SaqarTvelos teqnikuri universiteti mecnierebis departamenti
Download 7.06 Mb. Pdf ko'rish
|
|
F
aris R
RerZze gansazRvrul mkacrad zrdadi uwyveti ganawilebis funqcia da µ
aris
funqciiT gansazRvruli borelis albaTuri zoma
RerZze. vTqvaT, yoveli : R θ ∈Θ =
parametrisaTvis ,
∈ θ + θ
maSin Zvra-zomaTa N - xarisxebis R N ) ( ∈ θ θ µ
ojaxisaTvis Sefasebebi m n m n n T ~ sup inf T ~ lim ≥ = da
m n m n n T ~ inf sup T ~ lim ≥ = , sadac
) N n ( R R : T n n ∈ → aris asaxva gansazRvruli pirobiT
1 1
#(( , 0]
{ , , }) ( , , ) ( )
n n x x T x x F n − −∞ ∩ = −
n n k 1 k R ) x ( ∈ ≤ ≤ elementisaTvis, warmoadgens θ
727
SerCeviT Zaldebul Sefasebas R N ) ( ∈ θ θ µ ojaxisaTvis. # avtori/
avtorebi statiis saTa- uri, Jurna- lis/krebulis dasaxeleba Jurnalis/ krebulis nomeri
gamocemis adgili, gamomcemloba gverdebis raodenoba 8
problem and linear singular integral equation with measurable coefficients in Lebesgue type spaces with a variable Exponent. Mem. Differential Equations Math. Phys. tomi 61
Tbilisi, Tsu-s
gamomcemloba 43
anotacia ganxilulia rimanis sasazRvro amocana zomadi koeficientiT im funqiaTa klasSi romelTa simkvrive ekuTvnis lebegis cvlad maCveneblian sivrces da maxasiaTebeli singularuli gantoleba aseTive sivrceSi. SemoRebulia zomad funqciaTa iseTi klasi, romelic aris simonenkos cnobili klasis ganzogadeba da misadagebulia cvladmaCveneblian SemTxvevasTan. dadgenilia amoxsnadobis pirobebi, agebulia amonaxsnebi. 9
v. paataSvili The Riemann- Hilbert problem in Smirnov class with a variable exponent and an arbitrary Power weight. Proc.A.Razmadze Math .Inst. tomi 165 Tbilisi, Tsu-s
gamomcemloba 17
anotacia Seswavlilia riman-hilbertis amocana cvladmaCveneblian smirnovis wonian klasSi iseTi arisaTvis, romlis sazRvars aqvs kuTxuri wertili, xolo wona aris am wertilis mimarT xarisxovani funqcia nebismieri namdvili maCvenebliT. 10
criteria of the Riemann-Hilbert problem for variable exponent Smirnov classes in Proc.A.Razmadze Math .Inst. tomi 164 Tbilisi, Tsu-s
gamomcemloba 7
728
domains with piecewise smooth boundaries. anotacia uban-uban gluvi wiriT SemosazRvrul areSi riman-hilbertis amocana cvladmaCveneblian smirnovis klasSi tolfasia koSis singularuli integraluri gantolebisa lebegis sivrceSi, naCvenebia, rom Tu wirs aqvs gareukuqcevis wertili an iseTi kuTxuri wertili, romelSiac sivrcis maCvenebeli funqciis mniSvnelobis Sefardeba kuTxis sididesTan udris pis, maSin gantoleba ar aris normalurad amoxsnadi da maSasadame arafredholmuria. 11
Бежуашвили
O разрешимости третьей и четвертой основных трехмерних динамическихгранично-контактных задач гемитропной теорий упругости. saqarTvelos sainJinro siaxleni NO.2.VOL.70, 2014, 11-15 G Georgian Federacion for Informacion and Documentacion (GFID), NGO Georgian Engineering News (GEN) LTD
Tbilisi 0179, Kostava 47
5 anotacia ganxilulia mesame da meoTxe ZiriTadi dinamikuri sasazRvro-sakontaqto amocanebi samganzomilebiani hemitropuli drekadi sxeulebisaTvis, amocanebi amoxsnilia furies meTodis gamoyenebiT. 12
Kokilashvili and Ts.
Tsanava Some approximation results in subspace of weighted grand Lebesgue spaces, Proc. A. Razmadze Math. Inst.
164
Tbilisi, Tsu-s
gamomcemlob a
5 gv. anotacia aproqsimaciis TvalsazrisiT ganxilulia grand lebegis woniani sivrcis is qvesivrce, romelic warmoadgens lebegis woniani sivrcis Caketvas masSi. qvesivrcis ganxilva ganpirobebulia imiT, rom TviT woniani grand lebegis sivrce ar aris separabeluri, gluvi funqciebis Caketva am sivrceSi ar emTxveva TviT grand lebegis wonian sivrces. dadgenilia funqciaTa konstruqciuli Teoriis pirdapiri da Sebrunebuli Teoremebi zemoaRniSnuli qvesivrcis funqciebis trigonometriuli polinomebiT miaxloebis Sesaxeb. 13 N. Danelia, Two weight uniform boundedness 165 Tbilisi, 5 gv.
729
V. Kokilashvil i and Ts. Tsanava
criteria for the Cesáro means with variable order, Proc. A. Razmadze Math. Inst. Tsu-s
gamomcemlob a anotacia Seswavlilia cvladi rigis Cezaros saSualoebis maJorantebis SemosazRvrulobis sakiTxi lebegis sivrceebSi orwoniani dasmiT. dadgenilia aRniSnuli maJorantebis lebegis erTi woniani sivrcidan meore wonian sivrceSi SemosazRvrulobis aucilebeli da sakmarisi pirobebi. 14
On the convergence of Fourier integral means of functions defined on locally compact Abelian groups 2014
(ibeWdeba) i.vekuas gamoyenebiTi maTematikis seminaris moxsenebebi 6 moxsenebaSi Seswavlilia Llokalurad kompaqtur abelis jgufebze gansazRvrul haaris zomiT integrebad funqciaTa furies integralebis specialuri saSualoebis wertilovani krebadoba. SedegebiilustrirebuliamagaliTebiT.
15 T.Jangveladze, M.Kratsashvili Asymptotic Behavior of Solution and Semi-discrete Difference Scheme
Integro- Differential Equation with Source Term.
Reports of Enlarged Sessions of the Seminar of I. Vekua Institute of Applied Mathematics V. 28
saqarTvelo, Tsu i.vekuas saxelobis gamoyenebiTi maTematikis instituti 4 Aanotacia 730
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. 16
Kiguradze, A. Kratsashvili Large Time Behavior of Solution and Semi-Discrete Scheme for One
Nonlinear Integro- Differential Equation with Source Terms.
Applied Mathematics, Informatics, and Mechanics V.19, N2 saqarTvelo, Tsu i.vekuas saxelobis gamoyenebiTi maTematikis instituti 9 Aanotacia ganixileba wyaros wevriani erTi arawrfivi integro-diferencialuri gantoleba. aRniSnuli modeli warmoiSoba garemoSi eleqtromagnituri velis gavrcelebis process aRwerisas. gamokvleulia sawyis-sasazRvro amocanis amonaxsnis yofaqceva roca ∞ →
. Seswavlilia Sesabamisi naxevrad- diskretuli sxvaobiani sqemac. 17
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 QUALITDE- 2014
saqarTvelo, Tsu a.razmaZis maTematikis instituti 4 Aanotacia ganixileba erTi arawrfivi modeli, romelic dafuZnebulia maqsvelis gantolebaTa sistemaze. gamokvleulia sxvadasxva saxis sawyis-sasazRvro amocanebi. naCvenebia, rom sazogadod amocanas ar gaaCnia globaluri amonaxsni. ganxilulia fizikuri procesebis mimarT gaxleCis 731
dekompoziciuri algoriTmebi. damtkicebulia krebadobis Teoremebi krebadobis rigebis miTiTebiT. Catarebulia ricxviTi experimentebi. 18
J.Peradze
An approximate method for the plate under sym- metric load Proc. I.Vekua Inst. Appl.Math.,
Tbilisi State Univ., v.64, 2014 I.Vekua Inst. Appl.Math.,
Tbilisi State Univ.
8 Aanotacia statiaSi ganxilulia timoSenkos arawrfiv diferencialur gantolebaTa sistema simetriuli firfitisaTvis. grinis funqciis gamoyenebiT mocemuli sistemidan gamoyofilia arawrfivi integraluri gantoleba ganivi gadaadgilebis w funqciis mimarT, romlis amosaxsnelad gamoyenebulia galiorkinis meTodi da iakobis iteracia. Sefasebulia iteraciuli procesis cdomileba. 19
J.Peradze, Z.Tsiklauri An iteration met- hod of solution of a nonlinear equti – on of a static beam
AMIM, I.Vekua Inst.Appl.Math. TSU, 19, 1, 2014 I.Vekua Inst. Appl.Math.,
Tbilisi
State Univ. 8 Aanotacia naSromSi ganxilulia sasazRvro amocana integro–diferencialuri gantolebisaT–vis, romelic aRwers kirhofis Zelis statikur mdgomareobas. amocanis amosaxsnelad gamoyenebulia iteraciuli meTodi, Seswavlilia misi krebadobis pirobebi, Sefasebu–lia krebadobis siCqare. 20
M. Beriashvili,
A. Kirtadze
measurability of real-valued functions with respect to some measures in space R N
Proc. A. Razmadze Math. Inst. 164, 2
A. Razmadze Mathematical Institute
3
anotacia
naCvenebia, rom yvela namdvil ricxvTa mimdevrobebis N R sivrceSi arsebobs namravli zomis mimarT masiuri funqciis grafiki. es faqti ki ganapirobebs amave sivrceSi difuzuri borelis zomis gagrZelebaTa klasis mimarT fardobiTad zomadi funqciis arsebobas.
b) ucxoeTSi
732
monografiebi # avtori/avtorebi monografiis saTauri
gamocemis adgili, gamomcemloba gverdebis raodenoba 1
Selected topics of invariant measures in Polish groups Nova Science Publishers, Inc., New York( 2014), XI+210 p. ISSN 978-1- 62948-831-8
210 Aanotacia aRniSnul monografiaSi warmodgenilia polonur jgufebze gansazRvruli kvazi- finituri difuziuri borelis zomebis zogierTi axali gamoyeneba cnobili maTematikosebis (magaliTad, qarmiqaeli, erdoSi, fremlini, darji da sxva) mier dasmuli amocanebis amosaxsnelad. usasrulo-ganzomilebian funqciaTa sivrceebis tixonovis topologiiT aRWurvil namdvil-mniSvnelobebian mimdevrobaTa sivrceSi Cadgmis gamoyenebiT SemuSavebulia axali midgoma sxvadasxva Zvrebis mimarT invariantuli difuziuri borelis zomebis asagebad da maT gamosayeneblad sxvadasxva kerZo warmoebulebiani diferencialuri gantolebis amosaxsnelad.
statiebi # avtori/ avtorebi statiis saTa- uri, Jurna- lis/krebulis dasaxeleba Jurnalis/ krebulis nomeri
gamocemis adgili,
gamomcemloba gverdebis raodenoba 1*
G. Chkadua, D. Natroshvili, Interaction of Acoustic Waves and Piezoelectric Structures Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma.3210, 2014. Wiley-Blackwell 22 anotacia gamokvleulia fsevdorxevisa da mdgradi rxevis Sesabamisi sakontaqto amocanebi, romlebic warmoiSoba akustikuri velis piezoeleqtrul struqturasTan urTierTqmedebisas. damtkicebulia arsebobisa da erTaderTobis Teoremebi potencialTa meTodisa da fsevdodiferencialur gantolebaTa Teoriis gamoyenebiT. 2*
A.Gachechiladze, R.Gachechiladze, D. Natroshvili Dynamical contact problems with friction for Georgian Mathematical Journal, DE GRUYTER 21
733
hemitropic elastic solids DOI 10.1515/gmj- 2014-0024 anotacia faedo-galiorkinis meTodis gamoyenebiT gamokvleulia da gaanalizebulia dinamikis sasazRvro-sakontaqto amocanebi hemitropuli sxeulebisaTvis, rodesac mxedvelobaSia miRebuli xaxunis efeqtebi. 3
D.Natroshvili Boundary value problems of elastostatics of hemitropic solids In: Encyclopedia of Thermal Stresses (R. B. Hetnarski, ed.), DOI 10.1007/978-94- 007-2739-7 Springer 11
potencialTa meTodisa da fsevdodiferencialuri gantolebebis Teoriis gamoyenebiT gamokvleulia elastostatikis ZiriTadi sasazRvro amocanebi hemitropuli sxeulebisTvis. 4
Mathematical problems in thermoelastostatics of hemitropic solids In: Encyclopedia of Thermal Stresses (R. B. Hetnarski, ed.), DOI 10.1007/978-94- 007-2739-7 Springer 12
anotacia potencialTa meTodisa da fsevdodiferencialuri gantolebebis Teoriis gamoyenebiT gamokvleulia Termo-elastostatikis ZiriTadi sasazRvro amocanebi hemitropuli sxeulebisTvis. 5
Thermo-radiating conditions: Somigliana type integral representations In: Encyclopedia of Thermal Stresses (R. B. Hetnarski, ed.), DOI 10.1007/978-94- 007-2739-7 Springer 9 anotacia Termodrekadobis Teoriis gantolebebisaTvis gamoyvanilia amonaxsnis zogadi integraluri warmodgena, Camoyalibebulia zomerfeld- kupraZis tipis gamosxivebis pirobebi da gamokvleulia ZiriTadi sasazRvro amocanebi potencialTa meTodis gamoyenebiT.
734
6* S.Kharibegashvili, O.Jokhadze Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation . Sb. Math.
Volume 205 No.4
IOP Publishing Bristol, UK 573-599
(27)
anotaciebi 1.gamokvleulia erTi Sereuli amocana arawrfivi talRis gantolebisaTvis dirixlesa da neimanis tipis arawrfivi sasazRvro pirobebiT. gantolebaSi da sasazRvro pirobaSi Semavali arawrfivi wevrebis gaTvaliswinebiT Seswavlilia amonaxsnis arsebobisa da erTaderTobis sakiTxebi. ganxilulia agreTve feTqebadi amonaxsnis arsebobis SemTxvevebi.
7* V. Kokilashvili, A. Meskhi , H. Rafeiro Grand Bochner- Lebesgue space and its associatespace Journal of Functional Analysis Vol. 266, No. 4
Elsevier 12 Aanotacia SemoRebulia grand boxner-lebegis sivrce da dadgenilia misi struqturuli Tvisebebi. Seswavlilia aseve misi asocirebuli sivrcis Tvisebebic. 8*
M. Mastylo, A. Meskhi On the bounded- ness of the multi- linear fractional integral operators Nonlinear Analysis, Theory, Methods and Applications Vol. 94
Elsevier 6 Aanotacia miRebulia aucilebeli da sakmarisi piroba wonaze, romlisTvisac adgili aqvs kvalis utolobas mravladrwivi risis potencialisaTvis. 9* V. Kokilashvili, Estimates for Complex Variables Taylor and 17
735
A. Meskhi H. Rafeiro, nondivergence elliptic equations with VMO coeffi - cients in gene - ralized grand Morrey spaces and Elliptic Equation Vol. 59, No. 8 Frances
anotacia damtkicebulia kalderon-zigmundis komutatorebis SemosazRvruloba grand moris sivrceebSi da aRniSnuli Sedegi gamoyenebulia VMO koeficientebiani elifsuri gantolebebis amonaxsnebis regularobis Sesaswavlad. 10*
A. Meskhi
Two-weight norm estimates for subli- near integral opera-tors in variable exponent Lebesgue spaces StudiaScientiarum MathematicarumH ungarica Vol. 51,No.3
Academiai Kiado 23 anotacia miRebulia orwoniani Sefasebebi naxevradwrfivi operatorebisaTvis wonian cvladmaCveneblian lebegis sivrceebSi. miRebuli Sedegebidan gamomdinareobs orwoniani utolobebi harmoniuli analizis iseT operatorebisaTvis, rogoricaa maqsimaluri funqciebi, singularuli integralebi da potencialebi. naCvenebia, rom zogierT kerZo
SemTxvevaSi miRebuli pirobebi warmoadgenen orwonian kriteriumebs. 11*
G. Murtaza M. Sarwar A characterization of the two- weighinequality for Riesz potentials on cones ofradially decre
a-sing functions Journal of Inequalities and Applications,
Vol. 2014:383. Springer 20 anotacia napovnia aucilebeli da sakmarisi pirobebi wonebze, romlebic uzrunvelyofs risis potencialis operatoris Semosazvrulobas wonian lebegis sivrceebSi klebad funqciaTa konusebze. dadgenili pirobebi integraluri tipisaa da advilad Semowmebadia. amocana Seswavlilia potencialebisaTvis namravliani gulebiT. Sedegebi miRebulia erTgvarovan jgufebze gansazRvruli potencialebisaTvis, Tumca axalia evklides sivrceebSic. 12*
M. A. Onthe bounded -ness of maximal and Journalof Mathema -tical Inequalities
EleMAth
, Zagreb
30 736
Zaighum potential operators in variable exponent amalgam spaces Vol. 8, No. 1 anotacia dadgenilia erwoniani kriteriumi maqsimaluri operatorebisaTvis cvladmaCveneblian amalgam sivrceebSi. napovnia aucilebeli da sakmarisi piroba wonaze, romlisTvisac adgili aqvs kvalis utolobas risis potencialisaTvis aRniSnul sivrceebSi. gamokvleulia agreTve zogadi
tipis operatoris SemosazRvruloba aRniSnul sivrceebSi. 13*
U. Ashraf, M. Asif A. Meskhi Kernel operators on the upper half-space: bounded -ness and compact -tness
criteria Turkish Journal of Mathematics
Vol. 38, No. 1. Tubitak
17 anotacia Seswavlilia woniTi
amocanebi zeda
naxevarsivrceSi gansazRvruli dadebiTguliani integraluri operatorebisaTvis. kerZod dadgenilia kvalis amocanisa da kompaqturobis kriteriumebi. aRniSnuli operatorebisaTvis Sefasebulia arakompaqturobis zomac. 14
Kokilashvili A. Meskhi One-weight weak-type estimates for fractional and singular integrals in grand Lebesgue spaces
Vol. 102 IMPAN
12 anotacia aRwerilia orwoniani susti tipis utoloba singularuli integralebisa da potencialebisaTvis grand lebegis sivrceebSi makenhauptis pirobebis qveS.
15*.
G.Berikelashvili ,
N. Khomeriki On the convergence rate of a difference solution of the Poisson equation with fully nonlocal constraints
Modelling and Control 2014, Vol. 19,
No. 3, 367 - 381 Vilnius
University Institute of Mathematics and Informatics
anotacia marTkuTxa areSi gnxilulia puasonis gantoleba. klasikuri sasazRvro 737
pirobebis nacvlad mocemulia integraluri saxis SezRudvebi konturis mosazRvre ξ siganis Siga zolze. agebuli da gamokvleulia Sesabamisi sxvaobiani sqema. damtkicebuliamiaxloebiTi amonaxsnis -1
rigiT krebadoba, roca diferencialuri amocanis amonaxsni miekuTvneba (1 3)
s < ≤
maCveneblian wiladur sobolevis sivrces. 16*
Mindia Salukvadze,
Guram Beltadze Optimal Principle of Stable Solutions in
Lexicographic Cooperative Games. International Journal of Modern
Education and Computer Science (MECS) Volume 6, Number 3, March 2014 Hong Kong, MECS Publisher M 8
leqsikografiuli T m v v v v ) ,..., , ( 2 1 = kooperatiuli TamaSisaTvis Semotanilia neiman – morgenSternis amonaxsnebis - ) (v NM , rogorc mdgradi amonaxsnebis optimalurobis principi. damtkicebulia ) (v NM -s arsebobis pirobebi im SemTxvevebisaTvis, roca: 1. 1
skalaruli kooperatiuli TamaSis −
guli )
1 v C da
) ( 1 v NM amonaxsnebi tolia; 2. 1
skalaruli kooperatiuli TamaSis −
guli )
1 v C da
) ( 1 v NM amonaxsnebi gansxvavebulia. ) (v NM amonaxsnebis arsebobis SemTxvevaSi SesaZlebelia maTi saxis dadgena. dadgenilia ) (v NM amonaxsnebis zogierTi Tviseba.
17
Pantsulaia, G.; Rusiashvili N. On a certain version of the Erdös problem.
257--264. MR3236619
Publishers, Inc., New York
8 AanotaciaA Seswavlilia erdoSis amocanis erTi versia. Ufro zustad, damtkicebulia, rom ar arsebobs mudmivi
, iseTi rom sakoordinato sibrtyis yoveli simravle romlis gare zoma metia
-ze, Seicavdes sam iseT wertils, 738
romelTa mier gansazRvruli samkuTxedis farTobi toli iyos erTis. Ddamtkicebulia, rom winadadeba “yoveli brtyeli simravle romlis gare zoma tolia
+∞ -is, Seicavs sam iseT wertils, romelTa mier gansazRvruli samkuTxedis farTobi erTis tolia” aris damoukidebeli ( ) & ( ) ZF DC Teoriisagan. erdoSis amocanis Seswavlilia agreTve usasrulo- ganzomilebian separabelur banaxis sivrceze gansazRvruli shy- zomisaTvis da dadgenilia, rom yoveli ricxvi [0,1[ intervalidan warmoadgens erdoSis ricxvs. usasrulo-ganzomilebian hilbertis 2
sivrceSi agebulia haaris azriT masiuri simravle, romelic ar Seicavs sam iseT wertils, romelTa mier gansazRvruli samkuTxedis farTobi erTis tolia. 18
Pantsulaia, Gogi R.; Gill, Tepper
L.; Giorgadz e, Givi P. On a heat equation in an infinite- dimensional separable Banach
space with Schauder basis.
149--165. MR3235999
Publishers, Inc., New York 17
Aanotacia ASauderis bazisis mqone usasrulo-ganzomilebian separabelur banaxis sivrceSi agebulia siTbogamtarobis gantolebis amonaxseni. Gintervalze uniformulad ganawilebuli namdvil-mniSvnelobiani mimdevrobebis Tvisebebi gamoyenebulia erTi algoriTmis asagebad, romelic iZleva Sesabamisi amonaxsenis aproqsimaciis saSualebas. 19
Pantsulaia, M.Kintsuras hvili Why is Null Hypothesis rejected for''almost every"
infinite sample by some Hypothesis Testing of maximal
reliability? Journal of Statistics: Advances in Theory and Applications, Volume 11, Number 1, 2014, Pages 45-70
http://www.scientificadvances.co.in/artical /4/137
Scientific Advances Publishers 26
Aanotacia 1973 wels qristensenis mier da dinamikur sistemebTan dakavSirebiT 1992 wels 739
hantis, sauerisa da iorkes mier xelaxla Semotanili haaris nul simravlis cneba gasuli ori dekadis ganmavlobaSi warmatebiT gamoiyeneboda gansakuTrebuli simravleebis Tvisebebis Sesaswavlad maTematikis iseT sxvadasxva ganStoebebSi, rogoricaa analizi, dinamikuri sistemebi, jgufTa Teoria da deskripciul simravleTa Teoria. aRniSnul naSromSi „gavrcelebis“ cneba gamoyenebulia usasrulo SerCeviTi statistikebis Tvisebebis Sesaswavlad da imis asaxsnelad, Tu ratom xdeba nul hipoTezis uaryofa „TiTqmis yvela“ usasrulo SerCevisaTvis maqsimaluri saimedoobis mqone statistikuri testebis saSualebiT . imis asaxsnelad, rom jan nunalis (1960) da iakob koenis (1994) hipoTezebi araa sazogadod marTebuli usasrulo SerCevebisaTvis, moyvanilia sasargeblo signalis egreT wodebuli, obieqturi da Zlierad obieqturi usasrulo SerCeviTi Zaldebuli Sefasebebis magaliTebi wrfiv erT-ganzomilebian stoqastur modelSi. 20 Pantsulaia, G.; Kirtadze, A. On
Witsenhaus en-Kalai constants for infinite- dimensiona l surface dynamical measures. Georgian Int. J. Sci. Technol. 6(2014), no. 2, 167--189. MR3236000
Publishers, Inc., New York 23
Aanotacia Gganxilulia adrindeli Sromebi, romlebic ukavSirdeba n -ganzomilebian erTeulovan sferoze gansazRvruli normirebuli zedapiruli zomisaTvis vitsenhauzen-kalais konstantebis dadgenas. Aanalogiuri amocana aris Seswavli- li usasrulo-ganzomilebiani hilbertis 2
sivrcis erTeulovan
∞ sferoze gansazRvruli gausis zomebisaTvis. Ddamtkicebulia, rom yoveli dadebiTi ε
ricxvisaTvis arsebobs S ∞ sferoze gansazRvruli iseTi gausis zoma, romlisTvisac vitsenhauzen-kalais konstanta mkacrad naklebia ε ricxvze. 21 Pantsulaia, Gogi R.; Giorgadze, Givi P. On a represe- ntation of the solution of a certain generaliz- ed heat equation of many variables in a multiple trigo - nometric series. Georgian Int. J. Sci. Technol. 6 (2014), no. 2, 133--148. MR3235998
Publishers, Inc., New York 16
Aanotacia MmiRebulia mravali cvladis siTbogamtarobis erTi ganzogadoebuli 740
gantolebis amonaxsenis jeradi trigonometriuli mwkrivis saxiT warmodgena 22 Pantsulaia, Gogi. On maximal plane sets containing only the vertices of a triangle with area less than one. Georgian Int. J. Sci. Technol. 6 (2014), no. 2, 113--117. MR3235996
Publishers, Inc., New York 5 Aanotacia damtkicebulia maqsimaluri “mcire” brtyeli simravleebis arseboba 2
sivrceSi, romlebic Seicaven mxolod iseTi samkuTxedis wveroebs romelTa farTobi erTze naklebia. naCvenebia aseve, rom 2
sivrcis yoveli maqsimaluri “mcire” brtyeli simravlis Caketva Seicavs iseTi samkuTxedis wveroebs, romlis farTobi erTis tolia. 23 Pantsulaia, Gogi
A classifica- tion of non- measurable real-valued functions de- fined on a me- tric space.
3, 249--256. MR3236618
Publishers, Inc., New York 8 Aanotacia ASemotanilia difuziuri aranulovani sigma-sasrulo borelis µ zomiT aRWurvil metrikul V sivrceze gansazRvrul namdvil-mniSvnelobian funqciaTa zogierTi klasi da Seswavlilia maT Soris mimarTeba (CarTvis TvalsazrisiT). kerZod, naCvenebia, rom roca V polonuri metrikuli sivrcea maSin µ-masiuroba V sivrceze gansazRvrul yvela namdvil-mniSvnelobian uwyvet funqciaTa traeqtoriebis gaswvriv eqvivalenturia V sivrceze gansazRvrul yvela namdvil- mniSvnelobian zomad funqciaTa traeqtoriebis gaswvriv µ-masiurobis. NnaCvenebia, rom mimarTeba funqciaTa Semotanil klasebs Soris arsebiTad icvleba, roca metrikuli sivrce (V,ρ) araseparabeluria. 24 Pantsulaia, Gogi; Giorgadze, Givi . A description of the behavior of some phase motions in terms of ordinary and standard "Lebesgue measures'' in $\Bbb R\sp
4, 285--329. MR3236047
Publishers, Inc., New York 45
741
\infty$. Aanotacia AnaSromSi mocemulia vtorTa mier bolo xuTi wlis ganmavlobaSi Catarebuli kvlevis Sedegebi. Se Sedegebia liuvilis tipis Teoremebi da isini aRweren sxvadasxva fazuri moZraobis yofaqcevas usasrulo-ganzomilebiani ordinaluri da standartuli “lebegis zomis” terminebSi. Aam mimarTulebiT ganxilulia Semdegi sami amocana Aamocana 1. sxvadasxva funcionalur sivrceSi lebegis zomis kerZo analogebis arsebobisa da erTaderTobis amocana; Aamocana 2. sxvadasxva kerZo-warmoebuliani diferencialuri gantolebiT gansazRvruli dinamikuri sistemis ageba funcionalur sivrceebSi; Aamocana 3. sxvadasxva funcionalur sivrceSi liuvilis tipis Teoremebis martebulobis dadgena usasrulo-ganzomilebiani ordinaluri da standartuli “lebegis zomis” terminebSi. 25
T.Gill, A. Kirtadze, Aleks, G.Pantsulaia A.Plichko, Existence and uniqueness of translation invariant measures in separable Banach
spaces.Funct. Functiones Et Approx. Comment. Math. 50 (2014), no. 2, 401-- 419.
MR3229068
Faculty of Mathematics and
Computer Science of Adam Mickiewicz University 19
Aanotacia AnaCvenebia, rom namravli topologiiT AaRWurvil veqtorul N R sivrceze gansazRvruli iamasaki-xaraziSvilis zomis dasaSvebi borelis izomorfizmebis jgufi sakmaod mdidaria. xaraziSvilis midgomis saSualebiT damtkicebulia, rom yovel polonur veqtorul sivrceze arsebobs sigma-sasruli aratrivialuri borelis zoma, romelic invariantulia amave sivrcis yvelgan mkvrivi veqtoruli qvesivrcis mimarT. Ees Sedegi aZlierebs Sauderis bazisis mqone usasrulo-ganzomilebiani separabelur banaxis sivrceebisaTvis gilis, fanculaias da zaxaris mier miRebul msgavs Sedegs. naCvenebia, rom usasrulo- ganzomilebian polonur veqtorul sivrceze gansazRvruli yoveli sigma- sasruli borelis zoma, romelic Rebulobs erTis tol mniSvnelobas fiqsirebul kompaqtur simravleze da invariantulia wrfivi qvesivrcis mimarT, ar flobs erTaderTobis Tvisebas. markuSeviCis bazisis mqone banaxis sivrceze gansazRvruli analogiuri zomebis gasrulebisaTvis msgavsi amocana ixsneba dadebiTad. erTaderTobis amocana gadawyvetilia uaryofiTad banaxis
sivrceze gansazRvruli ara-sigma-sasrulo semi-finituri Zvrebis mimarT invariantuli iseTi borelis zomisaTvis, romelic Rebulobs erTis tol mniSvnelobas standartul paralelepipedze(e.i., markuSeviCis bazisiT gansazRvrul paralelepipedze). damatebiT, banaxis
sivrceze agebulia iseTi 742
0 B µ zomis magaliTi, romelic flobs Zlieri erTaderTobis Tvisebas Zvrebis mimarT invariantul iseT zomaTa klasSi, romlebic arian gansazRvruli 0
µ -
paralelepipedebze emTxvevian maT moculobebs. 26
V. Kokilashvili and V. Paatashvili Dirichlet and Riemann-Hilbert problems in Smirnov classes with variable exponent in doubly-
connected domains. J.Math. Sce. 198(6)
Springer Science, New York 12 anotacia gamokvleulia riman-hilbertis amocana cvladmaCveneblian smirnovis klasSi oradbmuli aris SemTxvevaSi. dadgenilia amoxsnadobis rigi aucilebeli da aucilebeli da sakmarisi pirobebi; miTiTebulia amonaxsnis agebis gza. gansakuTrebuli yuradReba eTmoba dirixles amocanas. 27
Z.Kiguradze Semi-Discrete Scheme for One Nonlinear Integro- Differential System Desc- ribing Diffusion Process of Electromagnetic Field Advances in Applied and Pure Mathematics. Proceedings of the 7 th
on Finite Differences, Finite Elements, Finite Volumes, Boundary Elements (F-and-B '14) WSEAS Press
www.wseas.org
5 Aanotacia ganixileba erTi arawrfivi integro-diferencialuri gantolebaTa sistema. gamokvleulia Sesabamisi naxevrad-diskretuli sxvaobiani sqema. damtkicebulia krebadobis Teorema. Catarebulia Sesabamisi ricxviTi eqsperimentebi.
28
T.Jangveladze, Z.Kiguradze, G.Lobjanidze Variational Statement and Domain Decomposition Algorithms for Bitsadze- Samarskii Nonlocal V.2014 International Journal of Partial Differential Equations 8
743
Boundary Value Problem for Poisson Two- dimensional Equation Aanotacia ganixileba biwaZe-samarskis aralokaluri sasazRvro amocana. mocemulia aRniSnuli amocanis variaciuli formulireba. gamoyenebulia aris dekompoziciisa da Svarcis iteraciuli meTodebi. gamokvleulia rogorc mimdevrobiTi aseve paraleluri algoriTmebi. 29
T.Jangveladze Some Properties and Numerical Solution of One- Dimensional Nonlinear Electro- magnetic Diffusion System Recent Advances In Appliedmathematics, Modelling and Simulation. Proceedings of the 8th International Conference on Applied Mathematics,Simulation, Modelling (ASM '14) WSEAS Press
www.wseas.org
5 Aanotacia ganixilebamaqsveliserTganzomilebiani arawrfivigantolebaTa difuziuri sistema. Seswavlilia naxevrad-diskretuli gasaSualebuli aditiuri modelebi. agebulia sasrul-sxvaobiani sqemebi da mocemulia krebadobis Teoremebi. 30
Z.Kiguradze On Investigation and Approximate Solution of One Nonlinear Partial Integro-
Differential Equation with Source Term Recent Advances In Appliedmathematics, Modelling and Simulation. Proceedings of the 8th International Conference on Applied Mathematics,Simulation, Modelling (ASM '14) WSEAS Press
www.wseas.org
6 Aanotacia ganixileba sawyis-sasazRvro amocana Sereuli sasazRvro pirobebiT wyaros wevriani erTi arawrfivi integro-diferencialuri gantolebisaTvis. Seswavlilia naxevrad-diskretuli da sasrul-sxvaobiani sqemebi. yuradReba gamaxvilebulia adre Seswavlilze farTo klasis arawrfivobebze. aseve ganxilulia amonaxsnis arsebobis, erTaderTobis da asimptoturi yofaqcevis sakiTxebi.
31* T.Jangveladze, Z.Kiguradze,
M.Gagoshidze, Stability and Convergence of the Variable gadacemulia gamosaqveyneblad International Journal of Biomathematics,
24 744
M.Nikolishvili Directions Difference Scheme for
One Nonlinear Two-Dimensional Model
World Scientific Aanotacia ganixileba organzomilebiani arawrfivi kerZowarmoebulebiani diferencialur gantolebaTa sistema. aRniSnuli sistemiT aRiwereba mcenareTa foTlebSi ZarRvovani ganviTarebis procesi. Seswavlilia cvalebadi mimarTulebis sxvaobiani sqema. naCvenebia sivrculi da droiTi cvladebis bijebismimarT am sqemis absoluturi mdgradoba. damtkicebulia krebadobis Teorema da miTiTebulia krebadobis rigi. Catarebulia mravalricxovani ricxviTi eqsperimenti. mocemulia miRebuli ricxviTi eqsperimentebis grafikuli ilustraciebi da analizi. # avtori/
avtorebi statiis saTauri, Jurnalis/krebu- lis dasaxeleba Jurnalis/ krebulis nomeri gamocemis adgili, gamomcemloba gverdebis raodenoba 32*
N.Shavlakadze, A. V.Sahakyan, Two Methods for direct numerical integration of the Prandtl equation and comprative analysis between them. Zhurnal Vichislitel’noi Matematiki i Matematicheskoi Fiziki. Eng. Transl.:Computational Mathematics and Math. Physics Vol.54,№8,2014 PleiadesPPublishing 7 anotacia ganixileba prandtlis tipis singularuli integro-diferencialuri gantolebis miaxloebiTi amoxsnis ori sxvadasxva algoriTmi.pirvel SemTxvevaSi meqanikuri kvadraturebis meTodiT uSualod ixsneba prandtlis gantoleba da ganisazRvreba haeris nakadis cirkulacia frTis profilis konturis gaswvriv. Mmeore SemTxvevaSi gantoleba formulirdeba cirkulaciis warmoebulis mimarT da igi ganisazRvreba meqanikuri kvadraturebis meTodiT, Semdeg kvadraturuli formulebiT xdeba cirkulaciis aRdgena. Catarebulia ricxviTi analizi da orive meTodisaTvis naCvenebia ricxviTi procesis 745
krebadoba. 33*
N. Shavlakadze, R. Bantsuri Solutions of integro- differential equations related to contact problems of viscoelasticity GGGG Download 7.06 Mb. Do'stlaringiz bilan baham: 
|