaTvis saqarTvelos maTematikosTa kavSiris V saerTaSoriso konferencia (Tbilisi-baTumi, 8–12 seqtemberi, 2014 w.) 5 o.joxaZe, s.xaribegaSvili,
perioduli amocanis Sesaxeb arawrfivi telegrafis gantolebisaTvis puankares sasazRvro pirobiT prof. andria razmaZis dabadebidan 125 wlisTavisadmi miZRvnili saerTaSoriso vorkSopi diferencialur gantolebaTa Tvisebriv TeoriaSi Q (Tbilisi, 18–20 dekemberi, 2014 w.)
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6 s.xaribegaSvili, o.joxaZe kuTxovan areebSi zarembas tipis amocanis Sesaxeb arawrfivi talRis
gantolebebisaTvis
ivane javaxiSvilis saxelobis Tbilisis saxelmwifo universitetis andria razmaZis maTematikis institutis samecniero konferencia (q. Tbilisi, 24–28 noemberi, 2014 w.) moxsenebaTa anotaciebi 3. gamokvleulia erTi droiT aralokaluri amocana mravalganzomilebian arawrfiv hiperbolur gantolebaTa erTi klasisaTvis, romelTa kerZo SemTxvevebs warmoadgenen perioduli da antiperioduli amocana. napovnia pirobebi amocanis monacemebze, romlebic uzrunvelyofen amonaxsnis arsebobasa da erTaderTobas. ganxilulia agreTve SemTxvevebi, rodesac amocanas ar gaaCnia amonaxsni. 4. Seswavlilia droiT aralokaluri amocana mravalganzomilebiani talRis gantolebisaTvis xarisxovani arawrfivobiT. ganxilulia globaluri amonaxsnis arsebobis, erTaderTobisa da ararsebobis sakiTxebi. 5. telegrafis gantolebisaTvis xarisxovani arawrfivobiT Seswavlilia perioduli amocana dirixlesa da puankares sasazRvro pirobebiT. ganxilulia amonaxsnis arsebobis, ararsebobisa da erTaderTobis sakiTxebi. 6. kuTxovan areSi gamokvleulia zarembas tipis amocana arawrfiv talRis gantolebaTa erTi klasisaTvis. dadgenilia pirobebi amocanis monacemebze, romlebic uzrunvelyofen globaluri amonaxsnis arsebobas da erdaTerTobas. ganxilulia agreTve lokaluri da feTqebadi amonaxsnis arsebobis sakiTxebi. 7
Two-weight criteria for Riesz potentials on cones of radially decreasing functions’’ kavkasiis maTematikosTa pirveli saerTaSoriso konferencia, 5-6 seqtemberi, 2014, Tbilisi. moxsenebis anotacia moxsenebaSi gadmocemulia orwoniani kriteriumebi jeradi potencialebisaTvis klebad funciaTa klasebze. 8 A.Meskhi Multisublinear maximal operators in Banach function lattices’’ saqarTvelos maTematikosTa kavSiris me- 5 saerTaSoriso konferencia, 8-12 seqtemberi, 2014, baTumi.
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moxsenebis anotacia moyvanilia susti da Zlieri tipis orwoniani utolobebis kriteriumebi kvazi- amozneqili funqciebiT gaCenili mravladnaxevradwrfivi maqsimaluri operatorebisaTvis banaxis funqciur meserebze. aRniSnuli operatorebi ganazogadebs mravladnaxevradwrfivi hardi-litlvudisa da wiladuri maqsimalur funqciebs. orwoniani Sefasebebi miRebulia banaxis funqciur meserebze garkveuli geometriuli pirobebis qveS. 9
dazustebuli mudmivebis Sesaxeb jeradi integraluri operatorebisaTvis SoTa rusTavelis erovnuli samecniero fondis mier dafinansebuli grantis (kontraqti nomeri D/13-23) fargleSi Catareuli mini- simpoziumi, 20 ivnisi, Tbilisi
moxsenebis anotacia dadgenilia zusti maCvenebeli makenhaupris maxasiaTeblebisaTvis erTwonian utolobaSi jeradi integraluri gardaqmnebisaTvis (Zlieri maqsimaluri funqciebi, jeradi hilbertisa da risis gardaqmnebi, jeradi potencialebi). makenhauptis maxasiaTebeli dawerilia n-ganzomilebiani intervalebis terminebSi. analogiuri amocana Seswavlilia jeradi calmxrivi operatorebisaTvisac.
10 G. Berikelashvili, B.Midodashvili Method of corrections by higher order differences for elliptic equations with variable coefficients. i. vekuas saxelobis gamoyenebiTi maTematikis institutis seminaris XXVIII gafarToebuli sxdomebi 22-24 aprili, 2014, Tbilisi moxsenebis anotacia cvlad koeficientebiani elifsuri gantolebisaTvis dirixles amocanis amosaxsnelad dafuZnebulia or safexuriani sasrul sxvaobiani meTodi, romlisTvisac dadgenilia maRali rigiT krebadoba 11
G. Berikelashvili, B.Midodashvili On the two-stage finite-difference method for solving of a mixed boundary value problem for the Poisson equation saqarTvelos maTematikosTa kavSiris V saerTaSoriso konferencia, 8 - 12 seqtemberi baTumi, 2014, .
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moxsenebis anotacia puasonis gantolebisaTvis ganxilulia mesame gvaris da dirixles Sereul sasazRvro pirobebiani amocana. miaxloebiTi amonaxsnis misaRebad dafuZnebulia sasrul-sxvaobiani koreqciis meTodi, romelic maRali rigis krebadobiT xasiaTdeba. 12
G.Berikelashvili, N.Khomeriki On a weak solvability of one nonlocal boundary-value problem in weighted Sobolev space
Theory of Differential Equations ( QUALITDE – 2014, December 18 - 20, 2014, Tbilisi)
moxsenebis anotacia puasonis gantolebisaTvis ganxilulia amocana, romelic dirixles amocanis aralokalur ganzogadebas warmoadgens. damtkicebulia susti amonaxsnis arseboba da erTaderToba sobolevis wonian sivrceSi. 13
Sh. Tetunashvili and T. Tetunashvili On New Summability Methods with a Variable Order kavkasiis maTematikosTa pirveli saerTaSoriso konferencia, Tbilisi, 5 - 6 seqtemberi, 2014 moxsenebis anotacia Semotanilia zogierTi axali cvladmaCvenebliani Sejamebadobis meTodi.
am meTodebisaTvis dadgenilia orTogonaluri mwkrivebis ganSladobis Teoremebi. 14
T. Tetunashvili Uniqueness Theorems for Rademacher Series kavkasiis maTematikosTa pirve- li saerTaSoriso konferencia, Tbilisi, 5 - 6 seqtemberi, 2014 moxsenebis anotacia rademaxeris mwkrivebisaTvis dadgenilia iseTi Tvladi simravlis arseboba, romelzec krebadoba uzrunvelyofs am mwkrivebis erTaderTobas. 15
Sh. Tetunashvili and T. Tetunashvili Sejamebadobis cvladmaCveneb- liani meTodebiT ganSladi orTogonaluri mwkrivebis Sesaxeb
konferencia Temaze "harmoniuli analizisa da funqciaTa sasaz- Rvro amocanebis Tanamedrove as- peqtebi" saqarTvelos mecniere- baTa erovnuli akademia, maTema- tikisa da fizikis ganyofileba a. razmaZis saxelobis maTematikis instituti, 20 ivnisi, 2014 weli
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moxsenebis anotacia Semotanilia cvladmaCvenebliani Sejamebadobis ramdenime axali meTodi.
am meTodebisaTvis damtkicebulia Teoremebi orTogonaluri mwkrivebis ganSladobis Sesaxeb, riTac ganzogadebulia menSovis saTanado debuleba orTogonaluri mwkrivebis kerZo jamebis ganSladobis Sesaxeb. 16
T. Tetunashvili rademaxeris mwkrivebis koeficientTa aRdgenis Sesaxeb
konferencia Temaze "harmoniuli analizisa da funqciaTa sasaz- Rvro
amocanebis Tanamedrove aspeqtebi" saqarTvelos mecniere- baTa erovnuli akademia, maTema- tikisa da fizikis ganyofileba a. razmaZis saxelobis maTematikis instituti, 20 ivnisi, 2014 weli moxsenebis anotacia dadgenilia, rom 2 1
romelzedac rademaxeris mwkrivis krebadobis pirobebSi SesaZlebelia am mwkrivis koeficientebis aRdgena. amrigad dadgenilia iseTi Tvladi qvesimravlis arseboba, romelzec krebadoba uzrunvelyofs rademaxeris mwkrivis erTaderTobas. 17
Sh. Tetunashvili rademaxeris mwkrivebis Sesaxeb
Tsu andria razmaZis maTematikis institutis konferencia, 2014 wlis 24 – 28 noemberi moxsenebis anotacia gaZlierebulia kolmogorovis Teorema imis Sesaxeb, rom rademaxeris sistema aris krebadobis zusti sistema. # momxsenebeli/ momxseneblebi moxsenebis saTauri forumis dasaxeleba, Catarebis dro da adgili 1
Pantsulaia Gogi
On Heat equation in infinite- dimensional separable Banach space with Schauder basis Seminar of I.Vekua Institute of Applied Mathematics, Ivane Javakhishvili Tbilisi State University, March 5 , 2014, Tbilisi (Georgia)
moxsenebis anotacia ASauderis bazisis mqone usasrulo-ganzomilebian separabelur banaxis sivrceSi 753
agebulia siTbogamtarobis gantolebis amonaxseni. Gintervalze uniformulad ganawilebuli namdvil-mniSvnelobiani mimdevrobebis Tvisebebi gamoyenebulia erTi algoriTmis asagebad, romelic iZleva Sesabamisi amonaxsenis aproqsimaciis saSualebas. 18
g. fanculaia
iamasaki-xaraziSvilis zomebis erTi Tvisebis Sesaxeb
v. javaxiSvilis saxelobis TTbilisis saxelmwifo niversitetis (Tsu) ilia ekuas saxelobis amoyenebiTi maTematikis nstitutis (gmi) seminaris XVIII gafarToebuli xdomebi, 22-24 aprili, 2014 moxsenebis anotacia Amoxsenda doqtorant m.kinwuraSvilis mier [Kintsurashvili, Murman. On a certain question of Tepper Gill. Georgian Int. J. Sci. Technol. 6 (2014), no. 3, 225--227 ] naSromSi miRebuli erTi Sedegi, romlis Tanaxmadac ar arsebobs usasrulo-ganzomilebian separabelur banaxis sivrceze gansazRvruli iamasaki-xaraziSvilis iseTi zoma µ , romelic daakmayofilebs Semdeg pirobas 2 || || 0 ( )
x B e d x π µ − < < +∞ ∫ . 19
V. Paatashvili The Riemann-Hilbert problem in Smirnov class with a variable exponent and an arbitrary Power weight
kavkasiis maTematikosTa pirveli saerTaSoriso konferencia, Tbilisi, saqarTvelo, 5-6 seqtemberi, 2014 moxsenebis anotacia moxsenebaSi moyvanil iqna aRniSnuli amocanis amoxsnadobis sruli suraTi sasazRvro wiris geometriis, smirnovis klasis maCveneblis da xarisxovani wonis mimarT sxvadasxva moTxovnebSi. 20
Yuri Bezhuashvili
Solvabiliti of the third and fourth basic three-dimensional dynamic problems in hemitropic elasticity
saqarTvelos maTematikosTa kavSiris V yovelwliuri saerTaSoriso konferencia, baTumi, 8-12 seqtemberi, 2014 754
moxsenebis anotacia drekadobis hemitropuli Teoriis ZiriTadi samgaznomilebiani dinamikuri mesame da meoTxe amocanebis amoxsna.
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M. Ivanidze Dirichlet boundary-transmission problem of thermoelastostatics for anizotropic composite structures ilia vekuas saxelobis gamoyenebiTi maTematikis institutis seminaris XXVIII gafarToebuli sxdomebi, Tbilisi, 22 – 24 aprili, 2014
moxsenebis anotacia moxsenebaSi gamokvleulia drekadobis Teoriis dirixles tipis ZiriTadi sasazRvro-sakontaqto amocana hemitropuli sxeulebisaTvis potencialT Teoriisa da integraluri gantolebebis meTodiT. 23
M. Ivanidze Robin type boundary- transmission problem of thermoelastostatics for anizotropic composite structures
saqarTvelos maTematikosTa mexuTe saerTaSoriso konferencia, baTumi, 8-12 seqtemberi, 2014 21 Nika Gorgodze, Ia Ramishvili Continuty of Solution of the Quasi- Linear Neutral Functional Differential Equation with Respect to Perturbations of Initial Data and Delay Functions saqarTvelos maTematikosTa kavSiris me-5 saerTaSoriso konferencia, 8-12 seqtemberi, 2014, baTumi
moxsenebaTa anotaciebi neitraluri tipis kvazi-wrfivi funqcionaluri gantolebisaTvis ( ) ( )
( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 1 , ,..., p j j s j x t A t x t f t x t x t σ τ τ = = + ∑ sawyisi pirobebiT ( ) ( )
( ) ( ) ( )
0 0 0 , , , x t t x t h t t t x t x ϕ = = < = Ddamtkicebulia amonaxsnis uwyvetad gagrZelebis Teoremebi sawyisi SeSfoTebis gaTvaliswinebiT.
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moxsenebis anotacia gamokvleulia drekadobis Teoriis robinis tipis ZiriTadi sasazRvro-sakontaqto amocana hemitropuli sxeulebisaTvis potencialT Teoriisa da integraluri gantolebebis meTodiT. 24
D. Ivanidze Dirichlet boundary-transmission problem of thermoelastostatics for hemitropic composite structures ilia vekuas saxelobis gamoyenebiTi maTematikis institutis seminaris XXVIII gafarToebuli sxdomebi, Tbilisi, 22 – 24 aprili, 2014 moxsenebis anotacia moxsenebaSi gamokvleulia drekadobis Teoriis dirixles tipis ZiriTadi sasazRvro-sakontaqto amocana hemitropuli sxeulebisaTvis potencialT Teoriisa da integraluri gantolebebis meTodiT. 25
Robin type boundary- transmission problem of thermoelastostatics for hemitropic composite structures
saqarTvelos maTematikosTa mexuTe saerTaSoriso konferencia, baTumi, 8-12 seqtemberi, 2014 moxsenebis anotacia gamokvleulia drekadobis Teoriis robinis tipis ZiriTadi sasazRvro-sakontaqto amocana hemitropuli sxeulebisaTvis potencialT Teoriisa da integraluri gantolebebis meTodiT.
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g. belTaZe kandidatTa ranJirebis erTi kriteriumis Sesaxeb III saerTaSoriso- samecniero konferencia “kompiutingi/informatika, ganaTlebis mecnierebebi, maswavleblis ganaTleba”. baTumi, 17,18,19 oqtomberi, 2014. moxsenebis anotacia ganxilulia mcirericxovan sakonkurso kandidatTa } ,..., { 1
a a S =
simravlis ranJirebis amocana mravali } ,...,
{ 1
k k K =
kriteriumebis gaTvaliswinebiT. moiT- xoveba mocemuli simravlis ranJireba prioritetebis klebis mixedviT – upirate- sobidan uaresobisaken. Tavidan igulisxmeba, rom aRniSnuli kriteriumebi Tanabar- mniSvnelovania. Tu moiTxoveba kriteriumebis araTanabarmniSvneloba, maSin krite- riumebi ranJirdeba leqsikografiulad. amocanis gadawyvetas vaxdenT bunebis winaaRmdeg TamaSis modeliT. strategiebi am SemTxvevaSi sakonkurso kandidatebia. 756
maqsiminis principiT gamoiTvleba pirveli moTamaSis optimaluri Sereuli strategia, romliTac airCeva kandidatebi da misi saSualebiT ganisazRvreba TiTo- euli kandidatis mosalodneli saSualo Sefaseba . )
1 * ∑ = =
j ij i i u x a u kandidatTa ranJi- rebas vaxdenT aramkacri upiratesobis ≽ mimarTebiT da viyenebT mosalodneli saSualo Sefasebis kriteriums:
≽
a ). ( ) (
i a u a u ≥ ⇔ gadmocemulia Camoyalibebuli kriteriumis Sinaarsi da moyvanilia Sesabamisi magaliTebi. 27
zogierTi bibliuri personaJebis strategiuli urTierTqmedebis analizi TamaSTa Teoriis gamoyenebiT mesame saerTaSoriso konferencia “mecniereba da religia”. eZRvneba akademikos iveri frangiSvilis xsovnas. Tbilisi, 04-05 noemberi, 2014.
moxsenebis anotacia ganxilulia ori moTamaSis strategiuli TamaSi. masSi pirveli moTamaSea RmerTi, xolo meore – adami da eva koleqtiuri erTi moTamaSis rolSi. RmerTi iyenebs or strategias, romliTac igi adamians uwesebs an ar uwesebs SezRudvas – “ar Wamo edemis baRSi xidan, romelic aris kiTilisa da borotis Secnobisa”. rigiTi adamiani, Cvens SemTxvevaSi moTamaSe “adami da eva” an iTvaliswinebs am SezRudvas, an ara. maSasadame gvaqvs araantagonisturi strateguli TamaSi, romlis modeli warmodgenilia normaluri da dinamikuri saxiT. maTi analizi ganxorcieldeba neSis wonasworobis principiT da ukusvliTi induqciis algoriTmiT. gadmocemulia “gakotrebis amocana” Talmudidan, romelic Seexeba qonebis ganawilebis princips da es principi ebraeli maTematikosebis damtkicebiT warmoadgens mogebis samarTliani ganawilebis princips kooperatiul TamaSTa TeoriaSi, saxelwodebiT N -guli,
sadac N moTamaSeTa simravlea. ganxilulia agreTve TamaSis gameorebis procesi da misi analizi. 28
d.ugulava Llokaluradkompaqturabe lisjgufebzegansazRvrul haariszomiTintegrebadfun qciaTafuries integralebisspecialuris aSualoebiswertilovanikr ebadoba. i.vekuas gamoyenebiTi maTematikis institutis gafarToebuli seminari moxsenebis anotacia moxsenebaSi Seswavlilia Llokalurad kompaqtur abelis jgufebze gansazRvrul haaris zomiT integrebad funqciaTa furies integralebis specialuri saSualoebis wertilovani krebadoba. SedegebiilustrirebuliagarkveulilokaluradkompaqturijgufebisaTvis. 29
d.ugulava On the summability of Fourier saqarTvelos
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series of almost periodic functions on locally compact Abelian groups maTematikosTa me-5 saerTaSoriso konferencia. baTumi.2014w. 9-12 seqtemberi. moxsenebis anotacia ganxilulia lokalurad kompaqtur abelis jgufebze TiTqmis periodul funqciaTa furies mwkrivebis Sejamebadobis sakiTxi. miRebuli Sedegebi anzogadeben periodul funqciaTaTvis furies mwkrivTa Sejamebadob cnobil klasikur Sedegebs lokalurad kompaqturi abelis jgufebisaTvis. 30 d.ugulava, d.zarnaZe A central algorithmforthecalculation of Radon’sinversetransform in computerizedtomography. Third atlas south caucasusgrid&cloudcomputing workshop, Tbilisi, 2014
moxsenebis anotacia CvensmieradrekompiuterulitomografisamocanasTandakavSirebiTagebuliwrfiviganzog adebuladcentralurisplainurialgoriTmimoiTxovsgarkveulwoniansivrceSiradonisg ardaqmnisadaspecialurisferulifunqciebisskalarulinamravlebisdaTvlas. kompiuterulitomografisamocanaSiki, praqtikulad, cnobiliaradonisgardaqmnismniSvnelobebisasruloraodenobawertilebSi.Seswavlili aammonacemebissaSualebiTkompiuterulitomografisorganzomilebianalgoriTmSiSemav aliskalarulinamravlebismiaxloebiTgamoTvlissakiTxi.
d.ugulava On the summability of Fourier series of almost periodic functions on locally compact Abelian groups
saqarTvelos maTematikosTa me-5 saerTaSoriso konferencia. baTumi.2014w. 9-12 seqtemberi. 31
T.Jangveladze, M.Kratsashvili Asymptotic Behavior of Solution and Semi-discrete Difference Scheme
for one Nonlinear Integro- Differential Equation with Source Term
ivane javaxiSvilis saxelobis Tbilisis saxelmwifo universitetis ilia vekuas saxelobis gamoyenebiTi maTematikis institutis seminaris XXVIII gafarToebuli sxdomebi 22-24 aprili, Tbilisi, saqarTvelo moxsenebis anotacia ganixileba wyaros wevriani erTi arawrfivi integro-diferencialuri gantolebaTa sistema. aRniSnuli sistema dafuZnebulia maqsvelis cnobil modelze. gamokvleulia, rogorc sawyis-sasazRvro amocanis amonaxsnis yofaqceva droiTi cvladis usasrulod zrdisas, aseve naxevrad-diskretuli sxvaobiani sqema. 32
T.Jangveladze, Z.Kiguradze Semi-Discrete Scheme for One Averaged System of Nonlinear
Integro-Differential Equations kavkasiel maTematikosTa I konferencia, 5, 6 seqtemberi, Tbilisi, saqarTvelo moxsenebis anotacia ganixileba garemoSi eleqtromagnituri velis gavrcelebis procesis aRmweri 758
wyaros wevrebiani erTi arawrfivi integro-diferencialuri gantolebaTa sistema. gamokvleulia Sesabamisi sawyis-sasazRvro amocanis amonaxsnis yofaqceva droiTi cvladis usasrulod zrdisas. ganxilulia magnituri velis orkomponentiani, erTganzomilebiani da xarisxovani arawrfivobis SemTxveva. Seswavlilia Sesabamisi diskretuli analogebi. 33
On Numerical Solution of One NonlinearMulti-Dimensional System of Partial Differential
Equations saqarTvelos maTematikos- Ta V yovelwliuri kon- ferencia, 8-14 seqtemberi, baTumi, saqarTvelo moxsenebis anotacia ganixileba mcenareTa foTlebSi ZarRvovani ganviTarebis aRmweri erTi sistemis mravalganzomilebiani analogi. gamokvleulia cvalebadi mimarTulebis sxvaobiani sqema da naCvenebia misi absoluturad mdgradoba da krebadoba. 34
Some Properties of Solutions and Approximate Algorithms
for One System of Nonlinear Partial Differential Equations. Abstracts of International Workshop on Qualitative Theory of Differential Equations International Workshop on Qualitative Theory of Differential Equations (QUALITDE-2014), dedicated to the 125 birthday anniversary of Prof. A. Razmadze, 18-20 December, Tbilisi, Georgia moxsenebis anotacia ganixileba erTi arawrfivi modeli, romelic dafuZnebulia maqsvelis gantolebaTa sistemaze. gamokvleulia sxvadasxva saxis sawyis-sasazRvro amocanebi. naCvenebia, rom sazogadod amocanas ar gaaCnia globaluri amonaxsni. ganxiluliafizikuri procesebis mimarT gaxleCis dekompoziciuri algoriTmebi. damtkicebulia krebadobis Teoremebi rigebis miTiTebiT.Catarebulia ricxviTi experimentebi. 35 R.
Gachechiladze Unilateral Contact Problems with Friction Arising along the Normal, V International Conference of the Georgian Mathematical Union, Batumi 8-12 September (2014) V International Conference of the Georgian Mathematical Union, Batumi 8-12 September (2014) ganxilulia drekadobis Teoriis statikis sasazRvro-sakontaqto amocana erTgvarovani hemitropuli sxeulebisaTvis xaxunis gaTvaliswinebiT. am SemTxvevaSi xaxunis Zala warmoiqmneba ara sxeulis mxebi mimarTulebiT, aramed normalis mimar-TulebiT gadaadgilebisas. ganixileba ori SemTxveva, koercitiuli (rodesac sxeuli sazRvris nawiliT Camagrebilia) da 759
arakoercitiuli (sazRvari ar aris Camag-rebuli) SemTxveva. steklov-puankares operatoris meSveobiT sasazRvro-sakontaqto amocana ekvivalenturad daiyvaneba sivrciT variaciul utolobaze. variaciul utolobaTa zogad Teoriaze dayrdnobiT damtkicebulia susti amonaxsnebis arsebobisa da erTaderTobis Teoremebi. agreTve, koercitiul SemTxvevaSi, amonaxsnis amocanis monacemebze uwyvetad damokidebulebis sakiTxi. am SemTxvevaSi amocana amoxsnadia upirobod,xolo arakoercitiul SemTxvevaSi cxadi saxiT iwereba amonaxsnis arsebobis aucilebeli piroba, romelic garkveul damatebiT SezRudvebSi warmoadgens sakmaris pirobasac. 36
The boundary value problems of electroelasticity for piezo-electric half space with cut or elastic inclusion. qarTvel maTemati- kosTa konferencia(CMC I) 5-6 seqtemberi, 2014, Tbilisi moxsenebis anotacia gamokvleulia eleqtrodrekadobis Teoriis sasazRvro-sakontaqto amocanebi piezoeleqtruli naxevarsivrcisaTvis WriliT an cvladi sixistis mqone drekadi CarTviT. Aamocanebi Sesabamisad dayvanilia singularul integralur an integro- diferencialur gantolebebze uZravi singularobiT. Aanalizur funqciaTa Teoriisa da integralur gardaqmnebis gamoyenebiT miRebulia rimanis sasazRvro amocana, romelic gamokvleulia da romlis amonaxsni warmodgenilia cxadi saxiT. 37
Bblantidrekadobis sakontaqto amocanebis amoxsna drekadi CarTvis mqone firfitisaTvis. saqarTvelos maTemati- kosTa kavSiris me-5 saer- TaSoriso konferencia 8-10 oqtomberi, 2014, Tbilisi. moxsenebis anotacia agebulia efeqturi amoxsnebi integro-diferencialuri gantolebisa, romelic dakavSirebulia blantidrekadobis sakontaqto amocanebTan cocvadobis Tvisebebis mqone Txeli drekadi sasruli CarTvisa da brtyeli firfitis urTierTqmedebis Sesaxeb. Ggamokvleulia analizur funqciaTa Teoriis Sesabamisi sasazRvro amocanebi da dadgenilia ucnobi sakontaqto Zabvebis yofaqceva drekadi CarTvis boloebis maxloblobaSi, rodesac CarTvis sisqe icvleba paraboluri da wrfivi kanoniT 38
n. SavlayaZe Eeleqtrodrekadobis sasazRvro amocana bzaris mqone piezoeleqtruli 22-24 aprili, 2014, Tbilisi.
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