SCIENTIFIC ABSTRACT KUKOZ, F. I. - KUKSA, I. N.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000927310019-9
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 23, 2000
• Sequence Number: 19
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

P.'!~;kSv_ I SC-OK EX-PLOITA -110N S%~_~
Vneroi-mlys1myn kanferentsiyn professorov i prepodavateley pe-Jarogicheskikh
Institutov
Primenetilye ul' trnakustiki k issledovaniyu veshchestva. -;-,p. 10. (T-Ttilization
of Ultrasonics for the Investigation of Materials. no. 10) Moscow, lzd-vo
MOPI, 1060. 321. p. 1000 copies printed.
Eds. : V. F. Nozdrev, Professor, and B. B. Kudryavtsev, Professor.
11111111(Vil-1: ThW hooi, ip intended for ph,vfiictntn and engineers interelited in
ultranotiiQ Ongipeering.
COVERA(sr: The collection of articles reviews present-day research in the
applic'ntion of ultrasound In medicine,, Owtitif;try, phyqlc,,), me-tallurfy. ce-
ramicn, petroleum and mining engineering, defectoi;,.,opy, and other fteltlo.
No personalities are mentioned. References accompany individual articles.
Card W40

Utilization of Ultrasonics (Cont. SOV/5644
Kukoz, F. I. [Novocherkasskiy politekhn. in-t-Novocherkasek
Polytechnical Institute]. Study of the Effect. of Ultrasound on
the Electrolytic Oxidation of Chromium Sulfate at a Lead
Anode 95
Trofimov, A. N. [MGPI im. Lenina-Moscow State Pedagogical
Institute imeni V. 1. Lenin]. The Distribution of Metal on a
Cathode Surface During Electrodeposition in an Ultrasonic
Field 103
Mal I tsev, N. N. , and V. 1. Dal' [Dnepropetrovskiy KhTI -
Dnepropetrovsk Institute of Chemical Technology~. Using
Ultrasound to Intensify Absorption 109
Mal' tsev, N. N. [Dnepropetrovsk Institute of Chemical Tech-
nology]. Study of the Precipitation of Coal Residue From the
Circulating Waters of a Coal-Enriching Plant With the Aid of
Car() 4/10

ZA)
6 125/232
6/194/62,1000/000/
D256/D308
AUTHORS: Pedorovj Yu,,V.p and Kukozp F.I.
TITLE: ~1~ffect of ultrasound on Polarization in the process
of oxygen liberation on lead dioxide electrodes
PERIODICAL: I-'.'eferativnyy zhurnal. kvtomatika i radioelektronika,
no. 6j 1962, abstract 6-5-40 r (V sb. Primeneniye
uiltraakust. k issled. veshchestva, no. 12, M., 1960't
159-lb6)
T3XT: The effect of ultrasound on the excess Dotential of oxygen
on a lead dioxide electrode was investigated, Siwe it is of impor-
tance in charging lead batteries, The polarizatib-a in the process
of oxygen liberation was investigated using a smooth platinum elec-
trode; an electrode covered with the lead dioxide and an electrode
of oxidized lead, with and without the ultr sonic field of a fre-
quency of 1 nc/s.and an intensity of 3 W/cm~- It was found that
the ultrasound decreases the polarization during liberation of oxy-
gen on h smooth plate; the excess potential *of oxygen on the lead
dioxi"P deposited on the plate is reduced by ultrasound. With an
Card ~9

3/194/62/000/006/125/232
Effect of ultrasound on D256/.D308
oxidized lead electrode the ultrasound also reduces the excess po-
tential, increasing at the same time the max. current producing the
lead dioxide. 3 figures, 21 references. [Abstracter's note: Comple-
te translation.]
Card 2/2

46oo
.522
SOV/80-33-1.-31/49
AUTHORS: Kukoz, F. I., Skalozubov, M. F.
TITLE: Effect of Ultrasound on Anode Formation of
Lead Dioxide
PERIODICALi Zhurnal prikladnoy-khii-aii, 1960, Vol )3, Nr 1,
pp 177-181 (USSR)
ABSTRACT: The authors studied the effect of ultrasound on the
formation-of lead dioxide by anode polarization of
* smooth lead plate in 6-7N 11 2301, oolution with,
* current of dons~ant density (0.5 ma/cm 2). A
short review of previous work in this field Is
given. Results of the experiments are given in
Figs. 1, 2, and 3.
Card 1/7

Effect of UltrasoLind on Anode Foniiation 77522
of Lead Dioxide SOVAO- ~3-1-31/119
A
Fig. 1. Curves of anode passivation of a smooth learl
electrode (ia = 0.5 ma/cm 2) in 6.7N 112solt.
Card 2/7

EffOot Of UIAL"U.101111ld on Aiiodo Povinat-Lon
oi' Lead Dioxide
(A) Anode overvoltage (in mv); (B) time of anode
Polarization (Iii m1n) - (1) Without ultrasound;
(2,3,lt,) wIth ultv1-1--ound of 1.11 inc, frequency,
and 1.3 and 5 ~/cm 2 Intensity, re V ectively.
so
24-
2
Fig. 2. Curves of' change of' values E max (curves
1 and V) and t1jae of cathode polarization needed
C a rd for coniolete rpmoval of T)roduc~.,~ of anode corrosion

Ef.Cect of' Ultrasound on Anode "ot-niation '17522
of Lead Dioxide SOV/80-33-1-31/49
with cathode polarization (curVE!S 2 and 21),
depending on the number of cha~,,-,,-,-discharge crles
in an ultrasonic field of 3 W/c,," (solid line , and
out of ultrasonic field (broken iine~. (0 VL-"!,-,o
of maximum of anoIde curve Emax (in v); (B,' we of
cat-1io.-le polarization ( in min); (C) number of
charge-c-Ischarge cycles.
C ard 11 /7

Effect of Ultrasound on Anode Formation 77522
of Lead Dioxide sov/80-33-1-31/49
2;iE~ e4
C
Fig. 3. Oscillograms (a, b, c) of anode charge
curve in the portion of sudden shifting of potential
to the positive side. (1) conventional zero lines;
(2) electrode potential at which a short lag occurs,
if anode polarization is conducted without ultra-
sound; (3) mechanical zero of the apparatus; (4)
abscissa for electrode potential (hydrogen scale).
Scale of o5cillograms (a) and (b) on potential axis
Card 5/7 is 120 mv/mm, and of oscillograiii (c) 100 mv/hun.

Effect of Ultrasound on Anode Formation 77522
of Lead Dioxide SOV/80-33-1-31/49
The lag of the anode potentials is connected with the
formation of intermediate products. The process of
basic salts formation on the anode in the sulfate
pores 15 expresoed;
1'h(O11)2 + PbS04 --a Jbo . PbS04 + 1120, (1)
Pb(011)2+1'bf) PbSO,=211bO - PbS04+ VZO (2)
Pb(O11)'+211bO 1'bS04-31'bO - "bS04 + 11A0- (3)
The following conclusions were made: The quantitative
characteristic of the anode charge curve is af Peted
by ultrasound of 1.4 mc frequency and 1-5 W/CM
intensity. At low intensities the ultrasound accele-
rates the passivation process, and delays it when
the intensity is sufficient to cause cavitations.
The anode oxidation Is not a uijnple replacement of
one electrochemical process (Pb -2e --p-Pb'') for
C Rrd 6/17 another (Pb' ' -2e ---vpb* * * '); it consists of a series

Effect of Ultrasound on Anode Formation 77522
of Lead Dioxide sov/8o-.55-1-31/49
of short-lived cumulative processes by which basic
salts and their solid solutions are formed. Ultrasourd
decreases E The deovease progresse's with the Increase
of ultrasouRi-xintonsity and wilt:h the thickness of the
corrosion products layer of the first phase of passi-
vation. It is suggested that formation of lead dioxida
starts before the anode charge curve attains its maximum.
Ultrasound depolarizes both the process of anode
oxidation of metallic lead into bivalent and the
transformation of bivalent lead into tetravalent. There
are 3 fig-ures; and 16 references, 4 U.S., 1 U.K.,
3 German, 1 French, 7 Soviet. The U.S. and U.K.
references are: P. Jones, R. Lind, W. K. Wynne-Jones,
Trans. Faraday Soc., 9,972 (1954~; 1. Burbank, J.
Electroch. Soc., 103, 2, 87 495b); R. RLIetscht, B.
Cahan, J. Electroch. Sod ., 104, 1106 (1957); 1. Lander,
J. Electroch. Soc., 103, 1, 1 (1956); 1. Lander,
J. Electroch. SOC., 95) 174 (1949).
ASSOCIATION: Novocherkask Polytechnic Institute (Novocherkaskly
politekhnicheskiy institut)
SUBMITTED: January 15, 1959
Card 7/7

M- --- - --- -- - - ---- - - --
MOV, ~j4LNUKOZO I..A.
-- I I I
Nature of acoustic-olectroahemical phedomena. Prim. uPtra-
akust. k isol, veshch. no.13:15-26 161. (nU 16**6)
(Slectzioacoustics~
(Electrochemistry)

AUTHOR: Kukoz, F. I., Kukoz, L. A. and Matsokin, V. 1,
TITLE: Measurement of ultrasonic intensity in liquids
9;/263/62/000/014/003/006
1007/1207
PERIODICAL. Referativnyy zhurnal, otdel'nyy vypusk. 32. lzmeritel'naya teklinika, no. 14, 1962, 23,
abstract 32.14.150. In collection Prom. primeneniye ul'trazvuka Kuybyshevsk. aviats.
in-t, Kuybyshev, 1961, 49-56
TEXT: Apparatus and methods are described for measuring integral acoustic power and local in-
tensity of an ultrasonic field, as well as for investigations on the influence of ulti-asonic waves on electro-
chemical processes. Comparison is made of the results of measuring ultrasonic intensity by calorimetric,
thermoelectric and piezometric methods (the latter developed by the authors), and ~the piezometric technique
for calibration of ultrasonic probes is outlined. Measurements were carried out at a sound frequency of
0.7 to 1.5 Mcs and a sound intensity of 5 w/cm2. Maximum errors with the calorimetric methods amount
to 20~30 %: with the piezometric methods the error is only 10 %. There are 6 figures and 21 references.
(Abstracter's note: Complete translation.)
Card 1/1

d 1/2
ar
C

SUMITTED uma46i - ENCL: 02
SUB CODE: GP NEt- W. SOV.: 009 - OTIUM: 012
C :d 2/4,

MOZ F 1.
Effect of ultrasound on the potential of cathodic hydrogen
evolution on activated smooth platinum. Prim.ul'traakust.k
insl.veshch. no.1647-60 162. (MM 1624)
(Bleatrodes, Platinum) (Ultrasonic waves)

S/076'62/036/004/003/()12
Bi 01 X1 10
AUTHORS: Kukoz, F. and Kukoz, L. A.
TITLE: The nature of audio -el e at rochomIcal phenomena
PERIODICAL: Zhurnal fizicheskoy khimii, v. 36, no- 4, 1962, 703-708
TFY.T: Theoretical explanations are proposed for the experimental data of
other scientists concerning audio-electrochemical effeots. (1) If the
electrodes are covered by gas bubbles, pulsation of tbose bubbles sets int
whereby the actual surface and polarization current density are changed.
For the amplitude AE of the potential change one derives:
112
jM_ - b lo& 1 - M)A' - M) P + P )AP + XV (8) where b - the
t( L( 0 a 0
constant of the Tafel equation for cathodic H2 liberation, p - occupancy
of the electrode by gas bubbles, Po - hydrostatic pres;3uret Pa_ T. amplitude,
of the acoustic pressure, V - sound frequency and x w 0.426 cm seo-1.
This equation agrees well with the experimental datua of E. Yeager et al.
(see below) for 1/4< m < 1/2. (2) For m 10 11 ev and Emulsion Nuclei
particles may be described by xi . log tan 01* For constant energies of
the primary particle, the anisotropy of nucleon-nucleon showers and
showers caused by central collisions of a primary nucleon with a heavy
nucleus differ largely. D..S. Chernavskiy (Ref-7) has given a hypo-
thesis concerning the existence of a special type of inhomogeneities in
nucleon-nucleon collisions. The present paper leads to the following
concluslons: 1) When studying interactions of high-energy nucleons (up
to 10 12 ev) with heavy nuclei, one must take into account the expansions
of the nuclear matter tube when striking this matter out of the nucleus,
2) The anisotropy in the angular distribution of nucleon-nuclear showers
does not decrease with increasing number of excited nucleons. This holds?
at least, for energies of up to 5-10 12 ev. 3) In this energy range, the
relative probability of accompanying showers as predicted by Chernavskiy
does not exceed 0.04. The "accompanying tube" must not be investigated
independently of the principal one. 4) The angular distributions of
relativistic particles in the showers are homogeneous and can be
Card 3/4

86887
Multiple Production of Particles in the S/056'60/039/005/001/05",
Interaction Between Nucleons of Energies B029711079
> 1011 ev and Emulsion Nuclei
exaetly.deecribed by Gauss functions in the variables x - log tan 0.
The-authors thank A. A. Blyudzin, D. M. Samoylovichq A. N. Charakhchlyan~
V. P. Grigor)yev, Ye. L. Feynbergq and G. A. Milekhin for assistance
And discussions. There are 8 references: 5 Sovietq 1 Dutch, and
1 Italian.
ASSOCIATION: Radiyevyy institut kkademii nauk SSSR (Radium Institute
of the Academy of Sciences USSR)
SUBMITTED: April 6. 196o
Card 4/4

S/120/61/000/001/012/o62
E032/E114
AUTHORS: Zhdanov q A. P. , and
TITLE: A Devive for the Identification of Multiply-Charged
Particles Stopping in Nuclear Emulsions
PERIODICAL: Pribory i tekhnika eksperimenta, 1961, No..L, PPA5-47
TEXT: A pliotcelectric devic,~ for the measurement of the
width of charged particle tracks is described. The device is based
on the ordinary biological microscope MF--,V -3 (MBI-.3) with a special
stage and the M~-l (MF-1) r,ttachment. Fig.1 illustrates the
optics of the device. After passing througli the objective, light
rays from the object enter either the eyepiece of the attachment so
that the position of the track can be observed visually or are
reflected by the mirror 3 into the slit of a photomultiplier.
The plane of observation and the pleme of the ph-otomultiplier slit
are optically conjugate and the cross iiire in the plane of
observation coincides with the position of the photomultiplier slit
on the real image plane. The mirror 3 is adjustable with the aid
of the magnet M and is used to displace the image of tlie track
relative to the slit. The electromagnet is mains operated and the
Card 1/ 5

S/i2o/6i/OOO/OOljfOl2/o62
E,032/E114
A Device for the Identification of Multiply-Charged Particles
Stopping in NUClear Emulsions
windings on the electromagnets include crystal diodes so that the
image of the track can be periodically displaced relative to the
slit at a repetition frequency of 100 tp5. The ef'Pective slit
size on the plane of the emulsion is 0.15 x 6 ji?, whale the width
of the band "examined" by the slit %,rhile the mirror is vibrating is
4 1L. The basic idea on which the measurement of the halftridth of
the track is based consists in the transformation of the photo-
multiplier pulses into rectangular pulses of fixed amplAtude and a
length equal to the halfwidth of the photomultiplier pulse. The
circuit employed is shown in Fig.2. The 100 cps voltage pulses
from the anode of the photomultiplier represent the form of the
transverse profile of the track. These pulses are amplified by an
amplifier mounted on the photomultiplier container 6H 3r1 (6143P)
tubes and two additional amplification stages 6xin (6ZhlP) and
6n In (6pip). Negative voltage pulses (some tons of volts) are
then fed through a limiter to the control grid of the squaring tube
6.NK4 (6Zh4). The discriminaLor (in the dashed box in Fig.2) is
Card 2/ 5

S/12o/6l/ooo/=*,Jol.,t/o62
E032/Eli4
A Device for the Identification of Ifultiply-Charged Particles
Stopping in Nuclear Emulsions
similar to that described by I..M. Kuks in Ref-3- The
discriminator threshold is set up by the 47 kohm, potentiometer
and is independent of the magnitude of the signal and always
corresponds to one half of its amplitude. For this reason the
length of the pulse at the output of the discriminator is equal
to the halfwidth of the pulse at its input. The time average of
the signal at the anode of the squaring valve 6Zh4 is shown on an
output meter. Tests have shown that changes in the amplitude of
the signal at the input of the discriminator in the range 20-60 V
produce a change of not more than 20,19,in the output meter Ml (Ml).
Fig-3 shows the results obtained for Li and H tracks (track width
as a function of residual range, 30 divisions = 1 IL on the
vertical axis; the residual range is in microns along the
horizontal axis). Lithium hammer tracks and proton tracks
identified by other methods, and having dip angles smaller than
70, were used.
There are 3 figures and 3 references: 2 Soviet anti 1 non-Soviet.
Card 3/5

7e
S/120/61/000/001./012/o62
ADevice for the Identification... E032/Eu4
for
A Devic
ASSOCIATION: Radiyevyy institut AN SSSR (Radium Institute,
OCI TION.
SS A
A
AS USSR)
SUBMITTED:, February 28, 1960
S JITTr
UB D.,
Card,11/5
JV
74e
Fig.

is Is-a W.-
WAS
p

KUKS, I.M.
Clipping circuit with a clipping threshold proportional to the
amplitude of the effective pulses. Prib. i tekh. eksp. 6 no.l:
1 98-99 Ja-F 61. (MM 14:9)
1. Radiyevyy institut, AN SSSR.
(Pulse techniques (Electronics))

3 75 116,
3/048/6,!/026/005/010/022
B100104
AUTHORS: Zhdanov, A. P., and Kuks, 1. 11.
,n
HTLE: Particularities of the angular distributions of relativistic
particles in a-nuclear showers
PERIOD! CAL: Akademiya nauk SSSR. Izvo3tiya. Seriya ftzicheskaya, V. 26,
no. 5, 1962, 618-621
TEXT: In the coordinates x i . log tann~i, most nucleon-nucleus showers have
a Gaussian angular distribution. An inhomof.;eneous distribution of
a-nuclear showers would prove that the processes of meson emission from
_-xcited systems are not interdependent. 28 inelastic scattering events
(Xc> 3, ns> 25) of alphas and nuclei of a photoemulsion were studied. These
showers can be divided into three Croups: (1) nucleon-nucleus showers with
Gaussian distribution; (2) showers with one or two particles collimated
in the direction of the primary alpha; without such particles, the
distribution of the remaininG showers would be as Gaussian as that of the
showers of group (1); (3) sho,.,.ers with a distribution indicating super-
Card 1/2

S/04 62/026/005/010/022
Particularities of the angiilar.,.. B 108YB 10.1
position of two Gaussian distributions with different statistical weights
and different maxima. A close correlation between the polar and azimuthal
angles has been established, which is probably related to the law of
conservation of transverse momentum of the system of particles. There are
2 figures and 1 table.
Ca-A 0 /')

jEys, I.M.
System for de%emlning the energy threshold of of
.AgBrmicrocrystaja to charged particles. Zhur.nauch. 1 prikl.fot.
I kin. 9 ro,,'.-',,.458-45q N-D 164. (MIRA 18:1)

AUTHOR: _-Mik.6-~1- - U SCiV/140-58-4-15/30
TITLE: On Some Properties of the Solutions of Non-Linear Equations of
Elliptic Type (0 nekotorykh svoystvakh resheniy nelineynykh
uravneniy ellipticheskogo tipa)
PERIODICAL: Izvestiya vysshikh uehebnykh zavedeniy. Matexatika, 1958, Nr 4,
pp 131-139 (USSR)
ABSTRACTt The author considers the second order partial. differential
equation
(1) F(X'z) ' F(xl'x2;z,z, 9z 292W z 12'z22) - 0'
where xl,,x 2 are the independent variables, z - unknown function,
") z 2
z C `~~ z Let further F S F and let
i - 'a xi ik ID xi xk a ~ a z i 'a zk
the form F 9 + 2F + F 2 be definite (an absolutely
11 1 12 11 12 22 ~2
elliptic system Ref 1] ).
Theorem: In the domain D with the boundary 5 let v be the
solution of (1). Let u be a two times continuously differentiable
function for which P(X,u)),O. Let further u vi . Let
2 ^ . I s
A i F F + B (1-1,2)
1 2 C 2 1
Card 1/3 k.~ k k1
I

On Some Properties of the Solutionz of Non-Linear Equatio:as SOV/140-58-4-15/30
of Elliptic Type 'cl B I '~,B2 '~)F
R +
x I ')x2
where in the deri-atives w~.th respect to Z,Z,,.Z instead of z
L ik
there .~s put the expression v + O(U-V), O;:~GK-l and B1 and B2
are continu3us functions in D,.~the deri-vative;3 !DB1 -ZIB2
~x-2
of wb`.oh. are ?iecewise contiquous., If under these conditions
~F S F A
1 12 1
F 2~ F
z A2 > 0'
12 22
Al A R
2
then u.!~*;'v.
The second theorem contains the principle of Phragmen-Lindel8f
Card 2/3 for the equation

On Some Properties of the Solutions of Non-Linear Equations SOV/140-58-4-15/30
of Elliptic Type F(X, Z) = 2 (A '')2 ) + f(X,2,) - 0.
Z .4 x ik ax
i,k=l i k
Four further theorems are of the type of Sturm and base on the
generalization of th6"identity of Picone Ptef 67. The results
are used for the investigation of the uniqueness of the sc,lution
of the Dirichlet problem. The author's formulations as well as
misprints easily lead to misunEerstanctings.
There are 11 references, 6 of which are Soviet, 3 Italian,
1 Roumanian, and I American.
AMOCIATIONsLIvovsk.4y gosudarstvennyy universitet imeni Ivana Franko
(Llvoy State University imeni Ivan Franko)
SUBMITTEID:. January 31, 1958
Card 3/3

16(1)
AU'THOR: .13ov/140-59-3-16/22
TITLE. Some Geometric Marks for the Uniqueness oT the Solution of the
Dirichlet Problem for Strongly Elliptic Systems of Differential
Equations With Partial Derivatives of Second Order
PERIODICAL: Izvestiya vysshikh uchebnykh zavedeniy. Matematika, 1959, 11r 3,
pp 168-172 (USSR)
ABSTRACT3 In the domain D with the boundary S the a-Ahor considers the
system
(1) Lu -=:' (Aux+ Bu )X + (Bux+ Cu V)y+ A11.Xx+ 131Uy+ CIU - 0
y
and the selfadjoint elliptic or parabolic equation
(2) Tv -=- (9v + tv ). + (tv +'Cv ) + kv - 1)
x y x x Y.Y
it is assumed that A,B,C,A,,B,,Cl are continuous real quadratic
matrices of the order n, u . (uVu2Y0'09un), Emd Q,t,,Z-,Qx tx1ty0
0,
+1 Y, ax, Oil
It n
It+
+ 12~ b~
C32 ell +L
ax, Lj ai2 C1XI
+2 M. i-I-
9,11 C12+ > 0.
FIT
. . . . . . . . . . . . . . . .
is satisfied.
Card 3

a 0 161-,100010*0210051009
On region. f s lvability.......... S/140
C1 1 I/C22:2
Let u (u, be a solution of the str6n~ly c1liptic system with
luN
constant coeffiAients
.2m 2m-1 2m-2
Lu 1N u+A u+A u+.**+A &u+A
2m-1 2M-2
where
aJ111
a 0
jj22
A
(5)
a
The first boundary value problem for (4) is solvable in D if ther*e
so that the inequalities
exist-fik 2
In j j )2~, 2j-l,ii'
x ..... 7 --%C n in 4 -(a 2J-2,ii- 1)
j
Card
.4/8

0n reUions of solvability .. 9/1-4 611000100210051009
C111 2.22
YC
are satisfied.
Lot 2
max ('2j -1 ii" .(a
4. 2j-21ii- (61)
If'the functions fk (k-Ij...,n) satisfy"the inequality
kf,-, 2 2
777 2)
x n (6
then obviously all other inequalities are satisfied too.
Let
VIBN, -1.) (x)
OXIS... d.A I Ft
where the matrices B( ('x) are synnetric and in b they have bounded
and corLtinuous.derivati,res up to the m-th o--der;
I m;j 110.4~jm) 011-2jm ill.f.)i M)
B (X)
Card 5/8

I M,
On regi6ns of Lvabil'ity... S/140/61)),000/002/005/009
C1 11 /C222
In the finitelog~on D let 'F n satisfy the condition (E) if
m
U)1] >,Am[(-1)a6mu1U1 p
D D
where A is,a ositive constant. Let
m
amu (X)
1. fit
K, U
ax"
where the matric aP 'K( )(x) are skert-symmetric. The author considers the
system M
L (Cm-t+Y'n 0,
-Ou (10)
2 mu
0
where all C satisfy the condition (E). The fkat boundary value
M-t
problem.for (10) is solva.ble if IL2mu'u) > 0. But
D
Card 6/8

On regions of solvability..., 51140!161,10001'00210051009
0111/C222
m m nl-tY-lt 1)
IL2m ujul is I LLGM-t U] +[K.-tU'Uj')j>/ Z A2'-t[(-1)1 U, U] (11)
D t-o B tao
is so that the question Leads to the -results given above.
The author given a number of simple partially known (Ref.4) marks t"t
there exist derivatives no thst
V-fj &Yn 2
7~1 +6 *.+ 64 (12)
X YX- Tn
1 n
is valid; therefrom there follow marko for the solvability of the first
bounda--7 value problem, e.g.
Mark 31 If D oan be inalude'd into an a-dimensional ~5ube the lengt1i of
-atn
edges of which is< F 11 then the first boundary vzl~s problem for L
'%7r 2m V/
is solvable in D.
Mark 78 If D can be Inoluded Into a cylinder of the height R and the
r&dius R which satisfy
2 rK 2
M (2-4948) 4 ( : 1) (13)
R R
then the first boundary value problom for L2m la oolvable in Do
Oard 7/8

on regions of ealvability... S/14OJ61/000/002/005/009
0111/0222
It in pointed.cut that eog. the maxk 7 determines the critical
m W itude of the nuclear reactors and that the equation
A 2W#O2A w+k 2w 0 0
for the stability of a plate in the slastical medium bolonga to the
considered classes of equations.
The author mentions S.A.Chaplygin. There are 7 Soviet-bloo an& 2 nolk-
Soviet-bloo rsferonoe4.
ASSOCIATIONsLOvovskiy gasuderstvannyy universitst im.I.Frsmko (Lgvov
State University im.I.Pranko)
SUBMITTED2 Janus,7 139, 1960
CaXCI 8/8

KUKS, L.M.
Theorems in the qualitative-theory of highly elliptic systems
of the second order. Usp.mat.nauk 17 no-3:181-184 YW-Je 162.
(Differential equations) MRA. 15:12)

32809
0 810201621142100110051021
C111/C444
AUTHORt Kuka, L. M.
TITLEt Sturm's theorem and the oscillation of the solution of
strongly elliptic systems
PERIODICALs Akademiya nauk SSSR. Doklady, v. 142, no. 1, 1Q162, 32-35
TEM Considered are the strongly elliptic systems
n
> -a- A (X) hl~- + C(X) u 0 (1)
i,j=l CI xi ij ax
n
L a G (X) + H(X) v O~, (2)
i,J-1 axi ij axi
where A ij (x) -AJ_i (X)j Gij(x) = Gj,(x) are twice continuously differen-
tiable, C(c) and H(x) are continuous real symmetric square matrices
of order N, being defined in a'domain D. One supposes that for every
x 6 D and for every column 0 with the height nN the following
Card 1/15

32809
S/020/62/142/001/005/021
Sturm's theorem and the . . . C111/6444
conditions are satisfied
~* Ot (X) ~ > 01 (X) 0
where
6t(x) A (x)jj n (x) Gi j (x) 11 n
ij i1j=11 iYj=1
First of all the author proves the theorem of Sturmi If in D the
conditions
g *(at (X) (x)) 0 (3)
1~*01(x) C(c)) '9 :2,- 0 (4)
are satisfied, where the column N has the height N, and if there
exists a solution u(x) * 0 of (1) vanishing on the boundary a, then
the determinant of every square matrix V(x) of order N, for which
Card 2/15

SIO 2Y 2221810492,1001100 5/0 21
Sturm's theorem and the . . . C111 C444
7
n BV*(X) Gij(x
V G (X) "VIX) V(x) 4-1 .... on)(5)
J-1 ij ax:J OXJ
J
holds and for which the form
(G,J(x) +.H(x)v(x]) (6)
is negative semidefinite, vanishes in at least one point of the domain
D. Adjoining the author defines; the system (1) is called non-oscilla-
ting in D, if in every subdomain of D the first boundary value problem
is uniquely solvable.
Theorem 2: If in D there exist symmetric square matrices Oi(x),-.,(k(x)
of orer N, being continuous in all arguments, and continuously
differentiable with respect to x 1, x2, ... , x. the matrix
Card 3/6'

328059
S/020/62/142/001/005/021
Sturm's theorem and the . . . C111/C444
n 0. W -W -1
- C(x) + j (x) Ot (x) 0 (x)
7- xi
where j=1 ) being positive definite, then
0 * (x) ...... t(x)
(1) is non-oscillating in D.
For the single elliptic equation
n
L(U) (aij(x) Ou + C(x)u = 0, aij(x) = aji(x) (12)
ax
there holds
Theorem 3: In order the solution of (12) to be non-oscillating in D,
it is necessary and sufficient that there exists in D a poEitive twte
continuously differentiable function v(X) such that L(V)tr,: 0.
The author mentionst M. I. Yellshin, V. Ya. Skorobogatfko and Lyapunov.
Card 4/5

32809
S/02 62/142/001/005/021
Sturm's theorem and the . . . C111%444
There are 6 Soviet-bloc and 4 non-Soviet-bloc references. The 3 referen-
ces to English-language publications read as follows: P. Hartman,
A Wintner, Proc. Am. Math. Soo., 6, no. 6(1955); G. Bliss, J. Schoen-
berg, Am. J. Math., 51, 781 (1931); R. L. Sternberg, Duke Math. J.,.a,
no. 2, 3110952).
PRESENTEDs July 26, 1961, by I. G. Petrovskiy, Academician
SUBMITTED: July 22, 1961
Card 5/5

KUYSAP A.V.
Investigating the character of ingot mold wall daformations
with the use of a plexiglas model. Izv. vys. ucMb. zav.;
chern. met. 8 no.5:45-50 165. (MTRA 18:5)
1. Volgogradskiy politeklmicheskiy institut.

ICU,XSA., Cenek
Ow wa 1- Ilion Moms. of determining rest periods and their inclusion in
the output standards. Prace mzda 1-1 no.6%259-263 Jo 163.
1. Vyrobni hospodaralm jednotka Svitp Gottwaldov.

m - I - - - - - - - -
KUKSA, Cenek
Bonus regulations in the shoe industry. Prace inzda 11
no.10:456-459 163.
1. Vyrobni hospodarska jeanotka Svit, Gottwaldov.

KUKSA, Cenek
Problems of determination of the rert time standards and
their inclusion in the output standarda. Kozarstvi 13 no.9:
281-284 3 163.
1. Vyrobni hcnpodarvI(a jcdnotlka SvIt, Gottwaldov.

KUSA, Genekp pr9movany ekarom
Problems of determining the rest periods and thatr inclusion
in output s-Umdards. Prace mzda 11 no.9t415-419 S'63
1. Vvrobni bospodarska jednotka Svit, Gottwaldov.
4

KUKSA. Cenek
. - -,- ---, - I., ----------
Importance of the improvement of qualification for raising the
labor productivity. Prace mzda 12 no. 4:155-158 Ap 164.
1. Vyrobni hospodarska jednotka Svit, Gottwaldov.

AUTHORi Kukoa, I., uenior foreman SOV/27-59-1-25/31
TITLE: These are the Hands of Diligent Young People (Vot eti ruki,
ruki molo(7ye)
PERIODICAL: Professionallno-tekhnicheskoye obrazovaniye, 1959, Nr 1,
p 32 (USSR)
ABSTRACT; In honor of the 21st Congress of the USSR Communist Party,
the students of the Sharlykakoye uchilituhche mekhanizatsii
sellskogo khozyaystva Nr 12 (Sharlyksko~?Agricultural
Mechanization School Nr 12) agreed to iricreElse the pro-
ductivity of their work.
Card l/ 1

KUKSA~ I.N.. -
Development of scientific and experimental works on the
biolo.uical fixation of atmospheric nitrogen. Izv. AN SSSR.
Ser. biol. 31 no.1:170-174 Ja-F 166.
(MIRP. 19: 1)

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