SCIENTIFIC ABSTRACT KRIVOSHCHEKOV, G. V. - KRIVOSHEIN, L. YE.
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CIA-RDP86-00513R000826610006-2
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RIF
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S
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100
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December 31, 1967
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SCIENTIFIC ABSTRACT
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The Siberian Institute of Radiophyaics and Electronics 30-10-16126
6) Focusing by static magnetic fields is used for achieving
a well collimated electron ray.
7) Gonetruotion of an experimental generator with electronic
tuning in the decimeter range.
8) Determination of the mechanism of the cathod of distillation
with thermoeleotronic emission. The experts succeeded in
designing cathode which show a current density of 2a/cM2
at a cathode temperature of no more than 9000C.
AVAILABLE: Library of Congress.
Card 2/2
(. IRIVOSHCHICKOV, G.V.
Zfect of surface migration in the production of ouperhIgh vacuum*
Izv.Sib.otd.AN SSSR no.9:164-165 160. (MIU 13:U )
1. Institut radtofisiki I. alektroniki Sibirskogo otdeleuiya.AN SSSR-
(Vacuum)
1,191IV HCHEKOV'q G.V,
Qualitative criteria for selecting a vacuum diffusion pump
I fluid. Izv. Sib. otd. AN SSSR no. lltl35-136 160. (MIRA 14%1)
1, Institut radiofiziki i elektroniki Sibirskogo otdoleniya
AN SSSR.
(vacuum pumps)
L 3.1126 - E~lAtk)/il.,.q(1)/j,-3D/L'1)3/T-2/,rd~/EEC, %( b) -2/E,':"k t) -2 ASDAnrcl
.,4 1 t A D C A F (11 (11
D 'A FI-1 PI-4/Fo-h JH (ri/0288/63/00' G/001/0117/011f~
ACCERST01111
'Ai'3000270
AUTHM; KolomniKoyp Yu. D.; Krivoshchakov, G.--V.1 Troitakiy, Yu. V.;
Chebotayev, V. P.
TITLE: Some characteristice of'& gas-.dlec~arge laserl~
SOURCE: AN SSSR. Sibirsk. otd. Izv.p no. 2. Ser. td1kh. nauk, no* 1,
1963~ 117-n8
ABSTRAM A conventional heliwrf-neon gas-diBeharge laser has been-built and
teste 'd. The device uses molybdenum-glass or pyrox tubes 90 cm long and 1.6
to 1.9 cm in inner diameter and mirrors coated with 15 alterratingy layers of
magnesium fluoride and zinc sulfide. One or the mirror* Is fixed, while the
other ran be moved Irl micrometer screws around two mutually perpendicular axe3.
A 50-w rf discharge vas used to pump the laser. Oscillation was observed
at 1-Z3 11; a weaker oscillation was observed atL162 ji. The lacer was tested
all. various pressures and gas ratios. It was round that addition of a srall
amount of argon decreased -the power output. In addition to an He-Ne nixture,
Card 1/2
L-11126-63
AMMIM NR-. AP30W270-
pure ne on vw lased at preamures'frcm 7 x 10's to 4 x 10-9 rm at the 1.153-g
,mvelength vith a power output 20-30 timea lea* tbAn that produced by the ML-.-
tur:~. "The authorn expreas their than to colleagues of tht ls;borstory takIng
part in the vork: M. F, ji*)-*shtajI0 V. V. Peshetaikov, and 1. F. Bumatov.
The "uthora also a-n-'d-'V--A-.--rA-%ar-'a-yj r-4,rticI p=,E~'s 11- :Ij~.the
manvu-acture of the Inteife--r-'e-n-c-e-m-i-rrora. Orig. art.--fia-z: .2 figures.
ASSOCIATION9 Institut radiaMiki I, elektroniki Sibirskogo Qtdelenlya AN SSSRS
Novonibirok (InStitUte of Radiophysics and Electronics Siberian Department,
All S&SIR)
stwawm! 16Nav62 DATE ACQi - Wtm63 M, L: 00
SUB.CCM: PH, 3D NO REP SOV: 00i O=: 002
kes/tw
Card 2/2
TI TLE Invegtigatloo of conditions for obcaining the aeconal m&rnqui,;:
c xci tou by Stal
a laser in "02POt, cry
AN USSR. Sibirskoye ordeleniye. I z v C q t I Seriya EckhnL-
n a u k no. 2, 1964, 120-121
F z c c on 1 a rr-wo n t c n n n II n p r t q c e
e n f p
w .1
(I r
ID m m th i
;i r, m pa 9 u r e 'a Y i; D
c ri r i n C a t ion o f t h e p a - i -R
t h,- s e r
Card 1
i re I ative to the crystal axis On. the second harmonic outr,-Jt
,,jq al, It was deterntned that I,- is, vhe,.i tha
ob tained.
1 ~j r ay is an ,)rdini rv rav wt t'-, ,i tn i -~ti ;, t c I & z i -n
2 f iguras and 2 formulas
Inatitut radiofitiki i elektronilli ardelenlyn
N o v n s j b i r- s k T n a t t t u t e o f R a d t-p 1-1 t; I c irir L s
S S
a n r IN 9 S F
ATD
~3 TR L R a G 2
N 0 RE 7 S 0 V 001,
Card
. . . . . . . . . .
_t ri
('(-;I! L I G- 0 tA
apt"icall viser in the Ed 11 H),
Ser. tel:11. vittill.: roj.,~:
I t I t',! t 17U -3, 1 of i 7, 1 kI I el k n
t de- r. I
IL 2h65-66 bWT(1)/~J,1T(m)/ETC/aF(n'/ -1/31G
ACCESSION NR: AP5021081 'jP(c) DS/jD /0288/65/000/002/0147/Cl5l
AT 537.533.621.032.21
AUTHOR; K.rivoahchekov,,_._q,, V.; Shirokov, Ye. G.
TITLE: Field emission from a disk cathode
SOURCE: AN SSSR. SibLrskoye otdeteniye. IzvestLya. Seriya tekhni-9
cheskikh nauk, no. 2, 1965, 147-151
TOPIC TAGS: field emission, t.U1ngAA_q disk cathode, cathode emission
ABSTRACT: The cathode had a disk-shaped edge with a large emission
surface in comparison with a point, the emission edge being examined
with a BS-242 electron microscope. A description is given of the
instruments used to study the field emission current and the emission
pattern of the tungsten edge. The results showed that under con-
tinuous and pulsed conditions, the current from the cold edge was
50 mamp (v, - 13 kv). and 2 amp (v - 20 kv) , respectively. Volt-ampere
characteristics for two values of edge curvature radii, and curves
,of current distribution along the edge under various anode voltages$
indicated that emission was stable under small voltages, while higher
Card 1/2-
L
i
.ACCESSION NRt AP5021081
Yoltages resulted in a local increase of current. Thin won dtir to
the spread of the curvature radius in various sections of the edge
.and to the different work function of crystal faces on the edge. To
obtain substantial field emission currents, a suggestion was made to
minimize the spread in curvature radius and to prepare the edge from
Orig. art. has: 5 figures. IWC)
ASSOCIATION: ~nstitut f iziki, poluprovodnikov Sibirskogo otdeleniya
AN SSSR, Novosibirsk (Institute of Semiconductor Physics,Siberian
'Branch, AN SSSR)
SUBMITTEDt 120ct64 ENCLt 00 SUB COM EC
NO REF SM 003
OTHERs 001 ATD PRESSi~Z/,O(,
Card-
KRIVCGHCHEKOV,
Autoolectrunio emission from a dts~-31iaped tung,3ten withode.
Izv. SO AN SSSR no.6, Ser. tekh. rAuk no.2tl47-151 165,
(MIRA 18til)
lo Institut fiziki poluprovodnikov Sibirskogo otdalantya AN
SSSRI Novosibirsk.
L 02955.,,67 -------
Arc-RM-AP6032930 SOURCE CODE: UR/0288/66/000/002/0155/0156
AU711OR: Krivg,64r
Dotsenko, V. 1. AajWYj_G. V~.; !~~rln, Yu. M ; Marennikov, S. I. Savvinykh, G. A.;
ORG: Institute of Semiconductor Physics, Siberian Department AN SSSR, Novosibirsk
(Institut fizikipoluproyodnikov Sibirskogo otdelenlya AN 55SH)
;TITIE: A method of laser frequency conversion
SOURCE: AN SSSR. Sibirskoye otdeleniye. Seriya tekhnicheskikh nauk, no. 2, 1966,
155-156
OPIC TAGS: laser, ruby laser, laser output frequency, laser frequency variation,
ABSTRACT: A method is described for converting the output frequency of a laser by
using the Raman lines of the beam in benzene and its subsequent mixing in an ADP
cr-
ystal. The arrangement consists of a Q-switched ruby laser (the output beam of
which is passed through a vessel 'with benzene), the mixing crystal, a filter of
aqueous s8lution of CUSO4 (for suppression of the main frequency of the laser at
X = 69h3 A), and a PGS-2 spectrograph With photographic recording. The Intensity of
Raman lines (A = 641s, 71,59, and 8059 A) is sufficient to effect a nonlinear interac-
tion of a;l frequencies within the 2-mm thick mixing crystal. The emissions at 3471
and 3729 A can be considered second harmonics or the results of the mixing of
corresponding frequencies, while those at 3596 and 3814 9 are the results of mixing
'8.
ACC NRi AP603-29jJO
cii ly .Tne intensity of these line-, can be explained by a large diverge-nce of the
focused beam, which insures that the conditions of synohrLtiism are fulfilled for all
frequencies. The experiments show that by employing Raman scattering in various
substiffices with subsequent nonlinear transformation in an ADP-type crystal, a cohere
output beam can be obtained at any frequency within the optical range. Orig. art.
h tis :2 figures and 2 tables.
SUB CODE: 20/ SUBM DATE: 23Feb65/ ORIG REF: 005/ OMI RJEF: 003/ ATD PRESS: 5099
Cord
ACC NR- AP7004641# SOURCE CODE: UR/0288/66/000/003/0118/0124
AUTHOR: Kirin, Yu. M.; Krivoshchekov, G. V.; Marennikov, S. I.; Savvinykh..G. A.
ORG: Institute of Semiconductor Physics, Siberian Department,AN SSSR, Novosibirsk
(Institut fiziki ~oluprovodnikov Sibirskogo, otdeleniya AN SSSR)
TITLE: Influence of the linear electro-optic effect on second-harmonic generation
in ADP crystals
SOURCE: AN SSSR. Sibirskoye otdeleniye. Izvestiya. Seriya tekhnicheskikh nauk,
no. 3, 1966, 118-124
TOPIC TAGS: ADP crystal, second harmonic~generation, nonlinear optics,-ft*WOL
eigov*, electrooptic effect / anod
ABSTRACT: Theoretical and experimental investigations were made of the variation
A~o affecting the phase-matching angle *, for second harmonic generation
.(SHG) in an ADP crystal whose optical characteristics are modified by an
applied electric field. It was found that only the component E. of the
field along the optical axis has an appreciable effect on the angle *0.
This effect is at its maximum when the plane of the laser beam in the
crystal and the optical axis is at 45* to the transverse crystal axes.
i in radians.
Then, A*, - 54.04 (10-6) Ez, where Ez is in Kv/cm and A+, a
From this it follows that a field of 100 Kv/cm causes an 181 variation
_C rd_ 1/2
ACC NR& AP7004644
of *0, which can be measured easily since harmonic generation is
appreciable only in the immediate vicinity of *,. The beam generaeor
was.a 12 x 120 mm ruby laser, which operated in 500-700-14sec single
pulses. Oscillograms of the SHG are given. Numerical results for field.
values of 45 and 90 kv/cm are in satisfactory agreement with the theory.1
The authors suggest that the described effect can be used for making
accurate measurements of nonlinear constants of materials and accurate
adjustments of the index-matching angle in the case of.displacement and
parametric amplification of optical frequencies. The authoro thank
V. N. Ishchanko, N. D. Lizunov-, and B. V.. Anikeyev for their hplp_in
carrying out the work. Orig. art. has: *~ figures'and 20'formulas. IJM)
SUB CODE: 20/ SUBM DATE: none/ ATD PRESS: 5115
LHIVOSHCHaOv' z0, 1 0, -
I---- Xechanised Itrtwell, Most. ugl. 7 no, 7:13 JI '58. (MIRA 11:8)
(Coal mining machinery)
-IRIVOSHCLLMW, Te.Ya., gorny7 insh.
Pillar mining systems with underhand stopine, b7 strips In the Artemovsk
deposit. Ugol' 35 n0-8:49-50 Ag 160. (MIRA 13:9)
1. Shakhta No.6-6bis treata Artemugoll.
(Karitime Territory--Coal mines and mining)
KRIVOSHCHEKOV, Te.Ta. gorrqy inzh.
0
Practice of using the chamber and pillar system to work the
Artem coal deposit. Ugoll 38 no.6sl8-20 Je 163. (KML 16A)
(Uglovoye Basine-Coal mines and mining)
u
:-:r-.Ilnv,!&'y gornvy Ivn.-i v;, r -i ncv
2 Na ul iin i, 5
t';;- dl~i -1!-. y a
.rl
k
krgo r r n,,
KRIVOSHC113KOVA, N. 1.
z
Axlnlto and datolite In the Ypastern Pamirs. Dokl.Al Th4sh.
SSR 2 no.4:15-18 159. (MIRA 13:4)
1. Tadshlkskly gasudarstyanW universitet. Prodstavleno
akademikom AN Tadshikokoy SSR B.N.Tusupovoy.
(Pamirs--Axinite) (Pamirs-Datolite)
MIVOSHMEW~A,_~j.q MW~W, A.Fh.
Brief characterizabon of accessory minerals in granitoids of the
KarategIn Range. Trudy Inst.geol.AN Tadzh,SSR 6t123-136 162.
(MIRA 1625)
(Karategin Range-Mineralogy)
SHANSHURIN, A.A. KRIVWH(;HF-XGVA, O.Ye.
L==
Now acceptor for the preparstlon of enters of jorrwArtonir
acid. Zhur.VKHO 10 no.5094 165* (MINk ).8: !a)
1. betitut khimii AN Moldavakoy S."Ift.
o.ye.; IM 7
'AfAr'I'M A~A.- f',RIVOSHCHEKOVAY - .
c ~ H IN I I I -I
Sy-r,tj,c..).,,3 of (Illilkyloarbalkoxy pliosphfjtl~'-3- Zhur. cb. kb.'-m. I [j)
A (PIP-A
35 no.lc.;1877-18"18 0 165.
1. Institut khjr~.j AN Yol.,-lavrkoy SSR.
/%IRTV*'%~I!Y:HEY~;'IA.. 0. Ye.; STINUMSIM711, A.A.
Eiterification of high-molecular anIds with
eatpr3. nmr. 7FIRY 10 no, 6z7OI 165 O"!r":
1. Tn!jtIttitkbtniI. MMoIdnvako.TS."* ;",). Irl('5.
L 36493-66 EVIT(m)/M ',P (j RM
ACC NRs AP6027086 SOURCE CODE: UR/OC)79/65/035/010/1877/1878
AUTHOR: Shamshurin, A. A.; Krivoshchekova, 0. Ye.; Krimer, M. Z.
ORG: Institute of-Chemistry, AN MoldSSR jInstitut khimii AN MoldSSR)
TITIE: Synthesis of dialkylearbalkoxyDhoanhatesi
SOURCE: Zhumal oba6hv khimii, ve 359 no. 10, 1965p 1877-1878*
TOPIC TAGS: chemical synthesisp phosphate, potaiaium compound, carbonate, estert
solubility,.organic solvent, chemical stability,, hydrolysis
ABSTRACT: . To synthesize d'ialkylear'balkoxyphosphates; the .authors
.used various potae~lum monoalkylearbonates as one copponent and
'-dialkylohlorophoop4ates as the other component in aotordance with
~.~he equation I
flocoort + GI(O)P(OR')j -0 110C(O)OP(o)(On'),
The 15 esters obtained-were colorless liquids with a faint odor,
:J4paringly soluble in water and soluble In ether, alcohol, benzene,
'Vd other organic solvents. They are unstable at room temperature
Hydrolysis results In the formation of dialkyl
_Jpd stable at OOC.
~Vhosphateq alcoholo and carbon dioxide@ The yield ot dialkyl-
A-,oarbethoxyphosphates was 60%e The phyaloooheMloill properties of
the products are presented. Orig. art. has: 1 table. 1JPRS: 36,3281
SUBCODJE: 0,7 / SUB14DATE: 14Dec64 / ORIGREF: 007
UDC: 546.185:
KRIVOSHEIN, A.D., inzh.
-, -- - ---I -,- ~ , "
Soaking pits in roughing mills of the Soviet Union. Stall 24 no.61
553-558 Je 164. (MIRA 1719)
1. GoBudarstvannyy soyiunyy institut po proyiktirovaniyu
agregatov staleliteynogo i prokatnogo proizvodstva dlya chernoy
metallurgil,
KRIVOSHNIN, A.N., Jnzh.;RZMICWKO, Ye.D., inxh.
Uaing the open-out method In constructlng OubwaY tunnels@ Transp,
strol. 9 no.11320-23 N 139 WBA 13:3)
(Moscow-SubwaYs)
KRIVO5Hi;II;, A.N.,inzh.; UZUICHCUKO, Ye.D.,inzh.; YAKOL35011, I.H.,inzh.
Precast reinforced concrete linings in the runway tunnels of
the Moscow subway. Shakht. Stroi. 4 no-3:19-23 Mr 160.
(MIRA 13:11)
(Moscow--Subways) (Precast concrete construction)
I',-
BZZNI 0, Te.D., insh.; KRW(~S~~A-H-. insh.
PO_W"~
Constructing shallow tunnels without opening street@. Tranap. strol.
le no.9:18-21 S 160. (MIU 13:9)
(Moscow--Tunneling)
KRIVOSHEIN2 B.L-.; KHODANOWC11, I.Ye.
Effect of condensate on tho efliciency of a gas pipalino.
Trudy VKIIGAZ no.13-,93-1103 161. (MIRA 1402)
(Gas., Natural-Pipelinos)
KRIVOSHETV, B.L.; KHOIDA11OVICH, I.Ye.
11
'Dotermining th-~ lntogr,-3 thr-:Atle offert, of natural gas. Gas*
prra. 8 no.It.7-51 163 (MIRA 17:7)
KBODANOVICH I.Ye.; KRIVOSHEIN, B.L.; GULYAYEV, A.I.; NIZIYENKO, I.G.;
Clf~'RNO BYL WIT 0 V.-A. -
Results of factory tests of an expansion-chamber condensate
tank with automatic cleaning. Gaz. delo no.6/7t65-68 163.
(MIRA 17M)
1. Vaesoyuznyy nauchno-lealedovatellskiy inatitut prirodnogo
gaza, Krasnodarskoye upravleniye magistrallnykh gazoprovodov
i Gosudaretyennyy proizvodstvennyy komitet po gazovoy
promyatilennooti SFSR.
KRrVOS11EIN, B.L.; GALIULLII;j Z.T.
Taking into consideration phase transformations in determining
the throttle affect of gas mixtures, Gaz, prom. 9 no.3:13-16 164.
(MIRA .17:9)
GAI-YLIAN, 1'.T.; KRIV0,9111,"Irl, B.L.
Nonadiabatic flow of a real pur3 In a p1j.,,AJr,,?, zhur.
no.1).:47-54 11 164. (,MIRA 18:2)
1. Institiit prfr dicigo gaza, Moakva.
KHODANOVICH, I.Ye.; BORISOV, S.N.; GALIULLINO Z.T.; KRIVOSHEINO B.L.
Detemining the location of a gae-gathering point on the
field on the basis of 3dniml capital investment. Trady
VIJIIGAZ no.21/29slO-13 164. (HIRA 17 s 9)
KRIVOSHEINI B.L.1 MODANOVICH, I.Ye.
Determining the Interval throttle effect of natural gas.
Trudy VNIIGAZ no.21/29:14-22 164.
D ing.:tbe, fOr ~,Twtptance of
air. "t ='MM'tpYypp"e Wgg4s 67~ndensate collector
*-7
SHALIMOV, B.V.I_ _PIV~I~Mp B.L.
Joule-Thompson effect of 'a multicomponent mixture. Trudy
VNIIGAZ no.21/29t23-31 164. (MIRA 17t9)
KHODANOVICH, I.Ye.; GALIULLIN, Z.T.; KRIVOSHEIN, B.L.
Flow of real gas in pipes with porous walls. Trudy VNIIGAZ
no.21/29s32-37 164,
flondsothermic flow of a real gas In a gas pipeline with a
varying heat-transfer coefficient. Ibid.08-42 (MBA 17:9)
KHODANOVICHY I.Ye.; ZAREMBO, K.S.; SHALIMOV, B.V.; KRIVOSHEIN, B.L.
based
the
on
Calculation of the temperature change in a gas
length of the pipeline# Trudy VNIIGAZ no.21/29:43-48 164.
(MM 17:9)
, 1,
KHODANOVICH, I.Ye.; NEnWVA, N.V.; KRIVOSHEIN, B.L.
Effect of the hydraulic resistances of pipeline stopelocks on
the flow-through capacity of gas pipelines. Trudy VNIJGAZ
no.21/29t72-77 164. (XM 170)
ARDULT-AYEV, M.N.; GALPILLIN, ?,.T.; KRIV0,1DIF111, B.L.; YWJ)A,'1C1V0-,H., T.Ye.
Analytic method l'or datemIning th-3 Incrittrinn of gns leptknge In gRa
pipelines. Izv. vy,3. ucheb. zav., noft' I gaz. 8 no-5185-88 165.
(MIRA 13:7)
1. AzerbnydzhAnnkiy politekhnichenkly institmt i Vnosoy-uznyy nauchno-
ismIndovatellskly priradnogo gaza.
GALIULLIN, Z.T.1 KRIVOSHlIRj,,S*L.j KHODAMOVICH, 1.16.
Analytioal basis for seloctiAg the optinal version of the
network routes of gas pipelines. Gaz.prom. 10 no.2t42-45
165. (MIRA 1802)
BUSLIX, N.G., inzh.;KRIVOSHNIN, D.I., inzh.;SHTIRK, V.A., Inzh.
Special problems in assembling the VKT-100 turbine unit. Inerg.
stroi. n0-2:19-23 159 (MIRA 13:3)
1. Treat *Teploeusr&omontazh.0
I (Tarbines) (Concrete footings)
YdUVOSHEIN Dr~itriy Ivanovich; 1-411-MIK, V.P., inzh. red.; Lau
red.; I;-',IjEDEVA, L.V., tekhn. red.
[Experience in the installation of 150 14w. turbogencrators)
Iz opyta montazha turboagregatov moshchnost'lu 150 Yvt. Mo-
skva, Orgenergostroi, 1962. 36 P. (M.U 15:11)
(Electric power plants) (Turbogenerators)
; .--; ~: 11
KH IV r,,z I - -I .........A
Fo..,or block with a 4 two-nhaf t 800 Mw. tixbogenerator.
13 no,5:3-5 MY 165o (muiu, 18:8 1
AP6012987 SOURCE CODE:
AUTHOR: Krivoshein, D. I. (Chief project engineer)
ORG: KHOiii
TITIZ: Power system with two-shaft turbine and 800 Mw power capacity
SOURCE: Energetiks no- 5, 19659 3-5
TOPIC TAGS: thermoelectric power plant, power generating station, electric rotating
equipment, electric distribution equipment
A&STRACT; A description of the 800 Mw power Vatem to be installed at the,
Slavyansk3,v power station. Thormal diagrams and a cross sectional drawing
of the installation are accompanied by Vio following parameter informatAono
power, 800 Mw; oquipped with dual shaft turbine type K-800-M and dual
-boiler typo TPP-200, producing 2,500/1,700 tons/hr of steam at 255/37 atm.
563/5700 C. .1ho bollert turbine soctiod with generators. main food turbo-
pmps, elootrio supply pumps', do-aerators, fuel bunkers and other supplemen-
tary equipment wM be Installed in one building, The fuel. preparation viU
take place In a separate. building 250 motors frm the main =It@ The wdt Is
to be computer controffe-7ab' Orig. art. has:-2 figures and 1 table. [JPRS1
SUB CODE: 10 SUBK DATES none
UDCt 621-311.23
010
osheini tor Fitt"
D-9 'Tiv V 1240
28 BesbOTO&Stol R08,11to of 0. P?
luation 0
)joRs 'uation 0
LUT the va, toriyal 1959, Vol 251 tigating the in-
labors, inves t by
.0,18, , & when art ed ou
",Oasy
7
VZRIODIC" (105STO a lts obtaineitting 'was nts 9 e carrie
Of tIe To U on p )erime T C 0
at i on lubri cents The O%If 1) Vitb
AA eValu ejerojeed, by I statistics. 'nine (Re t ,,, cart
SsTRjCT I I Mao (,Let 2) - gor of
f uenoe I mathematics shaft
Means 0 ball frictions' Machine
Or f the Balls
On 86 f oiar- quid th mostst f 300 U. ing
out e6nd6 S Ii I speed 0 1,06& 0 - 5b.06 and, hav
meo hani Elm 0 0, Totationa 4,th a f the type al bod.iost
an& w ction
out at 20 9 P.M.9 steel 0 ~GOST JA49-A9
,5()0 to 3000 r, de fro" gets Us e'& ,, fri I Oil ~ &n&
j-2.1 wo) U'a& 56 I'S Diese il (Vith from
,,ter of 62 an 5 -net& Ones',AsA4 0
hardness thref,taction of of P reparations lower
-rolling on 8TO6 2~ three
softer ballnthene-p rat fin , anj j t TI, e I-requencies
the nap djitio of IAOE 2 used as lubriemn ' . to d to
and lubricant TIle
vithou t the (,let 5)) was the vere adsp
J&861 'Ton cover ed6 by, the pittings)
collo .02 letelY
balls were p the occurrence 0
oboerved6 (Up to
,Srd, j/2
r
On the I~valuation of 057h5
Pittinj. J"'7/52-25-1 0-34/63
the theoretical frequencies by means of the Gaussian law and
the criterium of agreement was determined, according to which
the straggling of test results were found to obey the normal
distribution law, which was also graphically confirmed
(Pigs a,b) by the agreement of results with those obtained by
Barwell (Ref 1) and Scott (Rof 5). The diagram of the probabili-
ty distribution may be represented in form of a straight line.
According to the methods of mathematical statistics the results
obtained for different lubricants can be compared (Table 2).
The influence exercised by the additions to the fraction of the
oil of the type MS-14 upon the pitting was determined by means
of the distribution according to Styutent (Ref 4), (Table 2).
Additions of MoS 2 considerably increase resistivity to pitting,
whereas small additions of colloidal iron showed no particular
effect. Papers by V. I. Romanovskiy (Ref 4) are mentioned in
the text. There are 2 figureal 2 tables, and 5 references, 3 of
which are Soviet.
Card 2/2
AUTHORs Krivosheyn, (;. so 5/032/60/036/03/055/064
BOIO/BI17
TITLEs On the Evaluation of the Effect of the pubrioant 11 2n the Vatigue
Pitting Failure of Steel
PERIODICALt Zavodskaya laborstoriya, 1960f Vol 36, Nr 3, PP 375-377 (USSR)
TEXT: The modified friction Aachine suggested by V. F. Pavloy (Ref 1) makes it
possible to perform a relatively simple study of the effect of lubricants on the
pittings formed in consequence of fatigue on friction balls. Work with this
model machine differs somewhat from work with the usual-type friction machines
by the fact that there.are very high contact potentials, a special recording
apparatus, and that a considerable spread of measured values has always to be 6
considered. These problems are discussed in the present case. Because of the
high contact pressure in the friction unit, the casing must be made of steel of
the type ShKh (hardness Be - 60-62), and must be kept in a thermostat. The end
of the test is established by means of a special sound-measuring device since
the formation of pittings changes the acoustic frequency of the friction unit.
.g device is given (Fig 2) which shown that an
A diagram of this sound-seasurin
acoustic sonde of the typs.AL:411e installed in very close proximity to the
friction unit. The acoustic frequency is transformed into an electric frequency
Card 1/2
On the Evaluation of the Stfoot of tho Lubricant 0/032/60/036/03/053/064
on the fatigue Pitting failure of Steel BOIO/BI17
2~9
applying a device of
is connected on the
frequency (obtained
how to calculate the
of the spread of the
P w 390 kg). There are
Soviet.
the type UPU-2. To the latter, a cathode-ray oscillograph
projection screen of which th 11 change in acoustic
by the occurrence of pittings) can be observed. in exasple
correction factor (Table) which must be introduced because
measured values is given for a diesel oil (n - 1500 rpm,
2 figures, I tablep and 7 references, 3 of which are
Card 2/2
46 54 7
.1
S/081/62/000/006/081/117
jo67/B101
AUTHORS: Bezborod1ko, M. D., Krivoshein, G. S.
TITLE: Effect of lubricating matorialc and their additives on the
incidence of pitting
FEhIODICAL: Referativnyy zhurnal. Xhimiya, no. 6, 1962, 539, abstract
6!4249 (Sb. "Prisadki k maslam i toplivam". U.,
Gostoptokhizdat, 1961, 278-283)
T3XT: The anti-pitting properties of oils have been evaluated on a
4-sphere friction machine, in which the lower spheres were free(under
rocking condition4, by noting the time PT required, at constant 'load until
pitting appeared on the track of the upper sphere. The spheres were 12.7mm,
in diameter, and wore made oftLX-6 (ShKh-6) steel. The hardness of the
lower and upper spheres was 62 and 56 Ro, respectively. The speed of the
upper sphere was usually 1500 rpm, the load on the upper spheres was 390
and 300 kg, arid the oil tomporntura wAa '20 knd 800C. With oils frao from
additives (oil M -14 (MS-14)) PT decreased with an increase in temperature
from 20 to 1500C, whereas in the presence of additives (oilhT-16 (W-16)
Card 1/2 , x
S/oe 6~,/Ouo/006/081/117
Effect of lubricating materials and ... B167YB101
and lubricant Tsiatim-208) PT remained constant between 20 and BO'C. The
retardation of pitting by lubricants is shown to depend on the viscosity
of the oils,on their chemical composition, anu on the presence of
additives. The PT values for various oils and their fractions are given
below (oil type, temperature, load in kg, and PT in min arQ listed):
tractor transmission (without additive), 800C, 390, 93; sulphurized tractor
transmission, 80 0Ct 390j 238; IIIS-14, 800C, 390, ;9; LIS-14, 200C, 300, 89;
naphthene-paraffin fraction of MS-14, 200C, 300, 41; aromatic fraction
of IIIS-14, 200C, 300, 130; Diesol fuel, 200CY 3009 13. Addition of an
anti-oxidant to synthetic oil lowored ito FT 4-5-fold. Addition of i!. Of
L'o S2with a particle size ~20 for 951,4 of the particlou increased the FT
of mineral oil by a factor of 2-3. The superior anti-pitting properties
of mineral oils containins MoS 2 were chocked by operating trials in actual
transmission systems. [Abstracter's note: Complete translation.]
Card 2/2
XRIVOSHEINJ,-G.S.; BFZBORODIKO,, M.D.
Antipitting properties of oils, Khim.i tekh.topl.i masel 6 no.6:
47-51 Je 161. (MIU 1437)
(Lubrication and lubricants)
BEZBCRODIKO, M.D.; VINCGRADOV, LYAS GO-LIN'
(IAang Kuo-lin]; PCE)OLISKIY,, Yu.Ya.
Investigating wear-preventing properties of lubricants under
rolling-friction conditiorj)& Trensi isnamashe no.15;420--431 162,
011IRA 15:4)
(Lubrication and lubricants-Testing)
EEZBOROD 2KOP M.D.; KRIVOSHEIN, G.S..
hNastigating the pitting on a fouz-ball teetinf Machias Tren. i
isn.mah. no,1633-23 262. imiRk 15-4)
(Hoohanical wem-Teating)
KRIVOSHEINY G.S.; BEZBORODfROt M.D.
Evaluating the effect of lubricants on the development of pitting.
Zav.lab. 28 no.305W)-358 162. (MIRA 15t")
(Lubrication and lubricants-Testing)
(Corrosion and anticorrosivea)
JUMOSHEIN, Igor' Aleksandrovich; CIORVON111KIS, Ya.M... red.
-~
f1founehold electric heating appliances and equipment]
Bytovye elektronagrovatelfriye pribory i ustanovki. No-
akvap Izd-vo M-va komman.khoz.RSF.13R, 1963. 182 p.
(MIRA 17:7)
MANGERON, D.; IJ(iVOSHEIN,_jLE.
New rivithods of numerical c-1-tan'.1on for Uie 6,11,itions !~f
varioun Integrodifferentlil sys-~ems. Pt.l. haii iime appl
Roum 9 na.6t1195-1221 164.
1. Polytechnic Institute, IFisi ~for Mvingdlron). 2. k)fildt,my
(if ScJances of the Kirghiz S.S.R. (for KrIvoshatri). -.
1. KnVoumb, L._ N.,, SEMENOVA, M. A.
2. VWR (600)
4. Forests and Forestry
7. Material and documents on the history of forestry in Russia. Lee i step' 4,
no. 10, 1952.
9. Monthly List of Russian Accessions, Library of Congress, Janwu7p .1953. Unclassified.
/-Y
v
KRIVOSHEIN L Phys-Math 5--1 --(diss) "Approximate
Solution ot c;rytae?nC/Pw'rodblems for.-tinear ikegral-Dif f erential
Equations." [Tashkent] 1958, 20%(Central Asian btate Univ
im V.I. Lenin),190 cotles-~(KL, -58, 119)
L'i
N 88893
5/044/60/000/007/050/058
C111/C222
AUTHORt Krivoehein, L.Ye.
TITLE: On an approximate method for the solution of ordinary
linear integro-differential equations
PERIODICALt Referativnyy zhurnal. Matematika, no-7, 1960, 222.
Abstract no.8292. In sba Materialy 8-y Nauchn.konferentaii
professorsko-prepodovat.sootava Fiz.-matem.fak. (Kirg.un-t).
Frunze 1959, 35-38
TEXTt The author describes a method (which is based on the method of
the neighboring differential operator) for the construction of the
approximate solution of the integro-differential equation
LL.vl- f(x)+*Xj blox, t)P[Yjdt M
a
which satisfies the Initial conditions
Y(')(,;) - r in (i-0,1,*.,,n-1), m (2)
where L I-] M y(n)(X)+ 7- ai(X)Y ( -')(X); P[y]3Ybi(t)y"- M; n~-M;
V J 1 0
Card 1/2
88893
S/044/60/000/007/050/058
On an approximate method... C111/C222
c6 [a,b]are known functions continuous for all x,t 6(a,b-3.
A formula for the estimation of the error is given. It Is pointed out
that the problem (l)-(2) can be solved in an analogous manner for
integru-differential equations of the type of Volterra, and that the
described method for an approximate solution of such an equation can
be transferred in the same manner to the solution of the Cauchy problem
for a system of linear integro-differential equations.
[Abstracter's note: The above text is a full translation of the original
Soviet abstract.]
Card 2/2
.PITOSHEIN, L.Ts,
One method for solving some linear integro-differential equations.
Isy. vys. ucheb. say.; mat. no. 3s168-172 160. (MIRA 13t12)
1. lirgizakiy gosudaretvennyy universitat.
(Differential equations. Linear)
S1044/62/000/002/o62/092
C11I/C222
~.UTL*410i(s: Manzhuron, D. , IIjIvo,,hqInL L. Yo.
TIABi The api)roxinate solution of come linear inteL;ro-difreren-
tiL,l ecoutions
iwri~rutivn~.; zhurnal, Matenatika, no. 2, 1962, -4,0,
4b~;Lract 2V213. ("Bul. Inst. politehn. Iasi", 1960,
no. 1-2, 17-28) 1
TEXT: to the Galerkin method, the Cauchy problem
YW (x )-Y G) (i - 0, n-1) x E[a,bD (1)
0 0 0
for tile ill cruntic-1 equation of the Fredholm type
b vi
L tx) + -A ~ T K itx,t) Y(i)(t) dt (2)
a 0 n
is solved apP2-OXiLIUtely. Here L [ YY(n)(x) ai(x)y (n-0 W,
n ~% m, parameter. The solution is ijought in the form
Card 1/3
V044/62/000/002/062/052
The approximate solution of oome ... C111/C222
k
Yk(x) = VX) + ba 'Ps W
where the n-timuc differentiable functions Y(x) and I' (x) linearly
independent ~trid satisfy the conditions p) (X y (i)(x 0
0 0 8 0
0, 1, ..., n-1; a - 1,...,k). The unknown coofficicnts b
k) of the approximating function y k(x) are deterwinud tlirou(;h a
system of equations, which is obtained in one of the following wayst
a) froLi the condition that the deviation is orthogonal to an arbi-
trar~, syL;tem of k lineurli independent functions; b) from the condi-
tion that the square integral of the deviation is a minimun; c) with
the collocation nothod; d) from the condition that the deviation hus
a contact of firzt order with the x-axiu. In all eases, the deviation
of tho approximate solution from the rigorouu solution of (1) - (2) is.'
e3ti;:u,ted for all x C [a, b], )AI ze, Ic I (aDsumind that certain in-
equalities Lre fulfilled).
Card 2/3
3/044/62/000,/002/o62/092
Tiiu ;OILItion of' -!oMO .4. C111/C222
A,,,.,.ru.,ii.~i-'O.~ ol' problem (1) ure con:;tructed in ,.n analoCouu
U'L -6ro-o.ifftarc-ntial equations of the Volterra typiu, whure an
UAI,.I~Ltc i., The wuthod iu --I~;o adplied to the intejral
(-,~)U-tLion whiu'ii corruo,.,undo to (1)-(2); t'Lie error ii; eotinated. The
method of inteCral equations is used to solve (1)-(2) in the case
ra > n, where it iti assumed that the functions ai(x), f(x) and the
rncls X (x, s) are differentiable as is necessary.
!Abotrz~cterls note: Complete translation.1
Card 3/3
,
0
111 C
go
rent
OILS L)699 a I hrl.
.U 16- olite
or -Inat. P
t i -4 n I
t 5.1182.
troc naarl
10. D-jCjj,' tbE~ '21-30) tne bOU
no. 5.41 006, tnat
t i. ,resxl 10 d.)3
uL~ (c)
I
(t) at
j_() b t) I
Z_
500 06re Lr are
bQ1
r
ca-rd,
()05/041/012
/,A4 2/OoO/
r C444
All
lie.
_~j
0
3/044/62/000/005/041/072
T'ne approximative solution of boundiiry C111/C444 ct to X
Continuous for n ':~_bm and p - n-m-times differentiable with respe
on Ca,b] for ta'5 n-, X is u parameter; Ic,d'3 '-- [a,bl possesses a solution-
The solution iu searched with the rate
k
Yk 0 (X) + w.
-i;here the %,ell-known linear independent functiunti lfo(x)s fl W I 1 4 k(x)
tirfa n-tiuci continuously differentiable, satisfying tile boundar.., con-
ditiuns R j E, Jo ] - ~ j -, Ri DO - 0 0 - 1, - - - n; s-10 ... k). The unknown
coefficient.,; -re detenaincd uccording to mmethods of G,,lcrkin, b., the
lc-,-Bt &(ju_.j,c uj-.,u2.- &nd b~ colloc"tion; the deviatior, or the function
from the ex~,ct volution of (1), (2) is estim"ted. AnaloCously one
solv,:; the boundar,. value problep,(1), for,the Volterra integgro-differen-
tia! er,UL~tion
m "Z
W
K (~)dt (4)
L[y f(x) + Or, P'. y,
0 1-0
C~.rd 2/3
5/044#2/000/005/041/072
The -wlution uf b,)undrry --- Cill/C444
w he r e
n
I -I --- (n) a ('-')(x), x a, d]
L Lyj (X) + Ox) Y
Thk: jiver, approxim,stiun ixthodu are not only applied inmediately
probliumu (1), (2) ~.nd (1)i (4), but aIL;o on espoclully
called solving integrul oquationo (-hp wc,11 in tho cu:3e
ci,uu of m ~- n) .
L."bstracter'3 notet Complete tranalation.]
on the
coni4tructnl sc,,-
of n -?-m as in the
Card 3/3
BYKOT, Takov Vasillyevich; 1RITOSHRIN,_iAb,., red.; ANOXHINA, M.G.,
takhn.red.
[Som methods for deriving solutions of integral and Integro-
differential equations] 0 nekotorykh metodakh postroaniis
reshenii integralInykh i intogro-differentsiallnykh uravnenii.
Frunze, Izd-vo KirgigBkoi SSR. 1961. 107 p. (MIRA 14:3)
(Integral equations)
S/044/62/000/005/020/072
C1111/C333
Krivushvin, L. Yo.
TITLEt on tht! solution of a problem for integro-differential.
e t ions
PERIQDlc.~Ls Ruforativnyy zhurnal, Mate-atika, nw. 5, 1962, 77,
abotract 5B340- k"Issled. po integro-diff,~rents. uravneni-
~,am v Kirgizii.11 vyp. 1. Frunse, All Kirg ~SR, 1961,
177-169)
TZXT% The t4uthor deocribqs a method for constructing the solution
of the inteCro-differtntial oqudtiep
b m
L(Y) - f(x) + Y(~)(t) dt, (1)
a 1-0
which satisfieB tht~ polylooal-integral boundary conditions
n-1 T
y] ~~ "7 ) 4.
. 7 / ack y(i)(XR T 5 (t')P [y(t)] dt - d
R
,j- i.-0 k.1 ij a 1 (2)
curd 1/4 0 - 1##.#, n)
3/044/62/000/005/020/072
On the solution of a problem tor C111/C333
whwre L z~nd P are linear differontial operators of order n and kp a'~
ij
and I~L are fixed numbers and x.LC- La,b] =- 1. The solution of (1) with
the arrangement
n
W(X) - 7- Cizi(x) + T(x, t) t) d t (3)
is sought for n > m, k, where c 1 Cnare certain constants;
ZI(X),.649 Zn (x) ia an arbitrary fixed system of n-times differentiable
functions, the Vronski determinant of vililch is not equal to zero on I;
TI(x,t) is ar arbitrar,, fixed function Ath the property
0 for i-0,1v .... n-2
u(x) / 0 for x ~- I for i - n-1
0,
is tho new unkno%n function. After substitutine in (1) one
2/4
3/04Y62/000/005/020/072
On the solution of u problem for ... C111 C335
o1)t,.in:j zLn intuj,,vul uquation
n b
(x) = f i (x) + cil i (X,A ) + A M(X,t)'r (t) dt (4)
where fit Ji, 1,1 are known functions. Assuminf; that A is not a characteris-
tic number of the kernel 1.101t)j one finds in (4) the explicit expression
'ror kp(x) and after substituting this expression in (3) obtains
n
y(x) - F(x,~ c h (X,N (5)
i i
BZ~ sub:~titutin~-,, (5) in (2) one obtains a linear 1116ebritic system in
a If this a-atom ia; not ningularg then o are uniquely
n - .0 It ... 0 en
deteraiined i;nd the problem (1), (2) has u*unirlue solution. The case
whLn this s~stqm ii~ sin6ular is also examined. The author then examinen
tlh,~ cz,.ae whero~ is the characteristic number of the kornel M(x,t).
Card 3/4
U0Tj'GT0UnJj 9-4RjdtUOo f0-101,
OT 0 = (n)rl VOTI-rba jo mw4gl~ jT?;IJ~=T?pUnj -2 flUTUT'~.Ilj~,-,) SO
i3y4l a ;ni?-,),jq 02potIlwa jc)qlO 01 UOIT-IndmOD UT
IiT paqTj~)uap (L) f'UIAIOG JOJ
jm3Tr pajinTsvioo oru cilu (z f3i lu < m nu;
104 .3,-)Tqord v TO IIOTlnlo,- atil u0
Z L010? 0/~ 001'010/79/~ ~0/s
Q
V
S/044/62/000/005/021/072
CM/C333
AUTHOM Krivoshoin, L.Yes
TITL',',t On R general moChod for solving systems of linear integro-
differential equationa
PERIODICAL3 Referativnyy zhurnal, Matematika, no- 5, 1962,77,
abstract 4B349- ("Issled. po integro-differents. uravne-
niyam v Kirgizif% No. 1. Frunze, AN KirgSSR9 1961, 191-199)
TEXT: The solution of the Cauchy problem
U(c) - Uo (1)
for the systems of integro-differential equations
du . A(X)U+ x b EK(X,t)u(t)+g(x,t ) A_Uill dt, (2)
TX I dt
a 1.
. A(x)u+,\ u t'
7x- A-'-
du x [ K(X, t)u( t)+I((X, t) t dt (3)
j d t
is Bought with the set-up
Card 112
S/04 62/000/005/021/072
C I I I YC333
On a general method,for...
x
u(x) - Z(x)b+j H(Xot)y(t)dt, (4)
where Z*(x) and H(x,t) are arbitrary fixed continuous nx n - matrices;
Z(x) is differentiable; det Z(x)/O; det H(x,x)/O for xC-[:a,bjj Z(c)b U
After substituting (4) in (2) one obtains the integral equation
b -
)"(x) - F(x,,\ )+ f N(x,t) If (t)dt. (5)
a
If X is not a characteristic number of the kernel N(x,t), then one
determines Y (x) from Mt substitutes it in (4) and obtains the
solution of (1), (2), The case where A is a characteristic number is
considered. If c-a, then the problem (1)1 (3) has a unique solution.
This solution is also sought in the form (4), whereby a Volterra
inte,,-ral equation results for tho determination of 4/(x). If c/a, then
one obtains a Fredholm integral equation for the determination of 'W
To determine the explicit expressions for the*solutions of problems
(2) and (1), (3), one must construct the resolvento of several kernels.
Finally, the author gives a method to construct approximati,ve solutions.
'Abstracter's notot Complete translation.-]
Card 2/2
KRIVOSHEIN, L. Ye.
Approximative Solution Methods of Some Classes of Integral-differential
Equations p. 23
THANSAM 14"', :'it ~Plv ?ND Q~~TUWACAN'
J
pa,F!,~-s, pibllviw-,~ ilhv
KRIVOSHEIII, Leonid Yovgonlyovich; DYKOV, Ya.V., otv. red.; AI.OKHIIIA,
M,G,, takhn, red,
(Approximate methods for solving ordinary linoar intogrodif-
ferential. equations)Priblizhenrge matody resheniia obyknoven-
nykh lineirWkh integro-differentsiallnykh uravnenii. Frunze.,
Akad. nauk Kirgizskoi SSR, 1962. 183 p. (MIRA 15:9)
(Integrodifferential equations)
qp'?~ 0/002/001/005
0 2/ 0
I/C444
in 9 .-10. 0-fty Pr 0,03.90 f Or
0 Gau
U 061
0 0 or tions to q'tj1&&1
t-no
tial
jkrzttanl 00jutio n of iffor
A, 'UTAOIISI on ttko of into 0-
& 131181
.01.0695 U 0 a III Ia SS.Ve 0 probl"
-4705h"9 62 3-12 Oner6lioe
jOD-jC f'L no. 2f 19 t'he
b d6t
i
CL
%0
b
0 b
U06tion
Oki
for tA +
1. o
ca rd.
3/140/62/000/002/001/005
C111/C444
On the solution of the generalioad
n
7 & -) Y (n-i)(x). one supPOsOB that either
where LEYI~ Y
K (x 0 t) 0 in a 4 t x, x 4 t -- b, j - 0'1 .... , m, or
K t) nZ I E i(x, t) 0 1 a "s t
0, x t no m *~_- k or n ~,~ m, k-n a !?!. 1, where A is either
eigenvaluo of the kernel of the determination equation or not at all.
In all cases the determination equations, the form of the solutionp
and the systems for the determination of the oonstanto o i are given
separately.
The authors mention A. I. Nekrasov.-Tho most important English-languag,~
reference reads as followst I., D. Tamarkine. on Fredholms integral
equations, whose kernels are analytic in-a paramobor..Ann. Math., 28,
2, 1927.
ASSOCIATIONs Srednenziatakiy goeudarutvennyy univervitetl Kirgizakiy
gouudaratvannyy univor itet.(Oontral Avian State Universityl
Kirginian State Univor:ity)
SUBMITTEDs May 15, 1959
Card 3/3
45132
S1166j621000100610011016
WOD Bl12/BI86
AUTHORS: Arzhanykhj 1. Set 1~!i!os 4~~nv kL Y~e
TITLE: Solution of Cauchy's problem for linear integro-differential
equations
PERIODICAL; Akademiya nauk Uzbikskoy SSR. Izvestiya. Seriya fisiko-
matematicheskikh naukt no. 6, 1962# 7-16
TEXT: The problem
yNxt) A"; v 0, 1, a - 1, xs [a, bl)
A 1Y) f W +1 KI (X, t) y(A1-,(Q d4 (2)
0
L jyj my")(x
) + a,(x) Y H Ko(x. 1)#0, (1-0. 16.4.'M
Card,1/4
S/166/62/000/006/001/016
Solution of Cauchy's problem for ... Bl12/BI86
is transformed into the equation
fF W Mj(x, t),t(t)dt-F(x. 1)+X M3 (x., t) (t ) dt, (6)
or
P W F, (x, X) + XMa (x, t) v (t) dt,
by means of a substitution
n
y (x) e, z, (x) + H (x. i) p (1) dl.
1
jr*
wherein H is a given function of the Cauchy type Eq. (Wis solved by,
A function of the form
Card 2/4
3/166/62/000/006/001/0i6
Solution of Cauchy's problem for Bi12/BI86
b
'f(z) pi(xo) + A (R(x,t, A)FI(t, A )dt.
R(xpt#A) denotes the resolvent of the kernel V (xot). The particular
case
a 4 1 r); is mos p:~: (n, r, m); 0-VP' r > (-ssls P); Is xv M > ("S rj,.O);
and others.* Li this article authors choose th3
Card 213
L 19376-63
ACCESSION NR: AP3005416 A
case u t---=-b,'n ---. (m, p, r) which Is of special interest to applied science and give
the calculation for the propos6d problem. - Authors also state that a similar method
may be. applied to tha determination of approximate solutions for the cases of
rn 7~- (n. p, r); p;,, (n. rp m)'and r > (m, n, p). Orig., art. has: 30 formulas.
ASSOCIATION: Iasi Institute of Polytichnics, Rumanian Pe0Rle'q e1wjQc (M%n-
geron, D.); National Frunze Universi~y, Kiigiz kaya SSR (Krivoshein, L. Yej-
SUBMITTED: 30Nov6l
SUB CODE: MM.
DATE A CO.: 26Aug63
NO REF SOV: 004
ENCL: 00
OTHER: 007
Card 3/3
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