SCIENTIFIC ABSTRACT BAKHTEYEV, F. K. - BAKHTIN, I. A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000103110017-7
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 6, 2000
• Sequence Number: 17
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

BAFJITErI.V,j.4,,"
*Popular and scientific Turkmn names of p1mits" by
M.Nikitin"
and B.B.Karbabaov. Reviewod by .-'.Kh.Dakhteev. Bot.
zhur,, 48 no.7:
1065 J1 163. ("41M 16:0/)
A. Botanichoskly inatitift imnJ. Kwarova A], LeningTad.
(T~Lrkmenistan-i3otany--t~'omenclature)
(111kitin, V.V.)
(Kerbabnev, B.B.)

BAKHTEYLVI F.K)).
Present status of the problm or the orJvjii of' 4.!
'it Y. Dv.
AN SSSR. Ser. biol. no.516554,07 $-0 104. (141i"I'l
1,119)
1. Bottinicheskly Institut Im. Komarovii All' , I e

BAKHrr.TEV, F.X-h,
---
Hordem laguncullform S. Str. from tj--, neolithic !ep%),;tt.s of
Switzerland, Bo~, ishur, 50 no.,4:541-54 A.p ',~ -.
(MIRA 1815)
1, Botanicheskiy instltut imen5. Komnrova AN SISSR, lAnlngr~ad.

VAVILOV, Nikolay Ivanovichp akademiki-AUHTEYEVs F.M., oty. red.
tomal LIPSHITS,, S.Yu., otv, re-I.. toma
(Selected works in five volumes] labranrWe trudy Y piati
tomakh. Mookyap Naukae Vol.,5. 1965. 786 p. q1IRA 18111)

B&MEYEV, F.D.
"rimontal data on the nAture of irffieritance of SCO* Uxo-
--~ -
ncodo obarecters iA Hordeum spontansum C. Koch emend. Becht.
Genetiks no,2tl52-157 Ag 165* (MERA IWO)
I. lutitute of Botartyp Academy of Sclenoes of the UoS*S,Rep
laningrod,

BAKIITLrEVp F.Kh.; CHAVCHAVAME, Te.S.
Mussum of the VAqKomarov Botanical Institute of the
Acaderv of
Sciences of the U.S.S.R. Bot.zhur. 50 no.lOtl486-1490 0
165.
(MIRA 18:12)
1. Botaniobeskiy institut imeni Kowrova AN SSSR, Leningrad.

IT

!'~'Fl, T Y

I FOS- I I 60.n V, t,~,j

f o vi ktoh!

A
(-u,!cr*,jotiorj of bw~-le- s xyl,-s ae~lv_u fma
4

lrt-dv'jv!.' In cl)r .-Ja

YJ p orl;-,"n cf tx 1-1 t,)-

t
;r a IA9411-1

lll.i~nrme) amldot ';he f a
d-jv,n "in pr..,bl-~w I lie ori;-in at

ti

U,1#4, (J
Pit. o" wlait-ir via ititivo 6&--ic9 !:,)1: .)4
)l ---hp ulult'iac. 2LU-.Iatr V AT,. -Al Ott
f!-Qm 11,3
r; L X"WWr VfA.-i 0 W fj.'3 I VLI-Itq c%~r u, rs,

Gcclfgry cf tmma nansifs of necondary quartziV.9 in the Kourradakiy
rei,,I.on (southweetern part of tho lake Ba2khash region). Geo2.rud.
c-estorozh, 7 no*4&26-33 J'j-Ag 165* (MIPJ, 18:8)
1. Moskovskiy polorazvedochnyy inBtitut Im. Ord7honikidze., Moskva.

BAKHTEYEVP M.K.; LIFSJHITS,~ I.F.; POPOV, V.S.; STROGANOV, A.N.
Age of Intrusive rocks In the southern part of the Tokrau
synolinorlum (central KazakhatAn). Vest. Moak. un. Ser. 41
Geol. 20 no.409-46 JI-Ag 165. (MIRA IM)
1. Kafedre istoricheskoy I reglonallnojr geologli Hoskovexogo
univeralteta.

fAl an

------ --- -- ---
SAY ITIT, N.G.
kschanized feeding of line to mortar idlers. Rats. i isobr. prodl.
v strol. po.7:47-48 158. (MIRA 11:12)
leTrest ftalingradmetallurgetray.
Ii (Idus) (Mixing saahinery)

RYSKIN, M.Ya.; TSVETKOV, I.T.; MTqCFANOV, S.I., prof.,
rukovoditell rabotyj
Prinimali uchastiyes BAKIITFYFV, N.Ye.; KOLOSOV, A.A.;
SHOLYUK, L.P.
Combiped filtntion of fluxes nnd copper concentrate.
TSvet. met. )6
no.1206 D 163. (MRA 17:2)

--- - -- POLMO-V0Yeej A.S.p biolog
--- -
Myoologio&l studies in b&rberoh%m. Gig.j san. 25 no
(Q69 I 160o
CM 14$i)
1, Is 04obalkovskoy sanitamo-opidemiologiohookoy otantail
Wookovokoy
W*oti.
. (HAIRCUTTIhV-HYGINNIC ASPECTS) (DEMATCHrOOSIS)

(i.t,.j DOLINI'l, D.!'.; KUMAIN.,
4:,KIITj4R -Y
Crysta3lizatt.-)n tLn,,J atri-tu-e cf an Ingot madle by aro
molting.
Stal 1 24 no,9.&)9-812 3 16.4. (MIRA 1700)

W.KHT*RDV,.,X,I.; LOGINOV, V.ye.; POPOV, V.Ya., kand.
tekhn. nauk,, clots.,
r.. .... .-- retsensent; UVAROVA, A.F.? takhn. red.
[Technological processes of the machining of
precision paIrs)
Tekhnologiia obrabotki pretsisionnykh par. Moskva,
Mashgis,
1963. 286 p. (MIRA 160)
(Metal cutting)

L,SMI Electronics - Amplifiers
C,wd 1/1 j Pub. 89 - 25/28
Autbm 1 Bakhtiyarov
TAIS The simplest audio amplifier for a string inatrumect
ParlodicalI Radio 1. Page 57, Ian 1954
Abatract I A method for amplifying string instrument
sound& it, described,
Diagram.
Institutions .....
Subattteds *to**

ALITOV, 0.6, 4pq4m"f
The oil won will live, zmn, a ila 33 noaotl5-i? o o5s, (MINA Utll)
(Oil wells-Repairing)

- ------ 67800
AUTHOR: (Moscow) SOV/180-59-5-11/37
TITL& Dependence 9T the Size of Regions of Solid-Liquid State
in Ca-sting0on, the Position of the Alloy in the Phase
Diagramr
PERIODICALt Izvestiya Akademii nauk SSSR OtdelGniye
toldmich*3kikh
nauk, Metallurgiya i toplivol 1959,Nr 51 py '70-76 (USSR)
AWTRACT% Present opinion (Refs 1-7) holds that the griiater the
crystallization temperature range of an alloy, the
larger the region in oe cross-section of a i3asting in
which grystallizationDproceeft. The author points out
Tnat this view fails to take into account the intensity
of crystallization, i.e. the degree of complotion of
crystallization. The object of the present work was the
theoretical determination of the influence of intensity
of'or stallization on the formation,of traneltion (two-
phasef regions in solidifying castings. The author
Considers first two alloys with the same temperatures of
start and completion of orystallizationg but one having
Card the liquidus and solidus lin93 diver ing and the other
1/3 oonverging with falling temperature fFig la): the"lever
rule* shows that the main mass of solid phase precipitatese

678W
SOV/180-59-5-11/'37
Dependence of the Size of Regions of Solid-Liquid State in
Castings on the Position of the Alloy in the Phase Diagram
at temperatures close to the liquid and the solidus,
respectively. He next draws the solid-liquid regions
for castings of the respective alloyst assuming that the
part of' the temperature distribution curve lying within
the two-phase temperature range is straight, and
discusses the solidification under different. conditions.
It appears that to obtain the same temperature gradient
in castings of alloys with different crysta3lization
intensities, different heat transfer conditions must
deliberately be created. The author considers
solidification of alloys with different theimml
properties at equal rates of heat removal, showing that
here the temperature gradient through the casting depends
On crystallization intensity as well as on the width of
the temperature range. He makes use of an approximate
geometrical method to investigate the quantitative
relation between transition-zono widths in castings of
Card the two alloys, the main condition being t1utt in
2/3 castings having the same thermal properties the same
quantity of metal will solidify in a given time.

--67800
SOV/180-~9-5-11/37
Dependence of the Size of the Regions of Solid-Liquid State in
Castings on the Position of the Alloy in the Phase Diagram
He shows the adequate accuracy of the method and uses it
to determine the size of the solid-liquid zone in
castings of alloys with a eutectic-type diagram (Fig 2).
The author considers finally the application of his
theoretical constructions of the transition regions for
alloys of various compositions to the deternination of
size of solid-liquid state regions in castings in
relation to the position of the alloy on a 3olid-solution
and eutectio phase diagram (Fig 3). This shows that the
inclusion of intensity of crystallization in the
considerations gives an appreciably different value for
the transition region depth.
Card
There are 3 figures and 7 references, of which 6 are
3/3
Soviet and 1 is English,
ASSOCIATION: Institut tsvetnykh metallav (Moskva)
(Non-ferrous Metals Institute, (Moscow)
SUBMITTEDa May 28, 1959

_0654
S/180/60/000/*02/009/028
/Op. r~'r-:2 0 E111/9135
AUTHORt Bakhtiarovt_ B.A. (Moscow) IV
Solid-Liq:aid State in Castings of
TITLE: The Size of
Alloys of-Different Composition
PERIODICALs Izvestiya Akademii nauk SSSR,Otdel~nJye tekhnicheskikh
nauk, Metallurgiya i toplivol 1960$Nr 2, pp 56-62 (USSR)
ABSTRACTt The object of this work was to Investigate how the size
of the solid-liquid state zones in castings depends on
the position ofthe alloy on the equilibrium diagram.
The author discusses first) on the basis of published
(Refs 1-7) work$ the solidification ol' an alloy with a
solid-solution type of diagram which gives a solid-
liquid zone (Fig 1). The cooling curve which would be
obtained with a thermocouple at the centre of the casting
Is shown in Fig 2 and the author note3 that with high
cooling rates such curves can be used to find the
relation between the extent of the two-phase zone and
the position of the alloy on the equilibrium diagram,
ExperJpental work was carried out withAkl-Cu~"Al-Si-land
Card Al-4a1systems having solid-solution ranges'"ind eut-ectics
1/4 Alloys were prepared from grade AOO aluminium, 4-11",

B/18o/6o/ooO/02/009/028
Zlll/E135
The Size of Regions of Solid-Liquid State in Castings of Alloys
of Different Composition
grade TsO zinc, grade SIL-1 silumin and a 50150 Al.-Cu
alloy. The alloy, heated to 850-950 OC, was poured
into a vertical steel cylindrical ing-ot mould, heated
to the same temperature) 120 mm in internal diameter.
30 mm high and 1.5 mm in wall thickness. After exc'ess
of liquid metal had been removed a chromel-alumel
thermooouple of 0.5 mm diameter wires was immersed at
the zentre of the casting; the cooliug curve was
F4 g
recorded on a EPP-41.9 potentiometer, A. 3 shows
cooling curves for the alloys with 2,, 6, and 10% Si.
Based on such curves "kinetic diagranall, as-,proposed by
B.B. Gulyayev and O.N. Magnitskiy (Retfs 3v 5 and 7) were
constructed. These are shown, together with the
relative width, of the two-phase region, in Fig. 1+ whioh
relates to the Al-Si alloys. In Fig. 4b the top kinetic
curves pass through points denoting the time for the
Card two-phase region to reach the castir4, axis (represented
by points B In Fig 3); the bottom curves correspond t
time for complex solidification (points 0 in Fig 3);

69654
S/180/60/000/02/009/028
B111/1135
The Size of Regions of Solid-Liquid State in Castings of Alloys
of
Different Composition
time for complete solidification of primary crystals
(points n in Fig 3) is represented by interrupted lines.
For relating the size of the two-phase regions in
castings to alloy position on the solid-solution type
equilibrium diagram the author used Al-Znt the kinetic
diagram and width of the two-phase region are shown in
Fig 5. For comparison, Fig 6 gives the kinetic diagram
for Al-31 according to Gulyayev and Magnitskiy (Ref 3)
and the corresponding width curve. The author concludes
that this investigation has confirmed that from a cooling
curve obtained with a single thermocouple at the heat
centre of a casting the relative width of the two-phase
region can be determined. The greatest such width is
shown by alloys which in the equilibrium diagram lie
closest to the eutectie or to tho lower-malting solid-
solution system component. The decisive influence on
Card the two-phase zone width is exerted by the intensity of
3/4 crystallization, an idea proviously developed by the
author (Ref 8). U/

6~654
8/180/60/000/02/009/028
The Size of Regions of Solid-Liquid State in Castings of Alloys of
Different Composition
There are 6 figures and 9 references, of which 6 are
Soviet, 2 English and 1 Czech.
SUBMITTED: October 13, 1959
Card 4/4

s/i8o/62/ooo/oo4/ool/ooq
E193/F-383
AUTHORt Bakht-kar-oxiLA..-~ No a cow)
TITLE: The relationship between the amount of shrin1tage in
ca S t i 11,r
.s and the deposition of the alloy in the
constitution diagram
PERIODICAL: Alcademiya nauk 0SR. Izvostiya. Otdoleniye
tolchnichaskilch. nauk. Metallurgiya i toplivo,
no. 4, 1962, 62 - 69 + 2 plates
TEXT: Although it is generally accepted that the amount of
shrinkage porosity in castinSs increases with increasing
freezing
ranae of the alloy, this belief is based on railier inconclusive
evidence - hence the present investigation whoso object was '
qualitotively to determine the amount of shrinkaSe porosity in
chill-cnst ingots, to study its distribution and to relate
those properties to the freezing range of the alloys as deter-
inined by their position in the corresponding constitution
diagr4~ms. The experimental alloys included tho hypereutectic
alloys of the AI-Si and Al-Cu systems and the Al-Zn alloys (with
up to 82.51; Zn) forming a series of solid solutions in the
Al-Zn
Card 1/4

S/180/62/000/004/ool/oog
The relationship between E193/E383
systent. The alloys were chill-cast in thick-wallod, cylindrical
moulds, 50 uwi in diameter and 125 mm high. The shape and
dimensions of the primary pipes and the extent of the internal
zone of shrinlcaro porosity were determined on lonritudinal
sections of the insots. In addition, the volume of the primary
pipas was t;teasurcd directly from the volume of sand required
to
fill anch pipe and the amount of internal shrinka.;,e porosity
in tho affected zone was determined by mensurin.- the density of
samples cut from these zones and comparing it with tho values
obtained by the some method (hydrostatic weighing) for pore-
free materials. Sevoral conclusions were reached.
1) As, with increasing concentration of the second component,
the freezing ranZe of alloys of a given binary system increases,
tho width of tho zone of shrinkage porosity in chill-cast
ingots also incroasea, Tho maxiiijum width of this zone,
hot-lover,
in found not in alloys charactorized by the widest freezing
range
but in alloys which are situnted nenr the eutectic or - in the
case of a series of solid solutions - near the lower melting-
point component. 2) The main factor determining the extent of
Card 2/4

10 5/160/62/000/004/001/009
The relationship between E193/E383
the pasty zone in a solidifying ingot is not the vridth of the
froczinZ range of the alloy but the intensity, or rate, of
crystallization. 3) The character of the relationship between
the nmotint of shrin%aGo porosity in in:;ots' of a Z;iven
system and
their position in the corresponding constitution diagram are
also
determined by the intensity qf'crystallization of these alloys.
In cutectiforrous systems the maximum amount of shrinkago
porosity is found in alloys whose composition is Civen by the
point of intersection between the curve representing, the
tempera-
turo of the formation of a continuous crystal network (the
broken lines in FiCs. 3a and F ahowixt.S, respectively, i)arts
of the constitution diagrams of the Al-Cti and Al-Si systems)
and
the outectic line. The greatest amount of shrinkage porosity-,
in the case of systems comprisinC, a series of 801id solutions,
is found in in-ots or alloys situated near the lower melting
component in the composition range where the liquidus and
solidus
curves-converaeo There are 5 figures.
SUMMED: April 5, 1960
Card 3/4

The rolationahip between ....
Ei&6 3a:
s/i8o/62/000/004/001/oog
E193/F.383
Fig. 3
C.-C
Uj d7
Card 4/4

In thn
Tzvo AN
(M',T?A 1728)

-A V
AUTHOHo Bakhtiaroyj Be,, 25-58-3-16/41
TITLEi In the Name of Soience (Vo imya nauki)
PER10DICALi Nauka i Zhizn1s 1958, Nr. 3, pp 37-39 (USSR)
ABSTRAM A short biography of the Russian scientist, Academician
A.Ye.
Arbusov, head of the Kazanakiy filial-akademli nauk SSSR
(Kazan' branch of the USSR Academy of Sciences) and of the
Kazanskoys otdoloniye veesoyuznogo khimicheskogo obshchestva
imeni D.I, Mendeleyeva (Kazan' department of the All-Union
Chemical Sooiety imeni D.I. Mendeleyev), and winner of several
Lenin and Stalin prizes, is given.
There is one photo.
AVAILABLEs Library of Congress
Card 1/1 1. Biography

BLKHTIARUV,- R.A.(Momtkya); KhTS, A.kL(Moakva)
fffect of alloy couposition and the rate of cooling on the
distribution
of shrinkage cavities in cantingo, Ixv* AN
SSSR.Otd.takb.n&uk. Met.
i tople no.5:102-109 S-0162P (MIRA 15110)
(Nonferrous alloya.-Analpia) (Metal castings-Defecto)

'SAi. Cm;d Tech Sci -- (diss) "Research into parai,ieters
of working- h
, pa r of cultivators for inturtillage of t , cottor, pi. rt.1,
Tashkent, IP160. 23 pp with chnrt:~; (MitiIiitry of' flrrt~(;r nrd
L*ucondary
bpecinlist hdiient-jon I?6I,'.I;R, rio:;eow Inst of
Vechani,-.ntion and Electrifl-
cation of Ai-riculture); I?-- copif--,~; price not I-i.ven; (KL,
24-60, 1~2)
.1

-- BAKHTIARDVI--Sb-*ZG------
Some features of mechanisod interrov tillage of cotton
when interrovs
ars narrow. Isv.AN Vs.SSR no*W9-25 156. OM 24SO
(cotton poving)

BARIMAROV - Viktor ArAroyevich_L AVDREYANOV, V,.G., ctv.
red.;SHATILINA. F.K.
red.; SOT k;YUIIIK, A-X-, -tekhn. rerl.; BRAYMEA. M.1., tekhn.
red.
(Water resources development and calculations) Yodnoe
khoziaistvo i
vodokhozialstvonnyo ravehety. Leningrad, Gidrometeor.izd-vop
1961.
430 p. (Water resources development) (MIRA 34;12)

BAUTI"W,, V.A.
Conoeming ItPoSukhar64s article 'Uperimental
investigations,
of the transformation of maxiaxim disaWwgeo of
reservoirs and
ponds,* (*Nbtaorologia i gidrologlab No.122 1961).
)bteor, i
gidrol. mo*401-52 Ap 163. (MIRA 1615)
(Ponds) (Reservoirs)

- - --- 4 -- -
PANOVAI A.; KJSArITA, R.; RkMITIAROV. Yo.
- ~'A'
,-Jo "Tecbnology of artificial leather" b7 S.A.Payloy and
others.
. . Revinved by A.Panova, R.Muse,eya, I.Bakhtlarove
Koxh.-obuv.
proms D0,1004-35 0 159. (MIRA 13--2)
(Leather, Artificial) (Pavlov, $.A,)

TUSMVp BAt BMTIAROVA9 M.G,p red.; ZOLOTAREVA, 1.Z., t-okhn.red,
(Oil potentials of the Devonian in the eastern part of Tataretml
Neftenoenost' dayona Vostoka Tat&rii,, vol.4 153 p. (Mmk 171~)

VLASOV, Pavel Vasillyevich; KUDICiAVTMp D.5.p kand.
tekhn. nauk,
retsonzontj TALYZINt M.D., kand. tekhn. nauk, retsenzentj
BAKHTWOVA, M.G., red.; VINOGRADOVA, G.A.p tekhn. red.
[Studying the possibility of applying radioactive radia-
tion in the standardization of weaving processes)
Issledo-
venie vnmozhnostel primeneniia radioaktivnogo izlucheniia
pri normalizat9ii, protsessa tkachestva. Moskvap GizIeg-
prom, 1963. 150 P. (MIRA 1713)

RAPUSTIN , Ivan Illichj MAXIMICH; Lay
Takoylevichl WIAROVA,
-MAO-#, red.
(Nov brands of stools and cast irons and their
usi in the
machinery industry; a manual] Soyromennyo aorta
stalei i
chugunov i ikh primenenie v mashinostrooniij
uchabnoo po-
sobis, Moskva, Gislegpromp 1963. 42 p. (MIRA
1813)

LVKH Yl AROVA, M,G., red.
c.-J Tiki hair c,verine., a textbook) Ob.lagorazhi..
vit-.0t, v,,wl cvaiw..g: pokrvwi~,- uchfibnco p(mobia. Moskvat
IA.Fkwh IFAU-ItIliap 19N. P. (MIRA 18:4)

. I
~ ~ U I, ! , I I .. ~, ~ 1". -NIL red. I
Y... I F
i.i-- lkj,,jo I -,w-eut, "t, the toc,,iifl-i7s of wear-rosi3tant
leilttori I !Ilv~,,
I . i. -, 1---nasostoikAh podosh-
V-1fin"'hh hodl. Vl,:~,X.,!,q~ lopl~ala lmiiiottrlin, 19U,. 27 p.
40RA 18-5)

~ - I .. 111, A, ,
- -
~-- jw-)
Orchids. Vokrug eveta no.602 -To 154. (MMA 7 t 6)
(Orchids)

BAKRIAROVA, N.
-1
I.-
Cold fire. Tokrug eveta no.10:33-34 0 155. (KLRA 9:1)
(Phosphorescence) -06--

--BAKHTIMOVA-, -NO
I
Silkworn. To systa no,12:52-53 D 155. (K= g14)
"Silkworms)

LIMITS, I.D.; SIUVAWVA# L.S.; T rabote prinimale, uch
atiye'BAKHTIANOTA,
Te.P.
Artificial leather with a stletabed nonwoven base. Kosh.-obuv.
pr a. 2 no.8t24-26 AS 160. (KIRL 130)
(Leather, Artificial)

BI:RNSHTffNp m.Kh.; rkBxo, rax, PANN1194, M&LRj
SMALOVAP L.S.1
ZATORGISOVSKIY, A.D.; LUMTS,. 1.D.; WUNM, V.G.
Utilization of cotton manufacture vastes for the
production
of VIKI artificial leather'. Kab,-obar. prom. 5
no,6t25-28
Je 163. (MIRA 16t6)
(14ather, Artificial)

-- ------BAXHTIGOZIK,__I_G
Effect of floods and April-My precipitation an the autumnal
abin-
dance of small marine rodents in the Volga-Akhtuba Flood Plain,
*I.zhur. 41 no.71lO75-1082' JI 162. (HMA 1511l)
1
1. KharabaU Branch of the Anti-Plague St~tion of Astrakhan.
(Volga-Akhtubs rlood Plaina-Rodentia)
los

SXSKMOV, Y.G., otvetstvenn" red.: RAMMINA, I.S., red.; SOXDWY,
D.P..
red.; TARSHOT, P.R.. red.; TR&TW-.'1-r-, lle-khn.red.
[Nomenclature and price list of materials and equipment used
In the petroleum Industry) Nomanklatura-teennik materislov i
oborudovanita. primenlaemykh v neftlanoi promyshlennosti. Xoskva,
Goo.nauchno-takhn.izd-vo neft.i gorno-toplivnol lit-ry. Pt.l.
(Pipes, fittings, ferrous metals, quality steels) Truby, fitlegi,
chern.ve metally, stall kschestvennYe. 1957. 355 p. (KIRA 11:1)
1. Russia (1923- U.S.S.R.) Hinisteretvo neftyanoy promyshlonnosti.
(Patrols= industry-lquipment and supplies)

-DORMYEV, A. 1 TSVETKOV,-V.,-vrach,-- BMHTIN, A*
Readers relate, advise and criticize. Sov. profoolusy 18
no.806-37 162. (MIRA l5s4)
1. Predesdatell rayonnogo ko miteta professionallnogo eoyusa
ahelesnodoroshnikov Velikolukekogo otdoloniya Oktyabrlakoy
thelesnoy dbrogi (for Dorofeyev). 2. Belokolodealskaya
uohaatkovaya bolinitsa, Orlovskaya oblast' (for TSvetkov).
3. Zaveduyushohiy klubom Sualongerakogo lesokombinata,
Mariyekaya ASSR (for Bakhtin),
(Community centers)
(Orel Province-Agrioultural workers-Diseases and hygiene)

KONOVALOV, I., dAtor tekhn.nauk, PAIUENOV, A., bALANIN, V.,
kand.tekhn.-
nauk; SHCHERDAYOVA, R., karyJ,tekhn.nauk;jAKjjTj_U,_A.; BALIN,
N.
Measures for preventing lee jams on the lesser und greater
Northern
Uvina. Rech. transp. 21 no.2-44-46 F '62. (MIRA 15:3)
1. Predsedatell Kotlasskogo ls~olnitel'nogo komiteta deputatov
trudyashchikhsya (for Parfenov). 2. Nachal'nik hotlasskogo
te~hnicheskop uchastka Severnogo bas3eynovoro upravlenlya puti
(for Bakhtin). 3. Glavnyy inspektor Kotlasskogo tehhnicheskogo
uchastka (for Balin) 0
(Northern Dvina River--Ice on rivers, lakes, etc.)

MEDYANTSEV, A.N.p kand. tekhn.naukj KUKLIN, B.K.,
kand. tekhn.
nauk; FILDIONOV, A.F., inzh.; ..BAYMIN, A.F., inzh.;
SHUSHKOV2 A.M., inzh.; S1NYUGIN'0' Anzh.- CIOUNAYEV,
V.I., Inth.; MLIN, V.7a., inzh.; ZELIVYAN.~4iy'
A.Sheq
inzh.; ZIIIZIDV,, N.I.,, otv. red.
[Selecting systems of multiple-horizon mining of
flat seams
In the Donets Basin] Vy-oor skhem so-nmetnoi
razrabotki po-
logdkh plastov Donbassa. Moskva# Gosgortekhizdat,
1963. 106 p.
(MIRA 17:5)
1. Donetsk. Donetakly nauchno-isoledovatellskiy
ugollrory in-
atitut. 2. Donetskiy nauchno-iasledovatellskiy
ugolinyy institut
(for Kuklin). 3. Ukrainskly filial V3esoyuznogo
nauchno-
iseledovatel'skogo warksheyderskogo instituta (for
Medyantsev).

XMIN, B.K., insh.; Prininall uohastlye: TARATUTA, N,K., gornyy
Inshe;
21LITYANSKIY, A.M., gorVy iuzh.j-JALWU__q-, gornyy insh,;
DONDARN W 9 Ye.D.# gornyy insh.; YILINONOT, A.F., gornyy Insh.-
SOCHINSKIY, T.P.. otwered,; KKODWA, I.V,, red,iad-va;
IL'INMYA, G.M., takhn.red.: BMDYRZVA, Z.A., takhn.red.
Eselection of mining systems for flat Donets Basin seams] Tybor
sistes ratrabotki dlis pologikh plestov Donbassa. KoBkvs, Goo.
nsuchno-tokhusivd-vo lit-ry po gornonu delu. 1960 194
iKIRA JZ4)
(Donets Basin-Coal mines and mining)

KUKLIN# B.N.; prinimali uchastiyal ZEL'VrANSMp A.Shot
gornyy inshe;
BAIMINp A.F.,p gorn" insho; 1PILIHOEOV, A.F, I gornyy
insh.; TAU-
QTWAT46K-.-qgomyy bash.; BOWDARMO, le.D.p gcrM inth,;
KUW-
BMO Mes, kande t6khns 33auki otv. r*4.1
NURHUKHAMEDOVAt VOYS,
red. isd-val LOMINAp L.Neg tekhn, reds
[Analyzing the methods of mining flat seams in the
Donets Basin)
Analis eistem rasrabotki pologikh plastoy Donbass&.
Mosknp Goo.
nauohno-takhnt isd-vo lit-ry po gornomu delu, 1961. 5
p**
fHnu 3.4t6)
(Donets Buin-Coal mines and mining)

BUMTI!A-",,-Corrqy Insh.
Twit drifts for 4-4-- flat loan at great depths, U6011 Mtrl
6 no.U*2445 I (KM 15M)
. L Donetskly nauOhno-isslodovatel'skiy ugol'Wy institute
(Donato Buin.-Coal mines and and mining)

BAKIITINI LL, gornyy insh,j PIATKIN, A.M.,
kand.tokhn.nauk
Readers' response to B.S. Lokshinp LIA. Kiiashko
and I.&. Kiiashkots article *Combimd mining of coal
seams in the Lisichaukugoll Trust minese U oll Ukr,
6 no,&" Ag 162* M~ 15 1 n)
lo Donetakiy nauchno-iseledovatellskiy ugolinyy
instituta. (for Bakhtin~: 2. Inatitut gornqp dela
AN Ukr= (for Pyatkin
I .: (Mining engineering)
(Loko" ma.), (Iiiambkop-LIL.)

BAXHTII;, A.G. and AGAPOV, S.I.
BAKIITIN, A.G. and Agapov, S*I. "Fonwl Tiomm Vaccine against Hog
Cholerap"
Ms Vestnik Vaterinarly, Moscow;206-291 1941
Trans, X ~ , 'J

aAKIMO A.G.
BAKIMINq A.G,(candidate d# Veterinary Science) "cipitated
Vaccirwe againist
Bacillary Bryaipelap of Soine",
Sot TeatrSUMMOD90 Instituta Ek"riwntallnoy
Vaterinariy;191211952 uncl

-BAXHTIN, A.G., kandidi-t-vaterinarmykh nauk; KOROLRY, O.P., naucW
metrudnik.
Prophylactic, thorspoutic And recuperative meamom In diseases of
the
respiratory and digestive organs in pigs. Voterinarlis, 32
nool:46-49
j& 155. (K6VA 8:2)
1,N&uchn*-pr*Isvodstvonn&ya laUratorlya po borlbe s belesnyaml
moled-
nyaks esl'sk*kh*zyay*tv9nnykh shlystaykhlialsterstva sollskoge kho-
XYVB%T& Rsm.
(SWINS-111 SUSIS) (ALIMENTARY CAlkL--DISlASlS)(RlSPIRATORY
ORDANS-DISUS18)

BMTIN. A.G., kandidat vaterinarnykh nauk.
~ , -
Gastrointestinal diseases In pigs and their control.
Taterinariia
32 no.10:64-67 0 055. (nU 8:12)
I.Mauchno-proizvodetvennaya laborateriya Hinisteretva
sovkhozov
RSFSR.
(ALIM21TART CAILUr--DISBASIS) (SVINI--DISZLSZS)

BLWIN, A.G. kandidat vaterinarnykh nauk.
Dysentery In noVborn pigs. Voterlwila 33 no.6:30-32
Jo 156.
Mu 938)
1. Nauchno-proiwodstvannays, laboratoriya po borlbe a
bolasnywal
soloduyake, sel'akhokhozyayvtveWkh shivotnykh
Ministerstve, sov-
khosov RSM.
(Dysentery) (Svine-Diseases and posts)

SOLONICIN, P-.,, prof.;- A-*, kand, Yst. nauk; ZVASVIXOY,
As. kand. vot.
nook 10 1 ve . vrach.
Manual with great shortcomings ("Infections diseases In
@wine,
FAzAboo* for veterinary physicians and swine breaderal by
P.N.
Akdreev, XP. An4resv. Reviewed by P. Solorkin and others).
Yet*-
r1writa 34 no.IM448 0 157. (KLRA 10M)
(lowunicabl* diseases In animals)
(ftine-Disesses and posts)
(Andresy, P.N.) (Andreev, X.P.)

1-YUBASHENKO, S.Ya., prof.; ADAYKIN, P.V-; BAKIITIN, A.G., kard.
veter. rri-,jk;
NIKITIN, I.N., vaterinnrnyy vracOf rku takaya oblutl ); SAZON~';V,
YII.I., veterinnrn),y vrach (Irkutskaya oblastf); SAZONOVA.
voterinarnyy vrach (Irkutskayn oblast')
Leptospirosis of farm animals. Veterinarlia 41 no.7:16-42
Jl 164. (MIJ).A 18:11)
1. Nachn1'nIk veterinarnogo otAela Ullyanovakogo oblastnopo
upravleniya proizvodstva I zagotovok sallskokhozyaystvennykh
produktov (for Adaykin). 2. Vsesoyuznyy Inatitut eksperimntall-
noy veterinarli (for Bakht1n),

RkKIITIN, A. 1.
Utillzing the Nnetions of the dletrihition of *oprerj
leadi and
zinc An geochemical ctudleme Geokhlmila nool2tl324-1327 D
164o
(mrpA iota)
I* Kaz&nnkiy univeraltat,

BAKHTIN. AA~j MECHIKOVt O.S.
Sam results of using inclined hol,39 in the Belogorskiy open-pit
imine. Trudy Alt. OMMIJ AN Kazakh, SSR 13:109-IU 162, (MIRA 16:3)
(Belogorskiy region (ERst Kazakhstan Province)-Boring)

BAKHTINS
Soso problems in improving mining operations in the Andreyevakiy
open-pit mine, Trudy Alt. OHNII AN Kazakh. SSR IN115-120 f62.
(MIRA 160)
(Laninogorsk region (East Kazakhstan Provinoo)-Strip mining)
(Blasting)

MECHIKOV9 O.S.1 J*KHTINt A.K,j KURLYAWSEVP V.P.
Stereophotographic and numerical dater,-Anation of the content of
oversize in the disintegrated rock of exploded masses. Trudy Alt.
GM1411 AN Kazakh, SSR 1501-100 163. (MIRA 170)

-1 1 -
1. BARANOV9 M. F.; MAIMIN-A.J.1 TROITSKIY, B. A.
2. USSR (600)
4. Agriculture - Study and Teaching
7. Work practice of an agricultural propaganda group of the Taloveya
District
Agriculture Section. Voronezh Province. Doet. sellkhoz. no. 2, 1952.
9.. Monthly List of Russian Accessions, Library of Congress, January
.1953. Unclassified.

BAKHTINv B.T.; FOXHODZIWO V.-N..
. Seminar on boring and blasting operations in open-pit mines.
Metei gornorudeprous noo5t87 8-0 062. (KIRA 16d)
(Strip mining) (Blasting)

BAKHTINI,-9-!-, inzhe
Rootless mind@ Soxxholt, 10 noollt24 N 1610
MqMak PrOvincG--Coal minere) WPA 34:n)

BAKHTIN, B.T.
,Seminar concerning the condition of the equipment and the
technology
of boring and blasting operations. Not. i gornorud. pros. no. 202
Mr-Ap 164. (MIRA 170)

BANTIN, B.T,
Iron ore mininq in the Ukraine in 1962. Met. i gornoruds prolki,
noo3:
37-39 MY-Je 639 (MIRA 17:1)

-BAKHTIN, -B I
Principle research carried out in 1963 for the mining and ore
dreasIng industry of the Ukraine. Met. I gornoruds proms no.31
50-52 YV-Je 164. (MIRA 17tlO)

B.T.; NDGROBOV, V.P.
Seminar on the theme 'Increasing labor productivity and
reducing production costs in enterprisoe of the Ukrainian
ore mining industrye Hot. i gortorud. prom. no.MO
Vq-Je 1649 (MIRA 17t10)

~:::03 . ~, K , A . 'i . . I I A K Ii r: 4, B . 'I'!. ; N
rljlit "r 7p V 0 '; .
1: -
rystems of the undero,curid m1ning ;f Krlvc,y [-.4 Basin GreBo
prms nc*(,:8.:-,15 N-D 163.
(MIRA Ail)

BAKHTINO B.T.1 NEGROBOV, V.P.
Results of the seminar "Now developments in the equipment and
technology
of strip mining iron and manganese ores." Met. i gornorud proms no.51
73 3-0 164, iMIRA 1817)

BAKHTIN A., gornyy inzil.
Calculation of the basic parameters for breaking In pits.
Nauch.
trudy Moak. inst. radioelek.iI Vor. elektromekh.
no.OtI19-127 162.
(MIRA 17rl)

RZHEVSKI`Y~ Vladimir Vasillyevichp prof.., doktor tekhn.
nauk;
~=,Jli, Gewiadiy Antonovich; IMONOSOV, Gerelld
Georgiyevich;
NOVIK, Gotfrid Yanovich
[Technology and overall mechanization of coal, ore# arA
rock
products strip mining) Tekhnologlia i kompleksnaia
mekhaniza-
taiia otkrytol dobyehi uglia, rud i nerudnyklt
iskopsen7kh,
Moskva Mosk. in-t radioelektroniki i gornoi
elektromakhaniki.
NO*3* tPreparation of rocks for miningj Pod otovka
gornykh po-
:3d k vyemke. Pt.le(Technological processeel
Tokhnologicheakic
protsessy. 1963. 112 p. (MIRA 17:9)

BAkHTIN? G,V,, insh.
Flov sheet for automatically maintaining gaa mixtarev in
eintoring machines. Met. i gornorud. prom. no.W8-0 N-D 162.
(MIRA 1718)
t. !
I.

-- - XE ~' ', L-t
3 K ili-i -1 -Ai---- -- ---- -
I . A. ,Prod 1u;IS of tile L;ta:ii.,kr-,Ui-.:Moa of "an-4s of'
lo-ur-ec~iulon
,I-on3tn-,ctIon orbaaizatiom,)" Trudy hazwmV.) 1,1-ta im.
Kyuu~,wwva, Issue 8) 1)43, V). 163-32.
SOt U-3736, 21 Mqy ~;3, (Letopis ILAurnal ln~--kh Statcy, No.
i~";, 1)4)).

Avelan')
BADITIN, Is
Organisation of working capital in construction. Fin. 68SR
19 no.9:14-18 8 138. (MIRA 11#10)
(Construction Industry-finanae)

- BAKHTIN, I. A .
Now technology of producing canned chicken.
Hias.ind. SSSR 25
no.6t29-30 '54. (mm 8:1)
1. Glaynyy inshener Rossoahanskogo
ptiteskoubinata.
(poultry)

BA IN, Ivm Alsksandravich; GORIZONTOVAI Te.A., spatered.;
ITANOTA. X.X..
red.; SCKM4TA, leAs, tekhn, red,
(Butchering and proassainc poultz71 Ubol i obmbotkiA
ptitsy, Moskva$
Pishohopromisdat, 1958, 40 p. (KIRA 11:17)
(Pbultry plants)

,BAaML)(, Ivan AleksDAMT-44L IMIRA, R.G., red.;
VMADZSUU, P.G..
tekha.red,
[Poultry plant] Fabrika ptichlego miasa. Voronezh,
Toroneshakoe
Wxhnoo isd-vo, 1960. 46 P. (MMA 1411)
1. Diroktor Rossonhanskoy ptiteefabriki (for Bakhtin).
(Rossoshl--Poultry plants)

8i)r\iiTtN' ).A.
SUBJZCT UOSR/ATATHEMATIM/IntograL equati-Ina Pun 1/3 P(I - i
AUTHOR BACATIN I.A.v JXASN03VlSK.,J M..4.
TITLE To the problem on th6 longituMnal flazuro of a boam of
variable,
flexural. rigidit7o
PZRIODICLL Dokl:dY kkode Nauk LL~~,L 01-624 (1955)
rovi wad 7/4956
The author uses the method of the non-linear functional xnalfai.6
i,)r the in~-
weatigation of the longitudinal flexure of a thin belam of variat~le
flexural
rigidity wh4ch in fastexod by a hinges Oi~e an4 of the beLs ovii
ibart In tho
horizontal plans. The corresponding 4ifferentI.Al oquatior. be
011 P f (M)y .1 2
ds2 do
with the boundary conditions
(2) Y(O) - YM - 0
(P is the dhargo. f(s) the flexural rigLetvy, e the length of the
curv94
beam, y the oorresponding deviation from the equilibrium position).
By
ZZ . _%f(s) the solution of thle equetior, enn be re4uced to the
lutoraitnattoa
do2

Doklady 1kad. Na6uk IUL 621-624 (195)' GARD ?/5
of ~Okre) of the integral eqLutJL~i,
and the determination of Y"G) of
k
y(G) A f~v'
lf~8.1 lilt y1j), wterA
t)
I
(Gk" ut d t
J
0
60-r) for 7
t( i--G) f,'~x sks.
~
The operator B to co Sidered or, the. :3yrvre Tc~O (C the space
of the Nnotiors
being continuous on f0P1 ) )04' tadlua 1/2o It Is nomplets on T
atd differentihit-le
according to ftochet, wPare lis Yre,:-htit"19 JerIvAtive in the
raro point of
tbe*epace is the operator D%P(S) it thart
,B [ t f (0)] i~ t4 f (a) (o) (04C (a),
thon there exists ar, oe. autch tjw% B
LPI(B)* f2(8))f
The charge P0is called critical 1i 1,,%r &rbit-rury EJ~,O there
existv a

Doklady kkad. Nauk 621-624 (1955) CARD PO -- 166
solution of (1)-(2) being different from zero, which satisfies
the inequation
I Y(s)j< E if at the same timelp-Pj 4S . The critical forces of
the con-
sidered problem agree with the eigenvaluee Pk of the boundary
value problem
A . P 3(s)y Y(O) -.Y(1) - o.
de2
The investigation of the quqation, WhIen (1)-(2) admits small
solutions, yields
the theorems For critical charges Pk the equation f(s) - FB fs)
has no small solutions being different from zero. To every Pk
there corresponds
an interval A k 'NtPk'+bk2) such that for P "k the equation f(s)
- PB f(a)
has solutions being different from.zero, which'for P --)-Pk. tend
to zero
together with their second derivatives. The prwfs of the theorems
and lemmas
are sketched.
INSTITUTIONt Public University Voronei.

Ai
'OFT.
no- 1
AUTHORS BAKHTIN, I.A. ./42
TITLEt On a Class of Equations 'With Positive operators (Ob odnom
klasae uravneniy a polozhitallnymi operatorami)
PERIODICALs Doklady Akad.Nauk SSSR, - 1957,vol-117,Nrl,PP-13-16
(USSR)
ADSTRACTs The author Gives a new definition of the concave
operators
and shows that various well-known theorems which are set up
for more special equations remain valid for equations with
these operators.
Lot K and Kit KCKi be two cones in the real Banach space E.
The sign < is assumed to denote the semiorder generated by Kit
i.e.$ X ~Yo if y - xr&K Let K be the intersection of K
with the sphere #If 1/ 4 It A assunel that (jxjj 4 11 yll 9 if
0 x 4 y . The operator A defined on K,, in general non-linear,
is~~enoted positive, if AXr CK, and is noted monotonous, if
from f 00'?I - ?2 E KI) from

T I
> t Y 2 ( t > 0 1 \91 ~ tT2) it follows A-f, - t Af2 "> 8 uo(S >
0)

Theoremi The operator A (A 0 - 9) is assumed to be completely

continuous and Ki uo~ - concave. Then the following holdsi
t

I* The eigenvec
ors of A form a continuous branch in K
of the

r
length r (the boundary r of an arbitrary domain in E is

aecumed
to lie in the sphere 11xil \< r and the zero 9 is

assumed to lie
on r1 as a continuous branch such a oetit of

eigenvectors is
denoted that for an arbitrary domain it is

,)Y. A r ~ o -

2o The
corresponding eigen values fill completely an interval.

3* To
each eigen value,\ there correaponde in K only one non-

vanishing solution (A) of
the equation A%f . r

4- From A 1 ,O. Operators A with these properties are called concave.
The
concave operator A is called fIC,uol-coneave if for x,y C-K,
where
x > P0 0 y >' ?~uo ( r >O), Y-x EKI, it holds that from txz6y
(tx ~ y, t> 0) there follows Ay-tAX )Wsu 0, where S > 0.
Theoremi Let A be concave and completely coatinuous, lot f.
A-f
have a unique, not vanishing solution %P# in X. Then the
Card 1/5 successive approximations Tn+1 I~ k%fn converge to y
* with

On the Theory of Equations With Concave Operators
BOV/20-123-1-3/56
respect to the norm for all %006K, V rou 0.
Theorems Lot the functions K(B,t,u) and (s't'u) -.1 x(s't'u)
U
continuous in u and positive for u >0 have the following
propertiesi a) K(e,tto)so' K(8,t,U) monotonsly inoreasing for
increasing u, 0 4u.4ool b) for Ojfiu, 4U2 it holdst
inf [(P(B,t,U 1 )- 4)(8, tPuA>01 .0) for u-+O, u-*Aw
a 4 9, t 4 b
there exist uniform limit values of 0(a,t,u) with respect
to s,tj for u--0,0 a positive bounded function is obtained,
for u -+oo either a positive bounded function or zero ii
obtained.
b
Lot ly- f K [6, t, f (t)Idt + f (a) . Lot the equation ~0 -k%P,
a
where f(s) is a non-negative function, have a positive solution
,P* (a) -
Then the sequence b
Card 2/3 Yn,1(8) f K 18't I Y n (t) 3 dt + f (a)
a

On the Theory of Equations With Concave Operators
SOV/20-123-1-3/96
converges uniform 1y to f*(s) for every non-negative function
110(a), tfo(s)*O.
Two further theorems contain refinements of these assertions
for som, I fK,,uol -concave
0;,;Peoial oases (t.g. for specie
operat
There are 8 Soviet references.
ASSOCIATIONiVoroneshakiy gosudarstvannyy universilet (Voronezh
State University)
PRISINTM June 9, 1950, by P.S.Alsksandrov, Academician
SUBMITTEDs M&Y 10, 1958
Card 3/3

AUTHORo SOV/20-126-1.1,62
TITLEt On Non-Linoar Equations With Concave and Uniformly
Concave
Operators (0 nelineynykh uravneniyakh a vognutymi i ravno-
merno vognutymi operatorami)
PERIODICiLt Doklady Akademii nauk SSSR,1959OV'ol 126tNr 1,
pp 9 - 12 (USSR)
ABSTRACTs In the theory of non-linear equations with concave
operators
in Banach spaces with one or two cones developed by M.A*
Krasnosel'skiy, L.A. Ladyzhenskiy and the author I Ref 3-7 7
the complete continuity of the operators is assumed. In thi
present paper it is shown that this theory can be extended to
certain classes of equations for which the occurring concave
operators are not completely continuous, Instead of this cer-
tain assumptions of algebraic character are introduced so that
the proof of the existence theorems is based on algebraic con-
siderations, In this way among others some well-known results
on completely continuous concave operators are newly proved.
Six theorems are given. The author thanks his teacher M.A.
Krasnosellskiy for advices. Re mentions M.G. Kreyn.
Card 1/2

On Non-Linear Equations With Concave and Uniformly
SOV120-126-1-1162
Concave Opera.tors.
There are 7 Soviet refereicee.
ASSOCIATIONi Voronexhakiy goeudaretvannyy pedagogicheakiy
institut
(Voronezh State Pedagogical Institute'
PRESENTEDi January 16, 19590 by P.S. Alek-sandrov,
Academician
SUBMITTEDs January 13s 1959
Card 2/2

-DAEKHT, -- - -- - - - - - -- - -
One class of nonlinear inteEral equations. Trudy Sem.
"0 funksanal.
no*3/4.:M-130 Ut MU 10-10)
(Integral equations)

S/199/61/002/003/001/005
B1120203
AUTHORSt Bakhtin, 1, k.,Krasnoselfskiy, M. A*
TITLEt Method of successive approximations in the theory of
equations with concave operators
PERIODICALt Sibirakiy matematicheakiy zhurnal, v. 2, no, 3# 1961,
313 - 330
TEXTs The authors communicated the most important results of
this study
in &n earlier paper (Reft It K teorii uravneniy a vognutymi
operatorami.
Doklady Ak. nauk SSSR, 123, no. 1, (1958) 17 - 20) without
giving a proof.
The subject of the study are equations with operators
transforming non-
negative functions into non-negative functions, The authors
consider a
real Banach space E in which two cones, K and K,1 are
distinguished
where KC K11b The relation x< y means that y - x is contained in
Kis The
cone K is regular if any monotonic and bounded sequence
xn(xl ~x2 < On < 41' 2.) converges wi th respect to i ts norm* By
Card 1/4

S/199/61/002/003/001/005
Method of successive approximations B112[B203
X < v0t V0> , the authors designate the set of all xEKp for
which v 04, x 4" w 0
holds* A continuous operator A is monotonic on a set TCEO if
the inequality
AxO) the
relation
A(tt x)> tAx, AtX ~ tAx (0 (I
+-q)tkx. The authors
prove the following theoremei (1) If an operator A monotonic on
K transforms the set K 0 positive
function &(r)
exists so, that A(x + Y) > kx + rA(I y1j)z 0 (x, x + yCK , y,(K)t where
Card 2/4

S/199/61/002/003/001/005
Method of successive approximations B112/B203
z is a certain element in K differing from the zero element.
(2) If the
c8nditions of theorem I are fulfilled, and if there is only
one fixed
point x*, then the latter is the limit element of the
successive
approximations x. a Ax n-1 (n - 1p 2, ... whatever element x
0 is the
initial element of this approximation, If the equation x - Ax
with
the concave operator A on the cone X has a unique solution x*
differing
from the zero solution, and if one of the three conditions
(a, b, c) of
theorem I is fulfilled, then the sequence x. 0 Ax n 1
converges with
respoot to its norm, whatever point x-C-K is the initial
point of the
0
approximation. (4) If the equation x . Ax with the u -concave
operator A
in the cone X has a solution x* differing from the ze?o
solution, then
the sequence x - Axn EK with respect to its uo-norm,
n _, converges for all xo
toward x* (the u0-norm of x is the smallest number 9 for
which the
inequality - ?UoO) differing
from zero
AW "V t0kv + E0 U0(Eo a t0(v, w, t0)> 0) follows from
t0Y-:!~w