SCIENTIFIC ABSTRACT KHARAZISHVILI, K.V. - KHARCHENKO, A.M.

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Document Number (FOIA) /ESDN (CREST): 
CIA-RDP86-00513R000721810008-4
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RIF
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S
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100
Document Creation Date: 
November 2, 2016
Document Release Date: 
September 17, 2001
Sequence Number: 
8
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Publication Date: 
December 31, 1967
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SCIENTIFIC ABSTRACT
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KHARAZISHVILI., K.V. Injurlcusn-.:-q.-i of Cicade",7vi montanit S~~op. !,) trif) wr;Ody plants in GeorgLa. Soob. AN Cruz. SSR 31 no.).-149-154 J-1 163. ~ M I RA 17,4 7 ~' SUPATASHVILI, Sh.M.; KIIARAZISHVILI, K.V. Study of gall.flies Olymenoptera., Cynipidae) in thr, oak forests of Georgia. Soob. AN Gruz. SSR 35 no.3:675-680 ", 164. (MIRA 17: 11) 1. Gr-uzinskiy institut zashchity rasteniy, Tbilini. Predstavleno chlenom-korrespondentom AN GrLzSSR. wnws-oww IK6t -dj) ...... 44-A .. ....... -9d .. . ....... di pf -'rL -vd. 0....... d. 'G"t '" ..j . atf CtL ~ tv . -9 -qTr -~.40 -..dA " ON 'bCbi dr ....... X _OCL ...... 'r9c d..j ..r.d .... W 'ZzL 65 L *61 *lb'g I.... A.43) -3 qq - ....d.- 0 --d .... it ... M A,Aj'TZL 'Ot *6 'LC6T VIC LCGI -Ad.A .6141 go -A - vd-v) Gc6j,A'-S---d-- .91.1d.j 'QZL .d-, "61 WIE -...a 0 lit -K61 ......... dA 3" V..R ...... )( -ju ...d..L, ... ~ . .-..d.o. vZ1 -m-E 0 It- -.,d..j ""'I .... -J ~611. Lot u6t Wit 14C61 *lb-E n w-9. --..,A.r I.... *LS61 -nd -V-1 X - - - - I -..u 11-d-dJ ---( 'M AV ......... )I .... v.j -qtL va 'Pat If 9z cc6t MIE 'ot W '51 '-'d3DJ HY '59-3 'It -CS61 --Ax L -,gt ...... d. ..d ... . ..... ...... 'rot gcif .... ... -..dLj ....... S, .,Sol -omvdq--a --J-4 .-V ,,o,*H acvvrwqvj'LlL . ....... V d" Q.t 'LC&t "h-E ~4.A- - - - - ~ ..9 1 -:: . ......... L 'rill. -*lot A. !Csb I *t Ali Lot 19;5r 'SW ..... . .. Ad.4 ....9 ----r.Ab ....r ~dv~ _d~ -dmo-Itj ff KHARAZOV, Dore Some properties of eigenfunctions and resolvents of integral equations with rational kernels relative to the poxameter. Soob. AN Gruz.SSR 8 no.4:205-210 047. (MA 9:7) l.Akademiya nauk Gruzinskoy SM, Thilicakiy matematicheakiy Institut imeni AoMJtaxmadze. Predstavlano da7stvitallnym chlenom Akademii I.N.Vokua. (Integral equations) (liganfunctions) KIIARAZOV D. 7 Linear intef;ral equations whose kernel is the poly-nomiml of the second degree relative to the parameter. Soob.AN G-ruz.SSR 8 no.5: 275-281 14 (KWA 9: 7 l.Akademiya nauk Grustaskoy SSR, Thilieskiy matematichaskil institut imeni A.M.Razmadze i Tbilieski3r gasudaretvannyy ivAversitet imeni Stalin&. Predstavleno daystvitellnym chlanom Akad-smii I.N.Vokua. (Integral equations) D. F. kh-, War. the-viy W -xi taietia. equaiic~&& with kernels polynomial-in a parameter- SooM&n1Y1__1 Akad. Nauk- Gruzin. SSR. 9, 91-98 (1948). (Russian) The author studies the equation i G(x, y;X)u(y)d~i-f(x), UW-f whem (2) G - E"oX"G.(x. y), the G.(x. y) are real and in US) [S-(a~_-x,y1=b)1, f is real and in Lj(a,b). Ily- pothesir (G) consists of the conditions: (a) the G. are orthog- ' s paper reviewed second onal on S in the sense of the author above, referred to as (H); (b) ffGa(x, y)O(x)O(y)dxdy 0 (1) 1 qy~ - (x,HAiy) 2 for arbitrary xr=X, yC-X. Then the equation 2 A and the sequence of the has only real eigenvaiuss Nit 2""'__&nP ... corresponding eigenelements can be chosen such that (3) (EX V'k) +A i;k k(HA2Xi'Xk) 0 '6ik (i,k-1121 ... The following theorems are proveds 1. If the operators HAi and HA2 are not simultaneously zero-operators, then Doklady Akad.1-Tauk 111.L 544-546 (1956) CARD 2/2 PO - 633 the equation (2) has the eigenvalues -