SCIENTIFIC ABSTRACT SOBOLEVSKIY, P.YE. - SOBOLEWSKI, H.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001651910009-9
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 26, 2000
• Sequence Number: 9
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

On First Order Differential Equations in the Hilbert Space SOV/20-123-6-8/.P
With a Variable Positive-Definite Selfadjoint Operator, the
Fraction Power of Which has a Constant Region of Definition
IIA1/2(' 1/2( 1/2( 1/2 (.C ) 11 .
t)A_ 'C)-A- t)A .6 C(p) max la ik(t'x)
fx,i,k 1/p
aik(,C,X) 1+ max a(t,x)-a( r-,x) 1+ IC(t,x)- 6'( V, x)j P dl
x
There are 16 references, 13 of which are Soviet, 1 American,
1 German, and 1 Japanese.
ASSOCIATION:Voronezhskiy sellskokhozyaystvennyy institut (Voronezh Agricultural
Institute)
PRESENTED; August 1, 11958, by I.G.Petrovskiy, Academician
SUBMITTED: July 24, 1958
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S/044/62/000/003/o6l/092
4, C111/C444
AUTHOR: Sobolevskiy, P. Ye.
TITLE: M-Wn- -ap-p-r-oximative method for the solution of differential
equations
PERIODICAL: Referativnyy zhurnal, Matematika, no. 3, 1962, 36,
abstract 3V185. ("Zap. Voronezhsk.. s.-kh. in-tall, 1959, 28,
no. 2, 399-400)
TEXT: Considered is the problem
d-k+ Ax = 0, X, x0 M
t=O
where x = x(t), t >~-O, is a function with values in the Banach space E,
A being a closed linear operator in E with a dense domain (D(A).
Let t AJ be a sequence of bounded operators in E such that for
x 't D(A) lim A x - Ax 0, and let t X0 be a sequence of
n ---) a) n 0 0 n I
elements of the space B x n-4 x . Let x n(t) be the solution of the probler,
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S/04 62/000/003/o61/0.02
On an approximative method for the C111YC444
dx + A x = 0, x = X0
-~T n It=O n
Two theorems, grantinG the convergence of x n(t) to the solution of prob-
lem (1), are formulated without proof.
!Abstracter's note: Complete translation.]
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16(l)
AUTHOR: Sobolevskiy, P.Ye. ~30V/20-128-1-10/58
TITLE; -rtan---o-t ~Iona~ryz~qfuaio~ns of Viscous Fluid Dynamics
PERIODICAL: Doklady Akademii nank S~iSR,Vol 128,Nr 1,T)p 45-48 (USSR),10~90~
ABSTRACT: Let _Q be an open domain of the m-dimensional space with the
boundary 1F ; U 0 a -vector function defined on -,2 for m = 2
Theorem 1 There exists a unique solution of
(9) (A--U) t + A AU + A - _'LP U' '_~OPf(t) , U(O) = U
u k xk 0
defined on 10't0 The function A 112 U(t) is continuous and
A-i, U(t) is absolutely continuous in H. Purthermore
I-U Ji~2
(A_"'t) A is inte.-rable according to Lebesgues.
t
The identity
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Non-3tationary Equations of Viscous Fluid Dynamics SOV/20-128-1-10/58
UVdx + V f~U' V' dx + ~ Uk U' Vdx fVdx
xk xk xk
A
holds for all V =-' ITIAIJ.)
Theorem 2 t For m - 2 there exists the solution of (9) for
t -~- 0 .
Theorem 3 states the correctness of the problem.
Theorem 4 considers the stability of the solutions of (2) for
t->oo in the case m. - 2 .
M.A. Krasnosellskiy, 3.G. Kreyn, and S.L. Sobolev are mentioned.
There are 13 rpferences, 10 of which --re Soviet, 2 German,
and 1 French.
Association: Voronezhskiy sel'skokhozyaystvennyy institut (Voronezh
Arricultural Institute)
PRESENTED: May 14,1959, by A.114. holmogorov, Academician
SUBMITTED: 11'ay 13,1959
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1-&~ I ~, -/I, t.; J 66442
AUTHORS: Krasnosellskiy, I.I.A., and,,Sobolevskiy, P.Ye. SOV/20-129-3-7/70
TITLE: Fractional Powers of Operators Actingifi-B-affffidY-S-paces
PERIODICAL: Doklady Akademii nauk SSSR, 1959, Vol 129,Nr 3,PP 499-502 (USSR)
ABSTRACT: An operator A in the complex Banach space E is called normally
positive if D(A) is dense in E and if for all t,>O there exist
the bounded operators (A+tI)-l defined in the whole E, where
(1) 'I(A+tI)-' 11 ,1 and a certain E > 0 the
inequality
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675514
AUTHOR: Sobolevskiyq P.Ye. SOV20-130- 2-8169
TITLE: Tfi-eUse-of Fr'actional Powers of Self-adjoint Operators in
the Investigation of Some Non-linear Differential Equations
in Hilbert Space
PERIODICALt Doklady Akademii nauk sssR,196o,vol 130,Nr 2,
pp 272 - 275 (USSR)
ABSTRACT: The author investigates the non-linear problem
( - ) v' + A(i,v) - 0 (0 ..-: t . T);v(O) - v 0
in the Hilbert space H. Certain functions y - y(t) with values
in H are introduced so that a solution U(tjO; y) of the linear
prcblem z' + A(-t,y)z - 0 (O,'_'t~~T), z(O) - v 0 coxxespomds to
them. Tha existence problem for (1) is thus reduced to the
quesition whether -the ope-rator Uy - U(t'0; Y)vo possesses a
f-,xe,l point. At- first the author considers the linear problem,
uhere he essentially generalizes his former result CRef 7-7
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,3
The Use of Fraot~_onal Powers of Self-adjoint Operators SOV/20-130-2-8/69
in the Investigatior, ot" Some Non-.linear Differential Equations in Hilbert
Space
,2on,2erningp the existence of the solution in the homogeneous
,-aqe~~ Then ht investigates (1) with an abstract operator. The
general _--_SUIt3 are applied to parabolic equations with an
elliptic operator of 3econd order and with non-linear boundary
-:!ondit,~ons. The details are based on the use of fractional
-.pe.rator powers.
The aurl-'~- thanks M.A. Krasnosellskiy for the subject.
There -are c,; Soviet references.
A~;SOCIATIONi Voroneshslciy sellskokhozyaystvennyy institut (Voronezh
Ag-,icultural Instifixte)
PRESEYT~,,D: ;,~, oy A.N. Kolmogorov, Academician I'.
SUB."'ITTED-, September 17~ 1959
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69h98
S/020/60/131/04/12/073
AUTHOR: Sobolevskiy, PYe.
TITLE- rh-e-~Smoothness of Generalized Solutions to Navier-Stokes Eouations
PERIODICAL: Doklady Akademii nauk SSSR, 1960, Vol.131, No-4, PP-758-760.
TEXT: The author considers the linearized stationary hydrodynamic problem
(1) b'u(x) grad p(x)+f(x), div U(x) = 0 for xESI;
U(x) = 0 for x E F ,
where ~Jis a bounded open domain with a sufficiently smooth boundaryr'. Let
PI(x) = p(x) on r and Ap, = 0 inja .
Theorem 1: If Itis continuously differentLablo, theii
(3) p A171 div f-, + p
Theorem 2: Let f,1- L q >2. Then
(2) ui(x) = jGij(X,Z)f i(z)dz, p(x) 9i (x,z)fi(z)dz
is a generalized solution of (1); -the equations are satisfied almost every-
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69498
The Smoothness of Generalized Solutions
to Navier-Stokes Equations
-> 02 p C-V12' (D,); it holds
where; Uc- W, 2
(4) 11grad p 111,2 C(q) f>11L
U (q) 11 If
e C
W 2 Q
2
') -U,
If q >3, then p and -i~x -
Then the-author considers the
U
t VA?+ u k x =
k
(6)
--tinuous in~F2.
S/020/60/131/04/12/073
nonlinear instationary problem
grad p + f,
div U 0 for x E t >0;
7A t, X) 0 for x E t >,.,O;
6(0, x) ? (x) for x C-
0
The author proves the existence of a solution under weaker assuptions o n 0
than in (Ref.4). The author investigates how for t> 0 the smoothness of-?
J,Y
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69h98
The Smoothness of Generalized Solutions S//020/60/131/04/12/073
to Navier-Stokes Equations
increases.
Theorem 3: Let f t,x) in all variables satisfy the condition Lip rwith
y-> 3/4z Then-T and p (for t >0 are the classical eolutions of (6).
The form of the solutions of (6~ was considered by the author in (Ref.6).
The author mentions M.A.Krasnosellskiy, V~P.Glushko and S.G.Kreyn.
There are 8 references: 7 Soviet and 1 German.
ASSOCIATION: Voronezhskiy sel'skokhozyaystvennyy institut
(Voronezh Agriculturql Institute)
PRESENTED: December 9, 1959, by P.2-Aleksandrov, Academician
SUBIJITTED: December 9, 1959
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SOBOLEVSKIY, P. Ye.
Doc Phys-Math Sci - (diss) "Theory of fractional degrees of operat-
ors in Banach space, and its application in studying equations of
the parabolic type." Moscow, 1961. 20 pp; (Ministry of Higher
Education USSR, Moscow State Univ); 200 copies; price not given;
bibliography on pp 19-20 (23 entries); (KL, 10-61 sup, 203)

SOBOLEVSKIY, P.Ye.
Stabilization of solutions of nonlinear parabolic equations.
Uch. zap, AGU. Ser. fiz.-mat. i khim. nauk no.2:17-23 16l.
(MIRA 16:7)

3 1; 8 60
S/044/62/000/002/052/092
C111/C444
AUTHOR: Sobolevskiy, P. Ye.
TITLE: On equations of parabolic type in a Banach space
PEI'UODICILL; Ref(~rativnyy zhurnal, Matematika, no. 2, 1962, 109,
abstract 2B481. (-'Tr. Mosk. matem. o-va", 1961, lop
297-350)
TEXT: In the Banach space E one investigates the ordinary
differential equations with the initial condition
'1t=0 vo.
~ linear homogeneous differential equation:
A(t)v = 0
~ linear inhomogeneous equationt
A(t)v f(t) (2)
~ non-linear equation:
Card 1/~ t A(t, v)v f(t, v) (3)

SIOAA1621000100210521092
On equations of parabolic type . . . Cll~A444
In 2 one ixivejti6zte~; the equations (2) and (3) by aid of' the results
1. Tho formal solution of (2) ujay be written down in the following
t
V(L) U(t, 0) v + U(t, s) f(s) do (5)
0
0
in the c".,;e of the equation (5) an analogous formula leads to a non-
linear inte'-raii equation for the searched soluti6n. It is proved
that in cELse of f(s) satisfyinE; the condition Lip 3 , (5) defines a
function which is stronGly continuously differentiable for t > 0,
~;,,Lti~fying (2). Adjoinint; the properties of v(t) are carefully
illy,zf0ti"Ited undi--:1. dif!"frelit ~,uppositiollv oil Eupecially v(Q
::,rov,~s tc, be analytic uncer certain suppositions. With respect to tho
el-uation (5) one obtins zhe followin6 result:
Theorell, 7: Let A0 = A(O, V 0) be a linear operator with its domain D
boing donse in E. A 0 is assumed to satisfy (4) and its inverse operator
to be comp, [Ot,l) and all v from v R the operator
ztct. For all
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-/ -; '0-0 '002/0z2/092
S/04A '6-/ -
On e(iiiations of parabolic type . . . C 11 1/C444
A v) be defin~-,d on D, the functions A(t, A v) A- and
Ak 0 0 0
ft, A -', v) are to satisfy on this sphere the condition Lip i th
0 6 N
reLpec tto t and Lip ~ with respect to v, At least let v 0 D (A0
f a -2 a an d ~ A" v 11 --- R. Then there exi~i ts in a certain
- 0 0
intcrV41 LO, tol at least one solution of (3) being continuous for
and being continuously differentiable for 0, santis-
t 0 , *60_ U
fying the initial condition v t=0 ~ vo. If 1, then there exists
such cL i;olution even withoutithe supposition of the compactness of A-i
of
,then this solution ia unique and can be obtained by successive -appro-
ill � 3 the obtained results are applied to the investigation of
linear and quasilinear parabolic equations. For the latter one Droves.
a local 'theorem of existence (without ahy restrictions on the growth
of the CoeffiCientS).
I ~f-,
1-Abstracter's note: Complete translation.]
card 4/4

';OF'C)LE:VSKIY, IL S 4-) 1 -~~) 1 -41 -- v ~! ,j ) ..;
P, Ye. t u. I
k method of proving rionlocal existance theorems for parabolic
equations. Dop. AN URSR no.12:1552-1555 161. (KIRA 16:11)
1. Voronezhskiy sel'!3kold,.ozyaystvenny-y institut. Predstavleno
akademikom AN UlrSSR Yu.A. Mitropoltsk-im [YVtropol's'lkri, IU.O.J.

SOBOLLIVSKIYI P.ye.
Equations ot a para'~olic type in Banach space with an unboitnded
variable op*rator having a constant field of determination.
Dok-I. .-.N Azerb. SSR'17 no.6:447-450 161. (MIRA 14:8)
1. Voroni'Ohakiy se Iskoldiozyaystvennyy institut. Predstav-
leno akadeAlkam..AN Azerb,SSR Z.1. Khalilovym.
10irators (Mathematics))

8960-11
A
S/'02o16111361oO21Oo61O3.
16 3.rv C I / C --;z 3 3
AUTHOR: 89~
TITLEt Local and Nonlocal Theorems of Existence fo-r Nonlinear
Second-Order Parabolic Equations
PERIODICAL: Doklady Akademii nauk SSSR, 196i, vol. 136, No. 2,
pp~, 29~-205
4 - -,
TEXT: Let Abe a bounded domain of the m-dimensional space with
the boundary S. The author investigate--s the existence of the
solution of
(1) vt - a vx' ) V11 L(t.x,v,vI vt
ik(t'x'v'v;l' m xixk x1 xM
which satisfies the initial condition
(2) V(O,X) = v O(x)
and one of the conditions
(3) V(t,.C) = 0
or
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8 9 60 3
S/020/61/136/002/006/034
C 111/ C 333
Local and Nonlocal Theorems of Existence for Nonlinear Second-
Order Parabolic Eauations
a tjxjvjv 1"-, vxl vxl cos (n.x + 6'(t,x,v,vl 1,-, V, )V=O
ik( X, k x x
n is the normal vector to S. The author assumes that S and all
functions in (1) and (3) are sufficiently smooth and that the form
aik ~i Yk is positive definite, while the function E- is nor-negative.
The problem (1), (2), (3) is reduced in (Ref.2,3) to Cauchy's Dro-
blem for the ordinary differential equation
(4) v1 + A(t,v) v = f(t,v), v(0) = v0
in L (A), If v belongs to a certain set, then A(t,v) is a linear
oper9tor in L (JI) which is defined by the elliptic differential
expression p
(5) - aik 7~11xik
and by one ol' the boundary conditions
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89603
S/020/61/136/002/Oo6/034
C ill/ C '333
Local and Nonlocal Theorems of Existence for Nonlinear Second-Order
Parabolic Equations
(6) z - 0 or az zx, cos (n,x ) + 6'z - 0
.Lk k i
(the a and lYdepend on t,x,v,vf.),. The theory of equations in the
ik xi
Hilbert space with positive-definite self-adjoint operator developed
in (Ref.3) can be transferred to differential equations (4) with
such operators. The author shows that from the priciple of Schauder
it follows the locai theorem of existence for (4) and the local
theorem of existence for the classical solution of (1), (2), (3).
If an apriori estimation
00) sup 11 A~(t.v) v1', C (T)
0 < tK T p p
is possible for one then the nonlocal theorem of existence holds.
The author succeeds in obtaining such an apriori-estimation for the
simpler problem:
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1 89603
S/020/61/136/002/006/034
C ill/ C 333
Local and Nonlocal Theorems of Existence for Nonlinear Second-
Order Parabolic Equations
(11) V ' - a 11 + a,(t,x,v) vi. + a(t,x,v) = 0
and t ik(~'X) vX11ixk X
(12) v(t,x) = 0 or a (t.,X)V. cos (n,xi) + 6-(t,x,v)v = 0
-ik xk
The estimation has the form
(24) 1 A(t)4 S- F (T)
Lp - p
S. L. Sobolev, M. A, Krasnosellskiy and S. G. Kreyn are mentioned.
There are 13 references; 12 Soviet and 1 Japanese,,
EAbstracter's note: (Ref-3) is a paper of the author in Doklady Aka-
demii nauk SSSR, 1960, 130,D2 .
ASSOCIATIONs Voronezhskiy sellskokhozyaynstvennyy institut
(Voronezh Agricultural Institute)
PRESENTED: July 1~~160, by S~ L, Sobolev, A~ademician
SUBMITTED: July 1960
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'S 0
j S/020/611/138/001/00?/025
C !'~!/ C 222
AUTHORs Sobo-levskiy, P. Ye.
TITLE,, rarabc1l:. eauations in the Banach space with an un-
bounded -var-lable operator the fractional power of
which has a constant domain of definition
,PERIODICAL- Akadem.4ya nauk SbSR. Doklady, v. 138, no. 1, 1961, 59-62
Tl-;XTg The au"hor iransfers a Dart of his earlier results (Ref.l:
DAN, 123, no. 6 (7958)? Ref. 2s DAN 130, no. 2 (196o) to Banach spaces.
7 n january '95'? the auzhor rapc7-~!:d about the presen- paper in the Be-
mirar on funct_,ona'~ spa'_,ysis a~ tlbe Voroni;rli State University.
The authoz, consid,:-rs tte DrobIea-
d..? A(-.) -i = 0 v (1)
V\
twqere v is -hx2 s,:nivh~ function, t rT,.Tj~ with -values in the
Banach spa:e Ez A(.7) (0 T)--- ii-near operator in E;
d,F - - "-m-t value of the corresponding difference relation
_~71 deT ra.:.ve
CiLr-d -~4~

Paraboi.,.z equa,~Io." .:n. t.'R-e Banar-h
,with resper,*. t,~ %the n~~r-r of E)- For e-ery
d o in a -~ n -: f d e I I n., t i i~- n Dt, O"rerywhere
J-
R 9 0 1e t the opera A( I ha-,re
wh e r a
S/020/67'/138/001/007/023
G 'Ili/ C222
, O.S. ~J~O,Tjlpt A(t) have a
dens e in E - rir every ^" wi th
a bounded inverse operator
11 r (2)
I ; A(
Then frac-.ional powers of A(r) are defined (Ref.3, M. A. Krasnosell
3-iy, P, Ye, Sobolevak-,y~ DAN no. 3 f~q
_59)
Let ~,O..!) and ;' be iin .n,.ege.r so that C, e, !g (0,
L~e' Al~ (t)A- be bounded for a12 !6,T'j; let the operator
k A adm~-,~ the ~.,Icsure up to a bounded operator. Let
A A C t (3)
where C -.- 0, 'O,Tj and denotes each of the bounded
A A- A A '?'(t) A~'4 (r)
T A M
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23803
3'/020/61/138/001/007/023
Parabol-,c equations in the Banach C C 222
f then 1.t concerns only the second operator).
Theorem 1 a5aer-.s tha: there exi.sts an operator function U(t,,'~-) defined
for all 0 -,'. 7' t r- "I with values in the space of bounded linear
operators over E s.~~ that f,)-?- e-.'re:-y vF. (1 ) has a unique for all
t cont.-nuous and for continuously differentiable solution
'T, (6)
whe -_ e f 7V D A (1: h e e c tor f unn t i or- v_ ( t) is con tinuou s I y
differentiab`e and f or iat~isfies The author gives numerous
propertie, ani estimalions Po!- e.
U0_-::) is un--formiy cont,-nuous _;n 1. and `~_for all t;,T; U(t,t) 1,
and for all I t _d s
U lu U (4)
-i~* Tar iP~T it holds
f~~.- al-, d
-e-
(7)
A IU( )A (0
Card

23803
9/020/6i"38/00--/007/023
Y /;
P a r a bol -_-, -equ a 'I cr; .3 --n -he Bwv3c'~ '11/ 0 222
~4
A C U)*
t
(0
Th e n the p r o b,
d-g- A( T 7(0-1 7
d-r 1 0
ta considered.
Theorem ?t Let the vector functIon f(t) satisfy
f
0. T i C > 0; 0 1 (12)
Then for every 0 E
U
U(t,O) C, f(-,) dT' (13)
defines a unioue solution jof (It.) continuous for all t 0 and continuous-
ly differentfable for Jr '-w 0" 1 f D CA(Wthen v(t) is continuously;
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S/020/6-/'?'k 23603
.,8/001/007/023
Pafabol.--~ eWuv:.,cns :ri the Banaf;h C 222
There are i Sovtat-blcr, refei7ences,
A`,-'*,SOGjATTA0N~ Voran,~zh5kiy se'qsknkhozyaystvenuyy institut (Voronezh
A gr c v r a r s t, ti. t e)
;~,vESENTED.-. De,~embe7 6. '060. bY G, Petrovskiy, Academician
SUBMITTED- D--cember 7; 61)
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233Z7
S/020J61/138/002/009/024
C111/C222
AUTHORs Sobolevskiy, P.Ye.
TITLEx Evaluation of the Green's function for second-order parabolic
partial differential equations
PERIODICALs Akademiya nauk SSSR. Doklady-, v-.158, rke.2,1961, 313-316
TEXTt Let S-L be an open finite regi n of the n-dimensional space bounded
by a closed surface S of the class A?I ,~ ). Let x = (x 1 x2'-'xd. Let
a A (i,k - 1,2,.. n) and a(x) be defined on Let
and a(x) be continuous on TI and satisfy the Hd1der
Let 61(y) be defined and continuous on S. Let a ik(x)
the ?a ik(x)/"i Xn
condition in
= a ki(x),
a 2 for all I..., and a > 0
ri kk ik(x) en 0
i9k-1
a(x),> a > 0 and 6(y)> 0 . Let v (x) be continuous on Fi
0 0
The author considers the problem
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23827
S/020/61/138/002/009/024
Evaluation of the Green's .... CIII/C222
9V n D x
57 - z [ ai~,(,:) g-.,, + a(x)v - 0 (t>O, xE
i,k=l 9-x, I
lim a X) v coa x + qj(y)V 0 (t>0, YF-B) (2)
Z_ ik( y i
x4y i,k 1 -Xk-
me N
y
V(O,X) - V 0 (X) (x E: (3)
where 14Y vector of the outer normal to S in y.
The solution reads
V(t,x) G(t; x,y)v 0(y)dy (4)
where the Green's funct ion G(t;x,y) s is continuous in (0, oo X fL X
and in (0, co ) x Sj x S-I one time continuously differentiable with
respect to t and two times with respect to xg satisfies (1) and (2), is
non-negative and symmetrical with respect to x and y. Furthermore it holds
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Evaluation of the Greep-13 ...
23827
SI/020/61/138/002/009/024
A 2.,-,
uilixc 4
G ( t + y) G (t; X,Z)G( V; z,y,)dz
2
for all t, V > 0.
Theorem I s Lot t 0> 0 . If t G (0, to I then I t holds
S,(t r2,
O.:~G(t; x,.v)4 C(t exp 0 x t-,/2
t
if t>
"t then
Oj!~G(t;x,y):!5~C(t0)exp a ot
(5)
(6)
(7)
here C(t. 0 (to )>~O
Theorem 2 t Let JO E(o,-'), E06 (0, '/2) , V E [0, Y (0) E
if t e (0, t then
VV//
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23827
S/02%61/138/002/009/024
Evaluation of the Gn~enls ... Clill C222
.r- JG(t; X,Z) - G(t; Y?Z)I,<
xy
21 n+Y +f +
~(t E)r 2 2C li~ -
2
E 'exp r
C(t 1 9 1 ir.n (8)
0 0
where r = miii. r r If t> t1len
x t0
r 4G t, x, z 0( t, y, z) C (t,,, )lo) exp a.t (9)
xy
Theorem 3 g Let e(,Y') SEI U3
1 13' (y I) - T(y 2) 1 ~6 (' yl- Y21h(C.-,~-O, 04-1141) (10)
if t r= (o, t 01 then G(t; x,
Card 4/9

~-)U e t
S/020/61/138/002/009/024
Evaluation of the Greents C111/C222
n+1 +, 1
2 _ j+
S(t E)r 2 2
C(t exp 0 t r-2t , t
0 t min xy
If t;Z>t0then
I ~ G(t;x, y)14 C(to)exp I- aot (12)
?xi
for the mixed derivatives it follows with the aid of (5) 1
2- G ( t; x, y)
xiTyk E+2 +,
X n+2
:!~C(t E)exp 0 r2 min t 2 r-26 , t 2 (13)
0 t xy xy
for t C(O't0
Card 5/9

23827
S/020/61/138/002/009/024
Evaluation of the Green's ... cl,1.4/C222
32 G(t; x Y)I,< C(t )exp a tj for t>,to (14)
x Yk 0
Theorem 4 1 Let (10) be satisfied..-L"et );~0 e (0, min hj) and
.P C [0, If t E (0, then
') G t x, -2- G t'; y, z (16)
rX11 "Xi n+I+Y n+I+Y
y Yi
C (t , >) , Eexp ~(to 0 E)r2 min t 2 r- 2E 't 2
0 0 t I f I V~
where r - min r r z3. If t ~t then
~ xz y -~, o
G( t-,x, z) - ~*-' - G(t;y, z)l !~C( to, 90)exp aotj (17)
x ; -xi yi f -
Since S G AO there exists an r 0>0 so that for every x4afZ being
Card 6/3

23827
S/020/61/138/002/009/024
Evaluation of the Green's C111/C222
distant from S less than r 0 there exists a next point p x CrS obviously
xEN . Let
PX dv n a ?v Cos X
dT z ik(x) 7x- p i
PX i,k-1 k x
Theorem 5 z For tlr=(o,tol it holds
d G ( t; x, y)
dT
PX 1 +1
2 E.- -e
C ( t 0 e xp ~(to9F-)r Min t r-26 Y t 2 (19)
f t XY
For t >
,,t it holds
d G(t;x, y)I::!~C(to)expf- a t (20)
Card 7/9 dT PX 0

23827
S/020J61/138/002/009/024
Evaluation of the Green's ... C111/C222
Theorem 6 s Let 9 0 E(Op ) 0 9 E [09 .90] . If tr.(O,to] then
I -d
r-
G(t;x, z) -2 G(t; y, z)1 4
xy ~-T
PX ~T py
2 n+l+y +E n+1+.9
~(t ?V E)r 2 -2E 2
0 0 1
!~-C ( t0, v0, E) e xp - -t - min t t (21)
where r = min r r If t>
f XZ9 Y& ,0 then
G( t; x, z) - 7-fL G( t;y, z) 4!~ C( toty )exp a t (22)
Ay I-T
"I PX py 0 0
Theorem 7 : Let x,y,z eS and
t 6(0,t.1 . Then it holds
Card 8/9

23827
S/020/61/138/002/009/024
Evaluation of the Green's ... C111/C222
d 0 (t; X, Y)
W.-
6 Ys. a) r*;, M+I-L +a
< a) exp -1 1 -min it- a r;,,29, t (23)
_�_ 0 (t; x, z) _ d 0 (j; Y, 2) 1 <
dT. (24)
< C (to, Vo, exp (10. VO, 6) rI minft-
t rXIF
where r min r r ?
~ xz yz5
The given estimations can be applied for the investigation of fractional
powers of elliptic operators.
There is 1 Soviet-bloc and I non-soviet-bloc reference.
ASSOCIATION: Voronezhskiy sellskokhozyaystvennyy institut (Voronezh
Agricultux-a-1 Institute)
PRESENTED: December 8, 1960, by I.G. Petrovskiy, Academician
SUBMITTED: December 7, 1960
Card 9/9

MAZIYA, V.G.; SOBOLEVSKIYy P.Ye.
Generating operators of smigroups. Usp.mat.nauk 17 no.6j
151-154 N-D 162. (MM 1611)
(Operators (Mathematics)) (Groups, Theory of)

SOBOLEVSKIY, --P-.Y-e.
Green's functions of elliptic operators 99 any power
(including integral powers). Dokl. AN SSSR 142 no.-4&804~
807 F 162. (KM 1582)
1. Voronezhskiy sellskokhozy#qstvennyy institut. Predstavleno
akademikom I.G. Petrovskim.
- Potential, Theory of)
Merators(Mathematics))

KRASNOSELISKIY-~'kM.A.- SOBO~:~KIY P.Ye.
Structlihre of a set of solutions to parabolic equations. Dokl.
AN SSSR 146 no.1:26-29 S 162. (mm
1. Voronezhskiy gosudarstvennyy universitet. Predstavleno
akademikom I.G. Petrovskim.
(I~ifferential equations) (Operators (Mathematics))
PrAY

S1020162 1'146/004/003/015
B112/B186
AUT!'-OR: Sobolevskiy, F. Ye.
ITLE Seooti,I-ordor "ifferential equations in Banach space
nau:k 3SSi, Dokllady, ;-. 1-16, no. 1962, 7f'7,'e '177,
W EXT The nroblem v" -# A(t)vI 4 3(t) - f(t) (L)-r---0 at the derivative v" W are considered. Tne
solution of the latter one is shown to tend to tile solution of a
degenerated ftrst-order equation. The method applied is different from
that of B. :ilityagin (Izv. AN AzerbSSR, ser. fiz.-matem., No. 1 (1961)).
0
ASSOCIAI-ION: Yoronezhskiy sel'skokhozyaystvennyy institut (Voronezh
Z'~6=icultural Institute)
"HE S--"1T'1--'
D: Larch 2B, 1962, by I. G. Petrovskiy, Academician
SUB.',IITTED: IAarch 27, 19062
Carl 2/2

rreth,~It e~f fracij,~ nal powers ,)f' operators in analyzing
TIM"
yayst-7ernT
:in~ zh s' S 1 3 k r.z Jnst'--u'.

f
SC,Pk)i,FV3K.IY, il.Ye.
Stud%r of Navier - Stokes equations using ipieLhodu of the theory
of P~rabalic equat;ions in Banac,-, sraces. Dokl. AN SSSR 156
1 ( '- ~ T ZL,' I-
no. 4:745-74P) ~e 64.
1. FredstRvl~-no akadenikom S.L.Sollclev~rm.

structare of a set
U'kr, mat. znur. 16

SOBOLEVSKIY, P. Ye.
Goercitivity inequalities for abstract parabolic equations.
Dokl. tJJ SSSR 157 no.1:52-55 J1 t64 (MIRA 17:8)
1. Predstavleno akademikom I.N. Vekua.

SOBOIZTJSKIY, P.Ye.
Generalized solutions to first-order differenUal equations
in Banach space. Dok-1. AN SSSR 165 no-3:486-4,89 N 165.
(MIRA 18:11)
1. Voronezhskiy sellskokhozyaystvennyy institut. Submitted
April 12., 1965.

~,13!Xl, ,. 1.
7, :- . 1,, 2:ri~r.
II Di -- LC~10-1., . .
3co,07,~~.t~c,n c),~, L,,,,_i in C:la:3s Pro-iu. " " T - f

a it r, 11 W ts 1, L
-A-
V, I
t
it U a u a
v u 4 is J6
The de*A*djm%e* ad wed alifo,
p,,m.
0. saher. r4;kayg brkdv.
of 11'r a NI 14
- - -------- -
LITERATUAt CLASSWKATtOM
dot
0 U n &I w3 li; 4
ft ti It At K d it ME A a it 9
100 0 0 0 0 0 0 0 0 0 0 40 0010
9
ff-r Val
j0 1 9 a rld 0 IS It
0 0 0 0 9 IOA

GINZBURVr. D.B.; FIGUROVSKIY. I.A.; SOBOLEVSKIY, S.I.
Efficiency promotion of the gas supply system at the Gusev
Crystal Class Works. Gaz.prom. 4 no.9:22-26 S '59.
(14IRA 12: 11)
(Gusev--Glass manufacture) (G!x! producers)

SAVONICHEV., G.V.; FIGUROVSKIY, I.A.; SOBOLEVSKIY, S.1,; BYKOV, V.V.
Preparing lead crystal in a pot furnace. Stek.i ker. 18 no.5:9-11
my 161,- (Glass furnaces) (14IPA 14:5)

1"W4~L_nya M~Y_'
i~ D L L V
1J5SR/_---ncinecrinc, Z,'easurin& Instrwnunts
Card 1/1 rub. 103 - 9/2-5
Authors 9, Vinokuralkiy. S. A., and Scbolovskiy. S. V.
Title t V-166 instrument uzzed for,measurin- the thickness of coatinvs
PeriOdical I Stan. i instr. 1, paCi 25, Ten 1955
Abstraot I The 1,11-Union Scientific Research Institute for Medical Instruments and
Equipment. deEiened and construe-ted a new-type of instrument for
measuring the thickncss of anti-magnetic coatings on maGnetic metals.
A description is presented of the above mentioned instrument,
together with technical date. Illustrution.
InstitUion
Submitted

I--- ~'. /.-' f . ; I,/ '. ~II . I
.- - i I
VIKOKURSKIY, S.A., SOBOJZVSKIY, S.V.
"
The IMU-1 instrtiment for measuring the power of ultrAsonic wmtveB.
Priborostroe:nie no-11:30 N '56. (MLRA 10:1)
(Ultrasonic waves--Measurement)

VINOKURSKIY, S.A.; SOBOLEVSKIT A~-
Devices for controlling the thickness of a conting (B-22 and B-21)
Med.prom. 12 no.4:46-50 Ap '58. (MM 11:5)
L Vsesoyu2nyy nauchno-iseledovatellskiy institut meditainskogo
instrumentariya i oborudovaniya.
(BLECTROPLAT ING)

VIllORT4'iY,lY, S.A.; SO,B-O'UVSKI-Y, S.V.
Inatrumenta for --easuring tho thickneas of coatlngn. Stan.1 inutr.
2.9 no.5:38-39 My 158. (MIRA 11:7)
(Magmetic instruments)

PAVLOV, N.V. inzh.; RASM-11 I.I.A. inzh.; SOBOUIVSKIYp S.Yu.,
J, y 2 - inzh.
layoul -f an exposed BF-Z .160-10OF boiler unit operating on
-vul-vel-ized coal. Energomashinostroenie 7 no.4:35-37 Ap f6l,
(MIRA 14:7)
(Boilers)

SOBOLEVSKIY, T.F. - -
Some characteristics of the occurrence and cost of gold.
Kolyma 21 no.1:37-41 A '59. (MIRA 12:6)
(Gold mines and mining-Costs)

~10,"T- 711, %T, T
"0 X 0, - o eol
I.T.
D M : Unclass.
-mh-" Part 1, 1.951, Uncl,
SO: ir, 1011-1-et, ('Ieorr-r "I k,

SOBOLI:VSKIY. V.I.*, FAVLITSKiLTA, Ye. I.
~
[How to prospect for fluorite] Kak iskat' fliuorit. Moskva, Gos.
izd-vo geol. lit-ry, 1952. 23 p. (KLRA 7:3)
(Fluorite)

SOBOLEVSKIY, V.I.
-1
rief course in descriptive mineralogy] Kratkii kars opisatellnoi
mineralogii. Moskva, Mosk.gornyi in-t im. I.Y.Stalina, 1957-
161 p. (MUU 11:7)
(Mineralogy-Classification)

NAKHIMZHAN, Oskar Emzich; SOBOLEV"SKIY, V.I., kand. geol.-miner. nauk,
red. ; MANOLE, M. I. ; red. ; PLAKSHE,
L.Yu., tekhn. red.
(Dictionary of mineralogical terms in fiTe languages]Piatilazych-
nyi slovarl mineralogicheskikh natvanii. Pod red.Sobolevskogo,
V.I. Moskva, Glav.red.inostr. nauchno-tekhn.slovarei Fizmatgiza,
1962. 347 p. (MIRA 16:3)
(Dictionaries, Polyglot) (Mineralogym-Dictionaries)

SHLIPPE, Sergey Aleksandrovich; SITITSBA, Yekaterina Fedox-ovna;
S30BOa-vs
2~-NS~K~, V.I., kand. geol.-miner. nauk,, red..; MURONETS,
-1.I., red. izd-va; KOLGIIAIIOVI V.P., spets. red.; PLAKSAS,
L.Yu.., tekhn. red.
(Geman-Russian geological and mineralogical dictionary]
Ifemetsko-russkii geologo-mineralogicheskii slovar'. Pod
red. V.I.Sobolevskogo. Moskva, Fizmatgiz, 1962. 472 p.
(IMU~ 15:11)
(German language-Dictionai,ies--Ruopian)
(Geologj--Dictionaries) (Mineralogy-Dictionaries)

8(6)
SOV/112-59 -5-85 12
Translation from: Referativnyy zhurnal. Elektrotekhnika, 1959, Nr 5, p 16 (USSR)
AUTHOR: Sobolevskiy, V. M.
TITLE: Elastic Stressed State of an Anisotropic Round Cylindrical Pipe in an
Anisotropic Elastic Medium, the Pipe Being Subjected to an Internal Pressure,
an Axial Force, and Radial-Heat Flow
PERIODICAL: Dokl. AN BeISSR, 1957, Vol 1, Nr 3, pp 83-88
ABSTRACT: A theoretical investigation of the problem is submitted.
Card III

SOV/124 -58-4-4548
Translation from: Referativnyy zhurnal, Mekhanika, 1958, Nr 4, p 125 (USSR)
AUTHOR: -Sobo1e-,,_-_k-i_F.V- ki.
TITLE: The Elastic and Elastic-plastic State of Stress in a Round
Cylindrical Pipe in an Elastic Medium Under the Action of
Internal Pressure, Axial Force, and Radial Heat Flow
(Uprugoye i uprugo-plasticheskoye napryazhennoye sostoyaniye
krugovoy tsilindricheskoy truby v uprugoy srede pod deystviyem
vnutrennego davleniya, osevoy sily i radiallnogo teplovogo potoka)
PERIODICAL: Uch. zap. Belorussk. in-t nar. kh-va, 1957, Nr 3, pp 207-Z52
ABSTRACT; The paper investigates the elastic-plastic deformation in an
isotropic cylindrical pipe in an elastic medium, subjected to the
action of a uniform internal pressure, an axial force, and a tem-
perature which is the function of the radius. The cases of a
Hooke-type medium and a Winkler-type medium are analyzed.
The solution is based on the assumption that there is one zone of
plastic state next to the interior surfac*e of the pipe.
1. Pipes--Stresses 2.'Pipes--Elasticity 3. PV.71. Lom,kin
Card 1/1 --Deformation 4. Pipes--Temperature factors
5. Pipes--Test methods

SOBOLEVSKIY,;v *M.,.,.", - .
, - -
Elastic and elastic-and-plastic strained conditions of a hollow
spere in an elastic medium under the action of inside pressure and
radial heat flow. Izv. vys. ucheb. zav.; energ. no-3:103-110 Mr 158.
(MIRA 11:5)
l.Belorusakiy institut narodnogo 1-.hozyay8tva Imeni V.V. Kuybysheva.
(Elastic plates and shells)

AUTHOR: Sobolevskiy, V-Y. SOV/170-59-3-7/20
TITLE: Elastic and Elastic-Plastic Strained State of an Unevenly
Heated Revolving Circular Cylindrical Pipe (Uprugoye i upru-
go-plasticheskoye napryazhennoye sostoyaniye neravnomerno
nagretoy vrashchayushcheyaya krugovoy tsi1ixd:Ach(-.3!-qj truby)
PERIODICAL: Inzhenerno-fizichaskiy zhurnal, 1959, Nr 3, PP 52-61 (USSR)
ABSTRACT: This is a report delivered in the institution mentioned be-
low (see Association) on 12 April 1957. The author investi-
gated the elastic and elastic-plastic strained state of a
circular cylindrical pipe revolving with a constant angular
velocity and being subjected to a uniform internal and ex-
ternal pressure, an axial force and a radial thermal flow.
The pipe is in anelastic state. up to certain limiting values
of the angular velocity, pressures and temperature differ-
ences. At sufficiently high values of these quantities a
plastic zone arises within the cross section of the pipe.
At a further increase of them a purely plastic state of the
entire cross section sets in, and the pipe can function only
under condition of reinforcing the material. The author de-
rives formulae for the reinforcement function and radial and
tangential stresses in the pipe for the cases when its ma-
terial obeys the general law of reinforcement or the linear
law of reinforcement beyond the limit of elasticity. The
Card 112 formulae derived hold for any temperature function varying

SOBOLWSKIY. V.H.
State of elastic and elastopolastic stress in an unevenly heated
rotating circular cylindrical tube. Vestsi AN BSSR. Ser. fiz.-tekh.
nav. no-3:119-128 '59. (MIRA 13:3)
(Elastic platee and shells)

~q/124/60/000/003/016/017
A005/AOCI
Translat'on from~, Referati~rnyy zhurnal, Mekhanika, 1960, No, 3, pp. 114-115,
3757'
UI.TDF, Sobol-evskly, V, M.
U~ lh~ Elastic and Elastic-PlastIc o tr 9. Hol -I ow Spj:Iere~ :;,--n
a~ - 'S, lennal Press-,_-z-_r azA Radial
in EI-_ ;Ll~ M.,dti= 'Unde:, the Effe in
S-~,,~ady Feat FE i,-,w
R7 D'A_ U_-t, Zal), in-ta nar, kh-va, 1,959, No, 5, pp, 191-211
!n-_ autho-_, cor_~~iders a sDe-jial casep of t,12- croblem, solved bq him
e~~ iIzv, -,.rys~ih. ucheb-p-, zaveder-fy. _%srgetika, 1958, No, 3, PP, 103-110
FZIII~_kh, 19~59, No, 1, p~ 800), on the elasti,? and _-lasti,-plas`,_43 stress stat=s
bollow sp),_-z-re In an elastic medium under the effe- of int '&rrnal pressure.
az~j _-adlal -_4isteady heat flow, This special case is the case of a -zleady heat
I'Low, The equation c;f heat; -~onductlvit.y fol, this spe-_.-.Ja.1 ca2e- - in'-. ~-, g, r. -A+, -3!d
jzd~_r the following boundary c-ordi',Ion_z,,, Tr,ne temperatures at. the lnt~:lnil -~Lnd
~-xT. .~rnal slz.rfaces cf, the sphere -and 0-ie -.~Inparatire at, an azbitrary.
_.ard 11/2

3/124/60/000/003/016/017
A005/AOOl
T'he Elastic and Elastic-Plastic Stress State of a ffo!Jcw Sphere in an Elastic
Medl,= Under the Effect of Internal Pressure and Radial Steady Heat Flow
of the elas'.i.~ medium are given. The formulae obtained for the temperature
distribution function In the sphere ard In the elastic medium were inserted into
formulae derived In the author's previous work for the stre,--ses in the hollow
spheres and in the elastic medium at purely elv-tstlc and elastic-plastic states
of the sphere, The ooQling of the external elastic medium caused by the Internal
med.lum inside the hollow sphere is considered. It is assumed that the cold
period, in the course of which -the temperature of t-he medium within the hollow
sphere is kept constant, is limited, The dependence of the cooling zone radius
of the elastic medium on the duration of -the cold period is found, A graph of V46
this deuender%~_~ is plot-ted, A numerical example of thie stress calculation is
given, The fomilae for calculating the stresses inside the elastic spaGe
zurro-=,ding the sphere hollow are added, which pertain to the elastic and
elastl-_-plaztdo 5treez states. A nume-rical example is given,
I. N. Danilova
Card 2/2

SOBOLEVSKIY) V.M,
Some cases of integration of an ordinary differential equation
describing the stressed state of an anisotropic and nonuniformly
heated disc. Vestsi AN BSSR. Ser. fiz.-tekh. nav. no.3:17-22 162.
(MIRA 18:3)

SOBOLEVSKIYP V.M.
Some cases of integration of an ordinary differential equation describing
the stressed state of an anisotropic inhomogensous nonuniformly heated
hollow sphere. Vestai AN BSSR. Ser. Fiz.-tekh. nav. no.2:20-29 163. ,
(MIRA 17:1)

AID P - 4o42
Subject USSR/Power
Card 1/1 Pub. 26 - 31/31
Author Sobolevskiy, V. V., Eng.
Title Ioffe, Ye. F. Operati#naya rabota na podstantsiyakh
vysokogo napryazheniya (Operation of high-voltage sub-
stations) Gosenergoizdat, 1954. (Book review)
Periodical Elek. sta., 11, 62-64, N 1955
Abstract The author reviews this book on duties and functions of
substation personnel and criticizes strongly errors and
incorrect statements made. The reviewer also makes some
suggestions on possible improvements in the book and
recommends its revision and re-editing.
Institution : None
Submitted : No date

14(5)
SOV/92-58-8-15/36
AUTHOR: Sobolevskiy, V.V., Senior Engineer
TITLE.- Cerieq~lng of Boreholes in Siberia (Tsementirovka skvazhin
v usioviyaldi~ Sibiri)
PERIODICAL: Neftyanik, 1958, Nr-8., p 19 (USSR)
ABSTRACT: The author states that under Siberian winter conditions
it is not practical to use tbnventional borehole cementing
equipment mount-ed on a heavy duty truck. There is always the risk
that the truck may be blocked by heavy snow, and that the trans-
miticing lines of the equipment, may freeze. Therefore engineers
often perfer to carry out the cementing operation by using the pumps
.of a rig. However, the use of these pumps creates additional
difficulties and complicatedithe operation. In the opinion of the
author it would be desirable to build a cementing unit mounted on
two sleds, one sled for carrying engines anq pumps which are
covered,, and the other for carrying the 15-20 m~water tank. The
Card 1/2

C-,~irnenting on Boreholes in Siberia SOV/92-58-8-15/36
mixer and the receptacle may remain outside during the operation,
while tbhe sleds have to be placed close together. The suggested
unit must be able to generate a pressure of 150 atm-
ASSOCIATION: Tobol'skaya nefterazvedka (The Tobollsk ProspectIng
Off 13 9 )
Card 2/2

-_ S08OLEVSKIY, V.V.
Industrial production of well rigs, Neftianik 7 no.4:7 Ap 162.
(MRA .15:11)
1. Nachallnik proizvodstvenno-tekhnicheskogo otdeleniya Tyumenskogo
geologicheskogo upravleniya.
(Tyumen' Province-Oil well drilling rigs)

SOBOIZVSKIY, V.V.
Results of investigating gas liberation in mining sections
with heavy loads at the face, Izv. DGI 42:189-10/6 t64.
KERA 18:11)

BLASYAKO Ye.; IAYDLER, K.; PAVLIKOVSKIY~ S.; sOBOISVSKIY, Ya..- SOBOIEV-
SKIY) L.j POLYAKOVy N,N. (truniqlatorh AVT81~- ~f:le.,'red.j
I I
BENIKOVSKIY) S.V.) red.; KOGAN, V.V., tekhn. red.
[Technology of fixed nitrogen; synthetic a=onial Tekhnologiia
sviazannogo azota; sinteticheskii azmiak. By E.Blasiak i dr.
Moskva, Gos. nauchno-tekhn. izd-vo khim. lit-ry,, 1961. 263 p.
(MMA 14: 10)
(Ammonia) (Nitrogen compounds)

S~~ evgeniy Alekaeye-NjDb,~__~STINOV, Aleksandr Dmitriyevich
Ldeceased]; SnVALLOV, A.F., otv. red.; NOVIKOVA, Ye.S., red.;
YARKOCR, X.G., te-khn. red.
[Signal distortion in radiotelegraphy] Iskazlieniia signalov na
radiotp-leg--rafnykh svia2iakh. Moskva, Gos. izd-vo lit-ry po vop-
rosr-r. sviazi i radio 1962. 129 p. (MIRA 15:2)
Nadiotelegraph)

IVANOV2 G.Y., in-zh.; SOBOLEV.SKIY, Ye.A., inzh.; ALTUNIN, V.I., inzh.
Determination of the frequency bandvi-dth of the rise and fall
of a signal with respect to tiine. Vast. sv-iaz-, 24 no.12.16-8
D '64 (MIRA 18:2)

f7,
PaASE I BOOK ZeLolTA-11ION 635
Makarochkin., Mikhail Fedorovich, Doctor of Technical Sciences and Sobolevskiyp Yu.A.,
Candidate of Technical Sciences
Fundamenty pod mashiny (Foundations for Machinery) Minsk, Goo. izd-vo ESSR, 1958.
113 P. 3,000 copies printed.
Ed.: Chernyak, I.; Tech. Ed.: Karpinovich, Ya.
PURPOSE: This textbook is intended for students specializing in construction
engineering, and for engineers, and builders.
COVERAGE: The textbook presents essential information on problems in the design
and construction of foundations for impact machinery, machines employing
crankshaft mechanism, and turbines, A brief outline of the theory of vIbra,
tion in foundations on a solid base is included and a classification of 96119
(including their properties) necessary for calculation of loads and stresses
is presented. There are 30 Soviet references.
A ---11 5--- ~

SOBOLEVSKIY, Yu.A., kand. teldin. nauk, dots.
F~ffect of h7drody-namic pressure on phvaical conditions of slopes
of irrigation canals. Sbor. nauch. rab. Bel. politekh. inst.
no.77-.3-22 '59. (MIRA 13:3)
(Irrigation canals and flumes)

:e are tc-,,mrd
r. 1 (Szklo I Cemrilcc- Vol. 0', no. 3, Far. 19,57. Wlrs--,lw-q, Foland)
1-'cnthly Inv-lex cf East European Accessions (Ehil,) I,C- "Tol. 7, no. 2,
Fobrua:-
y Y

SCIBCILEWSKAj M.
SCIENCE
Periodicals: KOSMOS. SERIA A: BIOLOGIA Vol. 7, no. ik., 1958.
SOBOLEWSKA, M. Oxygen as an indicator oftm2perature changes in the
Quaternary period. p. 559.
Monthly List of East European Accessions (EEAI) LC Vol. 8, No. 4,
April 1959, Unclass.

SOMIXISKA, - ~: ~ ''
Epidemics of di -phtheria during the past year. Pediat. :vlaka
26 no. 9:1043-1044 Sept. 1951. (C-U4J, 21:3)

RZUGID140, L.;RUMI, E.L~~~~TROWsKj, j.
Antigenic Wassermann component in phosphatides of Wcobacterium
tuberculosis and saprophytic bacilli. Med. dosw. mikr6b. 5 n0-109-49
1953. (CLKL 24:5)
1. Of the Dermatological Clinic of Warsaw Medical Academy and of the
Inetitute of Dermatology and Venereology in Warsaw.

RZUCIDW, L.;RUDZKI, B.;CYARNUSZEWSKI, Z.*,!HOBOIEWSKA, M.
=MEW
Behavior of nhosphatidee in Mycobacterium tuberculosis in reaction with
sera of tuberculous patients. Mod. donw. mikrob. 5 no.2:223-230 1953.
(CIML 25:1)
1. Of the Institute of Dermatology and Venereology in Warsaw and of the
First Dermatological Clinic of Warsaw Medical Academy.

ZWIFM, J.;DURIAKOWA, I.;LOBOIZINSKA, M.;SOBOIMKiL, M.
Comparative fftudies on serological methods used most freqtLently in
diagnosis of leptospirosis. Mad. dosw. mikrob. 5 no.2:231-236 J953.
(GIML 25:1
1. Of Wroclaw Branch of the State Institute of Hygiene; Leptospirosis
center.

S0B01.EW8!r'A, Maria
SOBOLEWSKA, Maria; DYNXR, Eugenia
Preventive application of chloromycetin duxing the epidemic of
whooping cough in a nursery. Pediat. polska 29 no.5:537-.541
May 54.
1. Wykonano pod kierunkiem prof. dr mod. J.Bogdanovicza Kierownika
Kliniki Chorob Zakaznyeh Wisku. Dzieciscego A.M. w Waresavis.
(WHOOPING COUGH, prevention and control,
chloramphentool)
(CHLO~INICOL,
prev. of whooping cough)

SOBOUNSKA, Karia
A case of peptic ulcer in 8-year old boy. Pediat-Polsks 30
no.2:157-158 Feb '55.
1. Z Misjokiego Szpitala dla Dzieci Xr. 1 v Warssawie. Dy-
rektor: prof. dr mad. R.Stankiewicz. Warssava, Glogera. 6 m.
10
(PEPTIC ULCER, in infant and child
diag. & ther.)

GLOWACKA, W.; SOBOLEWSKA, S.
-
Webster-Habel's method of standardization of anti-rabies vaccine.
Hed.do9w.!Rkrob. 2 no.2:304-305 1950. (GIML 20:6)
1. Summary of the report given at 10th Congress of the Polish Mi-
crobiological and Epidemiological Society held in Gdansk, Sent.
1949. (Warsaw.)

RZUCIDLO, L.; RUDZKI, E.; STACHOW, A.; RACKINdICZ, I.; SOBOLEWSKA, S.
Research on the increase In pathogenicity for mice of Salmonella
typhi and Staphylococcus aurous under the influence of yeaatlike
fungi or voast zymosan. Mad. doaw. mikrob. 9 no.2:125-130 1957.
1. Z Instytutu Dernatologii I Wenorologii w Warszawis I
Warazawskiej Wytworni Surowic i Szczopionak.
(SALMONELLA INFECTIONS, expor.
off. of yeastlike fu I & zymosan on pathogenicity of
S. typhi ia nice (poll)
(MICROCOCCAL INFECTIONS, expor.
off. of yeastlike fungi & zymosan on pathogenicity of M.
pyogenes aureus in mica (Pol))
(YEASTS
zymosan. off. on pathogenicity of Micrococcus pyagenes
aureus & Salmonella typhi in mice (Pol))
(POLYSACCHARIDES, off.
zymosan an -pathogenicity of Micrococcus pyogenes aur*us
Salmonella ty-pbi in mice (PoM
(FUNGUS DISEASES, exper.
Pff. an pathogenicity of Micrococcus pyogenes aurous &
Salmonella ty-phi in mice (Poi))

-RZUGIDI#O, L.; ZMACKIEWICZ, I.; SOBOLDISKA, S.; MAIMOWSKA, H.; STACHOW, A.
NMMMMMP~ -
Quantitative determination of mouse pathogenicity of Salmonella
using zymosan as an immunity-docreasing factor. Mod, dow. mikrob.
9 no-2:131-139 1957o
1. Z Warssawskiej Wytworni Surowic I Szczapion*k I Instytutu
D*rmatologii I Wenerelogii w Warazawis.
(SALMDNELLA I "I" CTIONS, imrfiuuol.
quantitative determ. of mouse pathogenicity of Sal.
typhi usimg zymosan as immunity-docr*asing factor (POW
(YFASTS
zymosan, use as Immunity-decreasing factor in quantitative
detorm. of pathogenicity of Salmonella ty-phi in mice (Fol))
(POLYSACCHARIDES
same)

SOBOUWSKI, E.
Some remarks concerning the production znd quality of welding equiTment. p. 238.
(FRZE;ai~D Vol. 8, no. 9, Sept. 1956, Warsza;-.,a, Poland)
SO: Monthly List of East European Accessions (EFAL) LV. Vol. 6, No. 12, Dec. 1957.
Uncl.

m0
so MechanCW
- --.tn:7=~Un
2.1 np. 2 tba.
NumWr of revolutkons. Superhe--
t,o ellmin-l" C"
,,,.r- InIlt Stearn PC"-Usrued.e vz1veS. Tendency -cAr erillineS.
nsumptton of Slearn.,ne,. marine engines. Motor
ling. CO rWjLtion. Med eng
linder lub

-it.
11. The problem of dynamics of railroad tr~.nsportation. P. 31.
Vol. 8, no. 3, Mar. 1956. i-R-'7'--,GL,-*D KOLEJaWY. Warszawa, Poland.
SOURCE: Ea.-t Suropean Accessions List (FEAL) LC VOL. 5, No. 6 June 10,56