FR:SHERMAN D.I. TO:KREYA M.G.

• Document Type: CREST
• Collection: Consolidated Translations
• Document Number (FOIA) /ESDN (CREST): CIA-RDP91-00929R000200920013-5
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 94
• Document Creation Date: December 29, 2016
• Sequence Number: 13
• Publication Date: December 31, 1983
• Content Type: ABSTRACTS

The Stresses in a Fbndwable Meam Forming an
Infinite ntlf-PlAm Weakened t7 Tvo Ciradar
ftleal by D. It Shwom,
imm, per, Mmtepktika- i Mft"
Vol 3.5v 1951v pp 297-316.
ELL M 3M9
fElt'--l'~-
Sai,.I,A'ch
NOV 67
3459289

62-34408
Chetaev, N. G.
ON THE CHOICE OF THE PARAMETERS OF STABLE 1. Chewev, N. G.
MECHANICAL SYSTEMS (0 Vybore Parametrov II. UPCTGfrR-12
Ustoichivoi Mckhanicheskoi Sistemy) (r. by William G. 111. Pittsburgh U. School of
Vogt. 7 Feb 62, 4p. I ref. Control Theory Group Tcch- Engincering, Pa.
nical rept. no. 12.
Order from Dept. of Electrical Engineering, U. of
Pittsburgh, Pittsburgh 13, Pa.
Trans. of
1~51, v. 15, p. 371-372.
DESCRIFrORSi *Equation of motion, Differential equa-
tions, Stability, 'Mechanics, Control, Perturbation
theory.
(Mathematics, 77, v. 9, no. 7) Ofte D1 TedWexi ServIces

/Lfg

A,xisymmtric I:Iastic/Pla3tic Problem for Platep
Weakened by a Circular (mt. by K. 14. Shevchonko
RISSIM, per, Prikladn;Lya lHatematika i Nakhual'--,
Vol 150 1951" pp 519-520.
*AEC LB/G/2482
hL 4 R, 'il' ~- i 2 ~ , '/ /:r (' z a ;L
~ici/'V:aterials
Nov 66

Streases In a Planep Ponderable Medium With Two
Uniform, Symetrically Placed Aftz Circular
Holeap by Do 1, Shermsup 13 pp.
RMSIAN., perp PrIk Natemat i Nekht Vol XVO No 6p
1951j. pp 751-761.
3"
r
Sci, Hu Llb Tr 55A325
sclentific - physice Sep 55 CZ

Scam Genmaal M&,hodo of Solving Problem in
Irke Themoy 6-t0 PUaticity, by 1. A. Birger,
8 P,
rwasX-AH) parp FrWAd Hat i Xabb.. 1951, Vol XV,
pp 765--770.
ATG-T7L35R
sci
Apr 6o J/-:? -,~* 7f
Vol TIT ~ NO p- 7

Prikladnaya Materatika j Mekhanika /Xpplied Mathematics
and Yjechanics7 Volume Xv., No 6 (Nov7Dec 1951)3 pages
771-2. FDD copy.
,,App-roximate Integration of Differential Equationz3 with
Lagging Argument"
U
author: L, E* Ellsgollts (Moscow)
1164o ST-256 SR 26 mar 52

Barenblatt, 0.1.
SOME IRREGULAR MOTIONS OF A LIQUID AND A .
GAS IN A POROUS MEDIUM. 17 p. 4 refs. NITWL: 627.
Order from OTS or ETC $1.89 61-17229
1
Trans. of Prikladnaya Matematika i Mekhanika (USSR)
1952, v. 16, no. 1, p. 67-78.
DESCRIPTORS: *Porous materials, Fluid flow, Gas
flow, *Aerodynamics, *Hydrodynamics, Ilieory.
61-17229
1. Baienblatt, G. 1.
11. MTWL-627
111. Stichting Moellijk
Tondnkelijke Wetenschap-
Ili ~ Literatutir
Offi-F T.6.ic.l S-1-.

'fae Impnet on a L=im With Discontinuous
v fel by - M. I. Gurav'lch.. 61 p.
17 P7. "'A-I'l , IMP U^1 ".-IFT
131A 59-15414
inn 60
VOI 2~ NO 5 g

61-211199
A.-AFAWAY FLOVI PAST A PLATH SUBJECTED TO 1. rldid flow-fliyflcl fa ror
I ,C:1,. 1195il 6p. 4refs. 2.
-r fCOTA PIS ,5.00 1115 5-2104 dw,,racteris tics
.
0
Gureilch, M. 1.
Trans. cf PrikInOna)-a 1 11, RIS S-2104
1932, v. 16, ro. 1. p. 116-118. M. Re.~.eirch Inlonnation
Serylce, New York
olli- .1 T-W-1 S-tc.%
Y. 5, no. 11)

59-14913
CAVITATION PROBLEMS: TRANSLATION OF THREE 1. RPI Math Trans-3
RUSSIAN PAPERS, tr. by Gerta Cohen and Hirsh 11. Rensselaer Polytechnic
Cohen. 3 Apr 59 [281p. 15 refs. RPI Math Trans. Inst., Troy. N. Y.
no. 3.
Order from OTS or Sbk $2.60 59-14913

Trans. of L
.Prikladnaya Ma-tem w1ka (USSR)
-
1167
1952
16
22
4
1
B
1958
tc
, v.
no.
, no.
.-Y,,
,
, p.
,
I; ~
'- -
M
- ri
p. 565.-568; 19
Doklady,
56.,
v. III
~2 ~2-
C~ach article is availabl e.
DESCRIPTORS: *Cavitation, Fluid flow. Sheers,
Hydrodynamics, Impact shock, Subsonic flow,
Mathematical analysis.
Contents:
Ile impact on a lamina with discontinuous streamline
flow, by X4. 1. Gurevich
(Mechanics- -Hydrodynamics, TT, v. 7, no. 12Xover)

Stmaes and Stratus to Cycliml tcadingj by
U Yu. ff. ltabotwv.,- MWA&W,
RMSIM, per# Prik YAtewt 1 X04 Vol vi, NO I't
1952.4 pp 121-129' -- -
sci yn m-ft -wo, C,41223n-
scumbif ic - -RWffM=b&os
/4,ee,N/ I e 60 / 3
e
ll 01

On Probl= of a Subwreed ;et, by Yu. B. Rumrs
Full translation.
R=IMv b1m p-Tv Prilt %terat; I Iftkhv VGJ. Xnj
USMO, 1952p pp 255-2-R#
ABC Tr 1632
r
Scientific - matmMUCS
Aua 53 CM
~OOPO? e1

On the Applicability of the Method of Variables
to Problems of Small Plastic-21jetle Deformationqt
by V. H. PaftferOV
RUSSIAN. Prik YAt i Mek,, 19520~Vol XVIj, No 3,0
-OP
D.S.I.R. Tr No CTS 2
3cientific - MathmtIcs
-Ust No 490 Apr 1953 107.1

I-Ihoovot~cvl Appivach to the Detc-r&Giatior. of
.1-Iddcd h.;= of a Rectangular Plate, by X. No
per, Ftlk ikit i blon, Vol XVIP 1951C..'
pp 352-' .15;2,,
A.R.E. Fort, Ealstead 7 OT/491

62-10146
Malkin, L G.
ON A PROBLEM IN THE STABILITY THEORY OF 1. Title: Ly*pumov method
AWOMATIC REGULATINO SYMM& [1961][9]p. 1. Malkin, 1. G.
3 rsfe.
Order from OTS or SLA $1. 10 62-10146
Tram. of Prikla aysiMatumatika I Mekhanika
(USSR) 1952, v. 16, p. 365-368.
Another trans, Is available from OTS $1. 10 its
AD-264 067._JLkly 61. 9P.
DESCRIPMRS, *Control system, OUnear systems,
Functions, Theory, Differontial equations, integral
equations, Perturbatim thwy,
Ibis paper Is coucarned with the problem propooed
by Afterman in roWd to the stabillty of a lot ot non-
linear differential equations. Conditions for stability
are hypothesized by making a linear analogy to the
original non-linear system. The validity of these Office .1 T.Choic.1 S-1...
(NIathematics, 'I-r, v. 7, no. 9) (over)

Analytical-Theory of Ron-Linenr Byatems or
Ordinary Differential Boustions, by N. P. Brugin
RMSM, per, Prik Mat i Hekh, Vol m. lio 4.
1952y pp 465-4cI6.'-"-'A`~"-
Co-op Tr Sch 36
SAI'r~I.A TOW
CTS/DEX Price

61-15210
Malkin. 1. C.
7NE STABILITY OF AUTOMATIC REGULATION 1. Control systems--
SYST13MS (Ustoichivost' Slatem Avtomaticheekoto Stability
Regullrovaniya). Nov 60 181p. I ref. RTS 1698. 2. Control systenw-
Order from LCorSLA mi$I.S(X ph$1.80 0-15210 Mathematical analysis
1. Malldn. L Q
Trans' of!PrqigMWAYLAULCMU&AIMCkbNdMDSSR) H, R7S'1698
1952, 11, t6, no. 4, p. 495-499. Ill. Deparunent of Scientific
&ad ln&wtrW Research,
The stability problem of the system of type (dxs/dt) (0t. Brit.
p,lxl +... + panxn +Fs(xl.. ---Xn). where a - 1.
2,. . .. a, I a cons Idered. For given conditions of
N~xl. - - - - xn) these functions satisfy. In the region
1xsj 4 A. the Inequalities IFS(xl, - - - -XnA" (11XII
+ - - - +Ixnl I where Q Is a positive constant. The max-
imum values of this constant are found for which the
equilibrium is asymptotically stable In the Lyspunov
sense for any Ps function that satlaffem the above con-
ditions, and the permissible range of Initial deviationt
are determined. A theorem In which theme quantities 000" of Ted".61
are assessed Is given: It Is expressed directly In
(Mathematics, Tr, Y. 5. no. 8) (over)

The Calculation of Symetrically Loaded Toroidal
Sholls With the Ald of'Trigonometric Serliag
RUSSUN, per,, Prik Iftt i Mekh, V*I XVI,. No- 5#, ~952.,
pp 569-574.
Sci Mw Lib 53/1421
5/-/) 1-~- J~
Scientific - mathemidtics
CTS/DZX

calculation a vortex-p"e now over Prorile
Lattices and the Comtructiork of Lattices on the
Basis of a Given Velocity Metribution at the
Profiles,p by L. F. Dm-fmn,, 18 pp.
MSIAN* pers PzU VAtem
t-I.Makhs Val XVIj. 1952m
p.p 599 -&2.
r4 L L Qt~- rj:~ z?
1A.C.S.I.L. Tr 1328
Sai - Wth & Ditta Process 0544) 18A
sep 63

A Study of Th2orien of FrEcture Under Combined
Strcerjo!j)' by 1, Cornet., R. C,, Grasai; 7.hysical
Significance of Invariants of Strese Used in the
TheoxT of Plasticity, Yx by V. V. Rovoz-hilov,
45 PP-
.' peej prik Natemal- i MAL,, Vol XV" 1952
RU03510
pp 6!7-619.~
AFT T" PP-671?
isci - Phyv
SOP 58

Stability of the Solution of a Certain Ron-linear
Third Order Equiationg by E. A. Barbsehin.
IF
RUSSIAN, bimo -Erik Mtemat i Mqkh,. Vol M,
No 5P 1952, pp 299-6332.
Co-op Tr Sch 57
USSR
Scientific - Vathemtics
Feb 54 MS
6 d. ~ ~~ 0 0/1,

TT-64-14269
Beilln, E. A. and Dzhanelidze, G. Yu.
A SURVEY OF WRrI'INGS ON THE DYNAMIC 1. Bellin. E. A.
STABILITY OF ELASTIC BODIES (Obzor Rabot po 11. Dzhaneltdze, G. Yu.
Dinamicheekol Ustoichivosti Uprugikh Sistem). [19631
44p 41refs
Order from OTS, SLA, or ETC $4.60 TT-64-14269
Trans. of Prikladnaya Matennatike i Mekhanika, (USSR)
1952, v. 16 [no. 510. 635-648. (Abstract available)
Another trans. is available frorn OTS $3.60 as
AD-269 945, 15 Nov 61, 32p.
DESCRIPTORS: *Elasticity, *Solids, Dynamics,
Stability, Load distribution, Motion, Mathematical
analysis, Partial differential equations, Theory,
Reviews, Mechanics.
A survey of work published in the USSR on he problem
..a the pri,
of dynamic stability of elastic systems dul od
1924-1951 is presented. T'he paper to divided into three .1 T-W-l 5-0-
(Mechanics. Tr, v. 11, no. 7) (over)

Strengtb of a Rapidly Rotating e2 Cylinder: by
M. Sh. 11 pp.
RWSV.'Nj per, prjk.'~Mat-A-Mckh
pp 706-710. ' ---',-- - ' , Vol XVI, 1952p
CIA/FDD X-4034
Sci - 2ngr lgFc
jan 6c) /0-4 .0 X"~'g

61-22200
K;pzon, G. 1.
T'iVO-DUMEINSIONAL INTACT IN A SUGHTLY COM- 1. aln1pressible (IGNY--
IDEAL FLUD. 7p. 6 rels. l:;-,yslcal factors
Ord,,r from HIS ~5.00 RIS S-2105 2. Liquids --Viyslcal factors
1. Kcpzon, G. 1.
Tyens. of Prikirdraya "Inte-ontOm I h1cl-haiAka (U!-.fR) 11. MS S-2105
1952, 16, no. 6, p, 719-722. Ill. Rcscarch L-:1crinntlon
Service. !;_w York
L C

Cfflct of T-1,M-1 S-;...
17, V. 5, na. 11)

The Propagation of a Whirling Jet in an Infinite
,-AEum Space Filled With the Same Fluid, by
/16 L: 0. Loytoyanakiy..
RUSSIAN, per,, Prik Jkt Mekh Vol XV11,, So 1,,
1953# py 3-16. -=~~
'q Ts - ~? -~ L -P
7PA3/TiB Tr No 436$
0
Scientific - Physics Yar 55 CM

Canonical Transformations of Equations of the
11teory of Automatic Controls, by V. A. Troitskii,
14 pp.
RUSSIM, per, Prikladnaya I'late i lleklianika, Vol 17,
1953, pp 49-60.
A%kI/f6IC-Tr-96l-69
Sci/Hath
Jul 70

A Method of Solution of a General Biharmoaic
Problem for a Rectangular Region., With Given
Values of the Function and Its Normal Derivative
on the Contotir,, by G. A. Grinberg,, et al.
FMSM'I, per, Vol XVII.,
1953, PP 73-86-
OBIR LW M.1492
Sci - Phys (loan) la ff.' Y
oct 6o

Pyatnitakil, S. S.
THE WINTER OAK AND THE SUMNER OAK (Dub-
zinanyak I Dub-lemynk). (Nov 6111 1p. PL -480 Agr.
Order from OTS $0.50 60-21909
Trans. of Priroda (USSR) 1953, v. 4Z p, 97-102.
DESCRIPTORS:- ~Trees, *Forestry, *Plants, *Ecolog:
Earth. *Economics. ClirrAr1cfactore
Discussions are presented on the distrfttion and
characteristics of the two types, the origin of the two
types, and the importance of both types in forestry.
60-21909
1. PyatnitakAi, S. S.
U. PL-490 AGR (60-21909)
111. National Science
Foundation, Washington,
D. C.
(111ological Sciences- -Botany, TT, Y. 7, no. 2) Offleo of TocNmicol Smices

R,A.*,,q1Ac 14(p'-D.A,.brlM OV all 131111ntiCrl
i~mr: Illivik VAt I 'Mml-lij Wo 17., 1954A
py 107-113.
British Iroc mna $teal lmd
(no nmber given)
Say 59

Tha of a Floating Fbrm aft tho Barlaco
of a ~Icavjv Flaida by Vi, D. Ruekitd. UWIAS5'Ur*=
RUSSIA2, ~Qr, Prik MWI-mat I MOM., Vol XVII., 19TI,
lhvy 2127/2-2,33
z//7
7 / ~/

Bstimtlon of Errors in the Apprcodmte Solution
of Linear Problem., by M, G. Slobodyansldyy 23 pp.
RMSW,, bimo per. Prilaad Motamt i 149kht
Vol XVII. No 2,, Mir
MU N-37596
Scientific - Hathamtico
CM 73/Oet 1955

Integral Equations of Constrained Torsion and Stability
of Thin-walled Rods,, by V. V. Bolotin, 7 PP.
RUSSIAN,, bimo per,, Prik Mtemat i 14ekh., Vol XV11, No 2~
Mar-Apr 1953., P 24 -249.'
~5 -
loe#- 11-37217
USSR
9`7 / N1 fP INJ

61-23311
Barenblatt, G. F.
ON 7716 M07ION OF SUSPENCED PARTICLES IN A L Barenblatt. G. P.
IURBUi.ENT STREAM (0 Dvishenu Vsveshennykh If. DSIR LLU IVL2758
Chastits v Turbulentnom Potoke). 11961113p. 14 refs.
(I)SIR LLUJ M. 2758.
Order from OTS or SLA $1. 60 61-23311
Unctifted trans. of frikladnaya Matetnatjk~L)

195Y - -17-,p-76r-
V, a4.
DESCRIPTURS: *LIquld jets, Turbulence 'Part1cles,
Mution 185532
From the general equation, an equation for the horl-
7ontal motion of a non-homogeneous liquid Is obtained,
where the liquid Is homogeneous in the horizontal
(direction) and stationary. (Author) (See also 60-23010)1
(Physics, Tr, v, 6, no, 9) 1 QMCQ of T*"Cj Urotes

Shim"W, S. N.
ON THS STAINLITY OF THE SOUMON OF A
NMAMSAR EQUATION OF THE 7MRD ORDER.
L19~11 110* 4 refs.
order hom OT18 or SIA $1. 10 62-10181
Tan. of Pdkb*aya Musmadka I Makhaniks (USSR)
19U, Y. L7, w. 3, p. 369-372.
Anedw tram. Is available from 013 $1. 10 as
AD-264 174. M-TR-61-3LIO-2, Mar 61, 10p.
DESCRIFTORS: *SMUlts vehicle trajectorleo, *Non-
Dun dinerestial owwass. Function, statistical
tests., 4ftnurbstlon theory, Nonlimr syewnw.
The MWIlty Is Utweetipled of ft nutl Polution of a
system characterized by the third-ordor aml1wr
aftreatiM sq4suoit 'i + f(x, fo I + bi + cz a 0, (1)
WbIch Is equIvAIM to i a y. j s x, and i m -f(x, y)z
(lAttliematics, IT, Y. 8. no. 9) (ower)
62-IOLOL
I ShImanov, S. N.
U: STL-TR-61-31.10-2
M. Periodical:
Prikladays Matematike i
MekbAUIEQUWW
v
17
Office of T*cholcol Iftvices

Numerical Solution of a System of Differential
Equations Application of the Othod to the Calcu-
lation of a Rotation Shall& by Me Sho Mikeladze.
9 pp.
RUSSIAN,. por, Prikladn!!Za Matematika i Makhanika,
Vol 17, No 30 19530 pp 382-386. 9700439
PTD-TT-65-1439
Sci/Math
Jun 66
3020534

A. 1.4 Lyapunov's Met3wd and Problems in Stability
in Large, by h. P. Yerugin, 14 pp.
RWSM-Is per& Priklad Rate i Makh, Vol XVII, No 4,
1953t pp 389-400. 9697594
DDC ISSC-434
"JS I C -
Oci - phys
Aug 65 287,269

Stability of Control Systems with two Active
Elements, by A. M. Letov.
RUSSIAN, per, Prikladnaya. Matematika. i Mekh,
Vol 17, No 4, 1953, pp 401-410.
NAVY/APL/JIIU-T-2570
Nov 71

Gi, tim Question of the Calculation of the Ibtion of a
Cn3 in a Local Shock-free Suparconic Zonep by
L. B. Ebromb Goroshchemkop 5 pp. TJNCLASSIFM
-A-R., per., Prik ?ht i )Wekj, Vol XVII~ 1953.s
24-~2-430-
Sci Mu Lib 54/9-28 1692
~ci(.Antiflc - Physics, Mathemtics
/ 71. 7t'~~

On Propotion of Im - wItatIms In a
vAdi= with a Nonlinew Dependsom at T=slow on
j by Os I* ftunblatts 33 ppo
MWIANA ParA Mu We I mob) Vol xms IM
pp 455ja., , O-U56-
AM-=9o-Z%"(L)
Sol - MMI sci
jan 64 0~-~440 4/(,p0

Some Problems of the Lwdz*r Filtration of a Fluid
in Heterogeneous Mated Lapro of Variable Thick-
nqeop by 0..V. Golubevax 7 PD.
MSBIU per, Prik Matemat i VAkb,, Vol XvIIp.. 1953#
pr -485:4-9~.
Sci Tr Center
RT-1488
Scientific -d Mathewtics
CTS/D= LL-a

On Pre* Thermal Convection in Vertical Cylinders dr
Arbitrary Section.. by 0. A. BqMnkov 5 PPO
RUSSIAN, per-,~ 2 Drilc ftt2TMt.L&kh, Val V11,
1953) pp 496-500r-----
Scl *m Lib Ho 54/1113
scientific - Mathemt1ce
Jun 54 OW

on the Detex-miro-Umn of -~he EqWXbrimm Stateo of a
MM Circular Shell Under AxIaDy-Symetric lmdi-aLz
by N. A, AlurMe. 25 pp.
RUSSIAN., bim per., PrA Natmat i Meldi- V01 W-11j, No 5p
1953) pp 517-528. . 56, Ogd
Bei Tr center Rr-3647
Scientific - PbWoics,
jun 56/dox

63-16997
KaMCUkov, G. V. aid Lebed". A. A.
CN 5TABlUnT OF MCMON IN A FDffM TEM I - K&mubw. G. V.
WrERVAL JANDI WYMS. 1196311231p. 6 refs. ff. Lobedev, A.A.
Free copies available from Boeing Scientific Research M. BoolagTrans-11(16-17)
Labs. Library as Boeisg Trans. R 16 and R 17. When TV. Boeing SclenLiftc Research
supply is e&austed. order from 07S Labs., Seattle, Wash.
or SLA $2.60 63-t6M
Trans. of Pr Wm)
19S3. Y. 17, P_ -S40:1954, v. 18, p. 512.
DESCRIMRS: *Motim, OStabifity, Time, *Ditfere
equations. Perturbation theory, Numerical analysis.
Integrals, Real variables.
'Me solution of the problem of stability 1=10wed to an
investigation of the Integrals o( the ",ti fd%
perturbed motion of the type dx Xn,
(Mecharkice, v. to, 11o, Ofts o1 TockkA Smk#e

Zkkb, Ye. L.
EOM7.0j,"ITAL HYE,:!0DYT:AMIC VMPACT 011 A
.c::iZRL OIN A 111ILL SU, ~`A-'E- Or A UQUID.
(19-511 Isp, 7 reN.
Ordw from AIS $20.00 RISS-2
Drans. cf PrIl-ladnaya l,!atct;jt0ka I Mc%hanllat (tMit)
1953, Y~ 17, ro. 5, p. 579-592,
-;_ - T - L - -1
r4 - SC L IS, 6
no, 11)
1.
2. Llql~lds--Ilayslcal Lie:-
1 -Rlo',O. Ye. L.
ll~ RIS S-2106
1i1. R,~.s,.,.jrch in,
ice, Now Vurk
L
T.,',,!. A 5-i-,

Cavity Flow Past a Contour Performing Small,
Oscillations,, by M. 1. G=vich, X. D. MaMdud;
MMUN, per,, Prik wifts Vol xvno
!w~--
1953...Pp 599-6o3..
A/R.E. Ft Saletead
Tr no 16v oT/1027
20., TW
Scientific - Physics Doe 1954 M-S

of the 1~rof Ile of Ek aG~
Ultins Mw~~
U--,1----i--azP1 Creep Conditions,, by A. G.
UNCL
RUSSWI) per., Prik tht Makh) Vol XVII~, 1953".
pp 615 -618.
DBIR Lending Library Unit bi.40
Scl - math
Apr 59

The Behavior of Dynamic systepls
Automatic Control Having Several
Near the Boundary of a Region of
V. A. Troitskii, 14 pp.
RUSSIAN,, per, Prik Mate i Mekh.-
pp 673-684,
ARM/RSIC-Tr-968-69
and Systems of
Control Organs
Stability, by
Vol 17, 1953,
Sci/?~!ath
Jul 70

CA -22202
Blakh, Ye. L.
HORIWNTAL IMPACT 017 AN ELLIPSOID OF RO- 1.
TATION ON AN IDEAL [.11QUID HAVINC A PRrE characterlutica
SURFACE. [19(1)24,~. 6rcfa. 2. Licrulds-Phyalcal
Ordar from HIS M. 00 HIS S-2107 futora
1. M0, Ye. L.
Trans. of Prikladnaya..Matematika I Mellianik-a (USSR) 11. RIS S-2107
1953. v. 17, no. 6. p. 7a)-726. Ill. Ilt. -'lldl Information
Service, New York
Tl% v. 5. tio. IL)

Conventional Diffuoion in a Submerged Jet, by Y. B.
Rmer , 6 pp.
RMBL43, per.. Prilklad Not i Makh Vol XVIIp So 6;
Nov/bec 953, "14
BIA Tr R -.Uq (1119)
Sci - Matbanatics
Oct 57

The Determination of Large
Panel.. Resting an Flexible
to External Noz~oal Loading.,
BVIXelds 22 ppo
Deflectione of a qylln4rical
laextensible Rlbsj~-Si*&cted
by Kb. Ito Kw~ V.
RLWIMv b1m perg Prik !~~tep k 6,
jt.kjk4 j,,,,:V6I XVII, _Xo
1953s VP 755-760o
Sci Tr Center RT-3646
scientific uw4rug 3611 Ir
JIM 56/dex

On the Problem of a Streamlined Profile
in a Near-Sonic Flow, by A. F. Kryuchin.
RUSSIAN, per, Prikladanaya Matematika i
Mekhanika., Vol XVIII, 1954.
OTS TT-64-71432
Jan 67 318,668

Wave Motions of a Heavy Liquid, by M. D,
Kbaskind, 16 PP-
RMIAN, per. Prik;~Mate i Mekhaa&A, Vol XVIII,
e~ 11
1954~ pp 15-26. , --n-
CIA/nD/ Z-202
3,0 T7J
Scientific - Pl~ysics

63-15671
Feodos'ev, V. 1.
ON THE STABILITY OF A SPHERICAL SHELL, SUB- 1. Title-, Spherical shells
JECTED TO THE ACTION OF EXTERNAL HYDRO- 1. Feodoe'ey, V. 1.
STATIC PRESSURE [Neustanoviveheesyn DvIzhenle 11. DTMB Trans-266
Vyazkol Zhidosti So7.davaemoe Vrashchayushchimays Ill. rAvid Taylor Model Basin,
Diskorn) tr. by George Herrmann. Mar 56 [16~). 7 refs. Washington, D. C.
DTMB Trans -266.
Order from OTS or SLA $1.60 63-15671
Trans, of Prikladnap Matemfati);A ].' M,-lrhlardka
(USSR) l9m, v. 15 [no. 1] p. ~ib-42.
Another trans, is available from OTS or SLA $1. 10 as
62-23112. MDF P-104 119611 10p.
DESCRIPTORS: Elastic shells, Structural shells,
So=es, Stability, Pressure, *Hydroetatic pressure.
(Mechanics, 77, v. 9, no. 10) Ofte of TocWcal SarvIca

62-10185
Duvakin, A. N. and Letov, A. M.
ON THE STABILITY OF CONTROL SYSTEMS WITH 1. Title: Lyapunov functions
TWO CONTROLLERS. [19611 [111p. 4 refs. 1. Duvakin, A. N.
Order from OTS or SLA $1.60 .62-10185 H.. U-iov, A. M.
Trans. of Prikladnaya Matemafika I Mckhanika
(USSR) 1954, v. 18, p. 163-166.
Another trans. is available from OTS $1.60 as
AD-264 153, STL-TR-61-5110-17, May 61, 12p.
DESCRIPTORS: *Control systems, Linear systems,
*Differential equations, Perturbation theory, *Func-
tions, Inequalities, Stability, Theory, Time, Motion.
An analysis is presented on the control system do-
scribed by a differential equation. The problem is to
deternime the sufficient conditions for the asymptotic
stabilitv ofthe trivial solution of the control system
for any fi:wi.- initial perturbations. Details are given
on the conw i-tici ion of the Lyapunov function. Results Offict of Tv6sicol Se"ical
(Mathematictwit"T, v. 8, no. 10) (over)

63-2D238
Lzbedev. A. A.
ON 7HE PROBLEM OF STABILITY OF MOTION IN 1. Uebedev, A. A.
A FINITE TIME INTERVAL. (1963132p 6rde 11. Boeing Trans -R20
Free copies available from Boeing Scleadfic Research In. Boeing Scientific
Uibs. Library as Boeing Trans. R20. When supply Research Labs..
is exitausted, order from OTS or SI-A $3.60 Seattle. Wash.
63-20238
Trazte'of Prik'arthaya Matematika I Mekhadka (USSR)
-
P. 75-94.
19S4, V. RU
DESCRIMRS: *Perturbation theory, *Stability,
*Motion. Squations of motion. Differential equations.
Tbe method given by G. V. KamenbD Is allized to de-
fine, with respect to equations ct the first approld-
madm conditions of stability of transient motion for
finite initial, and finite, constantly acting perturWtibns (Mechanics, TT v. 10, no. 12)
In this connection a method Is given for determining
t4e time interval In which unperturbed motion Is stable, Office of 70cholcal sen1ces
(Auth.or)

Concerning the Invertibility of the Lyapmov's
Theorem of Asymptotic Stability,, by 1. G. Malkin.
13 Pe
RUSSIM, per, PrikladnUa Ratematika i Nekhanika
Vol XVIII, 19540 pp 129-138. 9700469 MZ=
RSIC-526
Sti-Math
Jul 66 3040S21

on the Anualysia of sheIIG.SjfbjeiAed to Coxxeutrat6d
'4' ad-s
by A. L. Gol'dmvt r., 13 Pv -
'~J=JAN, bi3ao per, Prik Mt 'Vol 7.11111.,
:.,10 2P 1954,
PP 9 ip
sa Tr center wv-3641,
Scientific - Pbyaics
'run 56/aex
J

Steady Motion of a Fluid Feated From Below., by
V. S. Sorokin.
RUSSIAN,, per,, Prik Mat i *kbm Vol XV111, 1954,
pp 197-2D4.
Sci Mae Llb Tr 57/0048
Sci - mysice
Jia 5 7 -'el q, a rff

Application of the Galyerkin l-.ethod to the Pmb-
lem of the SUbility of Unevmly Heated Uquids#
by E. -,. Zhukhovitskii, 15 pp.
RUSSLkla, per, PrIkI MAt i, Nekh. Vol 181 No 2,
1954, pp 203-211.
FgllUaW
AEC-is-Tr-74
Sci-Phys
,Ar 58
349,337

On Waves of looddlug and Unloading Arising From the
notion-of an Elastle or Plwtic flexible Fibre,,
by It. Crietescu, 18 pp.
KMIUI- pro Pra t"Mt 4 "amp Vol lvill~
wy1hu. 557---0. = Ir
RNA corp
9e
Aug 2.956

Bugaeako, G. A.
ON FREE CONVECTION IN AN INCLINED CYLIN-
DER (0 Svobodnol Konvektaii v Naklonnom Tallindre).
July 61 [51p. 2 refs. RTS 1884.
Order from OTS or SLA $1. 10 61-27041
Trans. of Prikladnaya Matematika I MekharLika (LISSR)
1954, v. 18. no. 2. p. 212-214.
DESCRIPTORS: *Conical bodies. Continuous media,
*Convcction, Mathematical analysis, Heat transfer.
61-27041
1. Bugaenko, G. A.
II. RTS-1884
111. Department of Scientific and
Industrial Research
(Gt. Brit.)
(Physics- -Thermodynamics, TT, v. 7, no. 2) office of T.dwlcal S~Ictl

1 62-10184
BUU&htN E. A. sad KruwaW, N. N.
ON 7M EXIMME OF LYAPUNOV FUNgnoNs 1 lItIC LYAVMW Amcdons
IN THE CASE OF ASYMVnC STAMMY IN I: ftrbds*~ H. A-
7WELARCK(MICIS 3rds. l1. Krasm~kU. N. N.
Order frm UrS or SLA ri. 60 62-10184
7~=& of Pr&UubAys MumnstBa.i MekbwdU (USSR)
1"41 V. 186 P. 30-35a
Another mms. is ay*tkblo from 075 $1.60 as AD-
AD-2% 150, SM-TR-61-5110-20, MAy 61, 12p.
D99CRWWRS! Satellit vehicle tralectmies, *FIW
palta, *Sphereo6 *St&bMty, Modw, Functious, Per-
wrbodw tboo Differential aqations, Pardal dif-
DdWitions w fftikbMty an giv which is in-
cluded a MOW datidtion at = the hme of
two rpams with dme daky. Two ftwems am
wfth dowiW prook for odudon of dim Bystems. MAC* of ischaltal $"Vice$
(madmades, rr, V. 8, r- 9) (over)

F:Otjon Of a Viscous Fluid Created by f-
Rotat--IDG Disc, by D. E. Dolidzem 10 PP&
r,T,~3rjAIj,, bimo per$
,Vol )L-Mip 1954, p
Marr is D F."'Iednau
$5,00
cTs 65/veb 55
Scieu-'afic - ptqsics
21
a :".#

Bulakh. B. M.
ON TITE 714EORY Or- CONICAL PLOWS. [196315p,
I ref.
Free copies available from Boeing Scientific Research
Labs. Library as BoeingTraos. R74. When supply is
exhausted, order from M. or SLA $1.10. 63-18316
Trans. of Prikladuaya Matematika I Mekhanike (L3SR)
1954, v. ff,_-no~-4, ~pz,
DESCRIPTORS- Gas flow. Velocity. Numerical analysis
'Conical bodies. *9upersonic flow, *Ajdally symmetric
flow,
63-18316
1. Bulakh, B. M.
11. Boeing Trarts-R74
Ill.. Boeing Scientific Research
Labs., Semle, Wash.
(Mechanic a - -Aerodynamic a, 17, v. 10, no. 8)

On Con6itious for the Existence of a Centers
by L. N. Belyustila#
RUSSIZ.. bimo Der* ft-Udad Nmt2M"NpkbP
Vol xnn) 1.954., i 50""00,"-
Morris D I priedlau Ol
Scientif Ic - Phpico CM 65/Fab 53

Problem of Bear Sonic now ftSt R Profilao by A. F.
Kriuchin,, 17 PP., (AP 653055).
RUSSIANp per, Prik Natewt L Hakht Vol XMI.. no 5#
Moscow., 1954" 5 M-510.
A
0-2.. GSUSA 0-5036
USSR
Sclentific - Aerorn*utica Aus 55

Ye. L,
CN III-Wilil- 1.
TiON 0'! '11T '~UINVACE* OF 11
LIQUID. [11"fl) if%l. 2 vlls. 2. Ltqu!.q~ -Jo) 1~ 11 N,
fmn 11,JS i~JS S-2105 1. Y,.-. L.
lijS S-210S
Trxi-l. of Rr:circh
1954, Y. 18, no. 5, P. 631-636. I~xvlcc, York
G-T, 7
T-W,A S-i-
Y. 5, n(j. 11)

Stability of Cylindrical arid Conical of
Circular Crooe Section, With Simultaneoub -~rtion
of Axial C=pression and External Normal Pre,-%nre.,
by Kh. M. Mushtari, A, V, Bacbenkav, 15 R.
RUSSIM.. er,, Prik Hatemst i Makh., Vol XVIII, No 6,
1954, pp
A
RACA TH 14 3 3
sci - phys
Vg'
VAY 58

on the Propaption of Soxind Va"s in a Vidcous
a" with seat conauctiou'p by A. A. K"Par'y8nto.y
9 pp.
RMS10j, blm pert hl)dM WtaMt i i)lkhp
Vol xvmj"19540 p
Morris D, Frio&= - /h 41
Scientific Physics CTS 67/Apr 55

Concerning Stability of One Gyroscopic System,
by I. Z. Pirogov.
RUSSIAN, per, Prikladnaya Matematika i
Mekhanika, PP 1134-1136.
I
"~*ML Ft Belvoir
T-1 109
Sci - Engr
Jun 61

Nozzle Design# by 1, 1.11, yurlyov,
...LISSINip per, 11-rik a Matox-Atika
ladnay
1955,
FIV-44W-05-584
6ci-
Sop 65

IV
On the R:Squa a in the Theory of Misticity,
on
by V. Ve 8 Idys P-1 vp.
RMSIM0 b1mo r# *rIk Hatmat I mekbj Vol
Y,U'p 1955P vp
Idb - /0529
Sci - mathematics"
jul 1956

rr-64-16022
Vonxmmkaya, L V.
ON THE MODIFICATION OF CHAPLYGIN'S METHOD L Varoumskays, E. V.
FOR DIFFERENTIAL EQUATIONS OF FLRSr ORDER.
14P 2rds
Ordw from OTS, SLA or M $1.60 Tr-64-L6022
7~rm=. Of toll$A-ym hft,~, Md"atka SSR)
IM Y. 19. m 1, p. 121-11b.
oAatbemtd=, Tr, Y. 12, no. 4) 1 0"1.. .1 T-hll..) S-k..

62-2.0253
"AbDy. V. L
QUESTIONS IN MiE 'MEORY OF LYAPUNQWS 1. Title: Lyvpunoy medw
SECOND IMMIOD: TIM CONSTRUMION OF ME 2. Title: Zubov's rnethod
GENERAL SOLLMON IN ME DOMADq OF ASYW- 1. zU1xW, V. 1,
TOUC STABILM. Aug 62 [47]p, 8 refs. 11 - Lyapunov, A. M.
Order from OTS or SLA $4.60 62-20253 Ul. Tide: constructlol, ...
Trans. of Prikladna
Matermnad
IK~
ka ~IW,16M~umunitkka (USSR)
P_~
1955, v.'19-[fi6-2T
r
p
DESCRIMRS: *Control systems, 'Stalfflity, Motion,
Equations of motim Differential equations. Real
variables, Fmcdons, Series.
'Mis paper Is the best source ter "Zubov's Mediod",
for conatrWEft% Lyapunov functions. It answers
almost all dieoredcal qLesdons concenting die concert
of asymptotic otability. (Author)
(Engineering- Elcctradc, TT, Y. 9, no. 11)

On. the Integr-ation of a System of Differential
Equationn., by M,, M. =rnov~ 6 pp.
RUSSIM I per, Prikled. Mat. i Meldhar.~ Vol XIXI
1-955) pp 217) 218.
.A,v,c/A=-436
Sci - Phys
Mar 59

method of Determining ConditioDs for tb-,w Existence
of Periodic Solutions for Ron-Linear Systmms, by
3,N. BbIwnDv.
SUSSM, b1mo per,, Prik Vo2.'XIY,)
vo 2, 1955, pp 225 49r.
T.I.L. T-4715
sci - Physics ~ 3, z -# S,

on a CA" or ftv-crlti"l StAte Of Bandug of a
0YUBbIAM1 M9319 by 3. A. Alfttaw, 5 pp.
RMIASP P", )MOM I vauh. Val ~ =0
No 2* .1955# PP%k%u7- -1-1 -;-1
ad tr Geour
RI am 3"1
Scd - Pbpios ?!7 14 Or-
W,f j
An 1956

I
on the Theory or Mbility of a Spherical ftell Bub-
jected to Exteml Pressure (With Reference to the
Paper by Ve la FmAosle4 by 19h. X. Mshtari,, 10 pp.
RUSSIANp b1m per$ Frik Hatemott I Makhj Vol =,9 go 2D
1955v pp 251-254. 36.,/-27
sci, Tr center BT-3642
Sclentifle - Ing1wering
.T= 56/dex

The Stability of Non-Steady Motions of Control
Systems, by A. M. Letov.
RUSSIAN, per, Prikladnaya Matematika i Mekh,
Vol 19, No 3, 1955, pp 257-262.
NAVY/APL/J[[U-T-2S68
Nov 71

62-2031.*
R,IZLilnikhin, B. S.
ON -MF STABILITY 01, IIIE TRIVIAL SOLUTION OF 1. Title! Lyapunov method
SECOND ORDER SYSTEMS. Sep 62 (121p. 6 refs. 2. Title: Stabilitv analysis
Order from OTS or SLA $1.60 62-20396 1. Razutilikhm. ~. S.
Trans. (USSR)
1955. v. 19, no. 3, P. 2"9-21,6.
DESCRIrr(iRs: 'Diffe-i c!ncial equations, Equations of
motion, Stabihiv, ~Nunwrival methods and procedures,
P.11-aboll.- [Wics.
Various classes of ,~xond order sysuntis Which admit
Liapunov functluns jl* form s are studied. The
discussion is ),,)Ygcl.v gL-onicirical. (Author)
(NlatllCML113tS, TT, v. 9, no. 7) Ofte DI Tichalcil Serykes

61-10404
Slobodyansidy, M, G.
ON THE EVALUATIONS FOR EIGENVALUES OF A 1. Slabodyanskly, M. G.
SELF-CONJUGATED OPERATOR. 11"11 1371p. 15 refs.
Order from OTS or SLA $3.60 61-10404
Trans of _tUSSR)
?Ijklatinap Maternallka.1-MekhW)a
1955, 9. no. 3. p. 295-M.
DESCRIPTORS- $Integral equations, 011ttactlowl
analysis,
Lectured at the conference on the theory of elasticity,
the theory of plasticity, and on theoretical questions 11 615 8
of engineering mechanics, December 22-2S. 19S4. In
the Institute of Mechanics of the Academy of Sciences
of die USSR. 1
(Mathematics, Tr. Y. 6, no. 1)

Va&-,-~ r, orms of ricrid ,.~Iquatioms f or Viuco-
plastic Fluids. and IAw of Rydrodymmic Similarityl
by IL. r. xasimcmv A. Kh, Mirze4zhanzade,, 9 PP.
MSM.. per., PrIk Mat ime Vol xIxj 19551
PP 3048-352. ----
CIA/FDD X-2752
Sci-math
APr 58 6 / 1

V`--IAJf-'N'C HI OF 'Clif" DI-TM Oil A
CIN VE, CO"EFFICIENT OF 1ASS ch a rncrerls tics
L'. 1103,171G.NTAL ummc,r. (19M) 9p. 3 refs, 1. Ye. L.
Gr~-r frona RIS 11.!0 Ris S-2109 11. RIS 5-2109
Rese-Irch Infarmation
Tr%-.S. C~ FrIk3adni"'I M-Alematlu I (USSR) Service, New York
19--,5, V. 19. no. 3, P. 333-358.
LO -- S-(' -- 5
Officv of TacWcal S~Ices
TT, v, 5, no. 11)

61-10402
Svirskly, 1. V.
ON THE QUESTION OF '1112 CONSTRUCTION OF 1. Approximatc computntion-
VARIATIONAL CALCULATION ME-MODS, 1960 (261p Theory.
1 ref. 2. Title- CalcOui c1varL;tlonz
Order from LC or SU inl$2.70, ".80 61-10402 3. Title: Raylel,,,h procedure
1. Svirskly, 1. V.
Trans. of Pr4adaityaj.11afematika 11
(USSR) 1955, v. 19, no. 4. p. 453-462.
Means ore suggested for determining approxJmate
solutions by m(--ms of Rayleigh procolurc:s. The
meLhods are Illusu-sted by a number of examples.
DID- .1 T.,!-I,-; S.Mc..
(Mathernatics. 1-17, Y. 5, no. 10)

I 7T-64-153U
KroWmIL V. A.
ON 71M PIRST VARIATION OF THE SOLUTION TO L Krou~g. V. A.
BOUNDARY PROBLEMS IN THE THEORY OF THE
POTENTIAL FOR THE VARIATON OF THE BOUND-
ARY SURFACE. ~2p 2refs.
Order from OTS, SLA, or ETC $1.60 TT-64-16382
Trans. cg Prikk6a Matemadka I Mddwnl (USSR)
Sa
1955, V. 9. ME ~4.p.
(Mechaftics-Aerodynamics, Tr, v. 12. W. 4) Office of Tech.1cal U,0-

An Afflication of Doroduitsyn's Variables in
A&jrr Theoryp by Yu, As Deopnove
fie
RUSSIM,, per, Prik Met I Hekhs Vol X32,, 19550
p 5W.
p
.W.
RAB Tr 7U
Bel - Phys
Bev 58

Some Special Solutions ok the Boundary Layer
Squations for a CMrossible Fluid, by A,, Sh.
Dorf=n,, No To Obvets., 8 pp.
RUSBIAN., per., Prik Atewt- 1, POP 0 Vol
pp 509-532. ON-WO57,
&rA CM T-88
Sci - Phys
-r-r, 7
Jul 58
-WO

Krawmakfy, N. N.
ON THH STABILM IN FIRST APPROXIMATION. 1. Dlfferentki e9milons- -
1196111281p. 11 refs. Theory
Order from LC or SLA ml$2.70. ph$4. 80 fl-10773 2. Perturbation theory
1. Krasovskly, N. N.
Trans. of MT
I Mekbeal
1955. V. 19, no. 5. 1). L4 (USSR
The second method of A, M. Wpunow Is employed In
"yIng the stability of solutions of perturbation
equations. I J) 18 5
(Mathematics, TT, v. 3. no, 9)

LoRnyanskil, L. G.
HYDRODYNAMIC '1-11H.011Y OF A MIERICAL DFAR-
ING (Gldrodinantichekaya Tenrlya Sforicheakogo
P(Ash1pnika). 1191511 1231p. (foreign ten Included)
I ref. IDSIR L1,01M.2606,
Order from OTS or SLA $2.60 61-23272
Trans. of,Pj:j0,adnnYnj Matfemnilka I I mckh1anika I
(USSR) 105, v.
DESCRIFTORS: *Rcarlngn, Spheres. Lubrication,
*HydrNlynamics.
An approximate soltalon In prenented of the problem of
determination of prensure, force and moment acting on
a spherical body which performs a general movement Ir
a spherical splice, filled with a v1scoua fluid. The ve-
locity of tranularory motion of the txAy and angular we-
--_ - aAwimcd to be knomn and con-
61-23212
1. Loltoyangkil, L. G.
111. DSIR LLLI M.2606
0

-L it Uj, 11 1
~U& j-,o ~zj ~Iic Tmcor3~ 31 Stalo"i1 ty,
by N. P. Enagin, op.
RUSSIAN, per, Pril-zladnaya Ikateim-tillea I Mc:-~han4ll~q,
Vol ~JX, No 5,79-5t
01-3 M , 2--,o3)4
7
Sci
M'aY ":: 3

Barbashin, Ye. A - and SWIdna. M. A. 61-14763
ON THE QUESTION OF STABILtrY IN FIRST AP- 1. Barbashlo. Ye. A.
PROXIMATION. 30 Dec 60 (51p. 2 refs. 0 - Skalhas, M. A -
Order from OTS or SLA $ 1. 10 61-14763
Trans. of Pylkladnaya Matematjko.IM~k4~zl (USSR)
It!
DESCRIPTORS: Numerical analysis, ODifferentiall
equations, Perturbation thmq, Theory.
The author examines In a qLhilitative senge and pre-
sents a theorem relating solutions of the hornageneous
first order variational equations to swudow of the Don-
homogeneous equations given on exponeWIVY bounded
stable solution of the homogeneous equadons and
certain assumptions on the nature at dw r=-b0Md~W-
ous equations. (Translator)
01%~ 917 %W'1~
(Mathematics, TT. w. 6, no, 1)

Kreyn. M. G.
ON THE CRITERIA OF THE STABLE UM[TED- t)ifferemW o"dow..
NESS OP THE SDUMONS FOR FEMOEXCAL lbwry
CANOMCAL SYMEM. ( 1961)[671p. 13 reft. 1. Kma. M. 0.
Order from Wor MA mi$3.90.041o.so 61-109421
Trans. c(_Pdklmft* Mat"n"t0cm I biddmmft
(USSR) i"S. v. to-1-60--v. -P. "I-7w.
I
1.51871.
(Madernadcs, TT, Y. 5. W. 9)