SCIENTIFIC ABSTRACT FR:BEREZANSKIY, Y.M. TO:BEREZA, V.S.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000204800027-6
• Release Decision: RIP
• Original Classification: U
• Document Page Count: 13
• Document Creation Date: November 2, 2016
• Sequence Number: 27
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTR

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i
Energy Inequ$litl.es ;for Some Classes of Muted S C20 60 ~003~
TYPe Equa~ian~ ` ~ ~ 32~C3~Ot~f~64
I!(1 +~x2�2b[v~ `~o ;r c qv I) . This inequality is suf~i
+ cient in oxder to
Prove the existence of the Weak solution u of the considered aerod.ynamia
boundary value prQb1~-m with, the seoondary cahdition
I u ~2 dx
There are 9 :references s
ASSOC~ATIQNs Inet~.tut ~n
Institute
PRESEI4TEDs December 299
SUBMITTEDa December 259
Card 3~3
2
5 Soviet and 4 American.
atematiki lkade~mii Houk IIkr SSI~
of Mathematics AS IIkr SSR)
19.59: by S.L. Sabolev9 Academician
X959

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i
1,
energy inequa3ities for Some Classes of Mized Sf d2fl~60~~3 ~~O1/~p1/064
Typa equations
(2) ~ L Cu~ ~I o ~ c {E u ~ ~ o ~~ ~+ [v~ ~~~ o ~ ~~ ~E ~ ~ * (u E W~ (Rb) y ~ !`s FF2 (Rb) ~ Q c?0
~ )v
where !i i' ~~ o - norm is Lz(G.yy W~,(Rb) and W~(Rb)� are the sets of the
funatione oir WZ(C) ~rhich satiai'y certain boundary co~sditions Rb and
( )
(Rb~~ reepa~rti~elrp ~ahile II u it * (and similarly I-. II )are definlsd ae
fc:Ilcrre s ,~
I~ulg~~ Iu12da+ a. xD uD,udx+
~ ti fig{ ) k ~ S ~ Y �mk D1u D,- ul ~dx
l ~9k~1 G ~
h
Thin x~mnlt. compl>s.te~r the earlier pa~-er of the authax (8ef a i) since ace�rd- .
irk to (aef, 1) the etxietence of s. we~:k solution of a boua~a,ry value problem
for. L~u] ~, f is gaar~~nteed by the ,sec�ad ins ual.it
9 y (2) while the first in-~
s.qu,a.]..it~- .ia snffi_giet~t for the unique~-eeer of a amaath salutian,
Thext it.. ie~ :aeeertad lchat the. outfla~r v~' a s~pere~onio het out of any infinite
taa~..leeda to the. Cha~P1yBj-n equation in Gp where G11 j.s infinite, Thsr~fore
tie abo~ results ca~;not be .extended directly~'tc tFiitr caeea The author in-
troduces a weighted norm and instead of (2) he prp~eri the inequality
Card 2/3
.~...~..
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1 -
1~,~5'OQ
F ,y -
"1~
3
8~03~
.._ s/o2o/~0/132/o1/a1/o6a
~.UTHORs . BereZanski~ ~.A_
.~ ~~.. ~O
TITLRa Enargy Inequalities for Some, Classed. of Mixed Type Equationn~
PERIODICgI,s Doklad,~ Akademii nauk SSSR, 1960, volo 132, Noe 19 pp. 9-12
TTXTs In a finite domain Q of the (x19x2)-plane ehich lfee in thtd strip
- h~ x4 < H9 intersects the :z1 - .axis .and is bounded by a pieQe~ise smooth
curve (~ , the authoy~ can~'iders the differential expression
~,., .
(1~ L ~u, _ ~ D (a (x)D u) + ~ e (x) D u + a{x~u ,
~vk'~1 ~ 3k k ~~1 ~ ~
d
rrhare D~ dx~ 9 ~ ~ 192 It is assumed that L. is elliptic in G1
G n ~ x2:- o~ and hyperboli,o in ~n ~ G (~ ~ a2 < 0~ and that Oh ha~e a
pertain .special ~nrsio Further ore the ,~,uth~c~r gives numerous assuslptions an
the coeffi.ciertrde Hel proYea the energy inequalities
Card 1 ~ j
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t- Nit
~~~~
S/o4~ 60/0, z/ooa/otif ~/o~ ~
On a Problem of Dirichlet Type for tha Equation of10scillationa of a ~t
r~.ng
Theorem 1 t Let G be an admissible region the boundary of wh:tch contains
no straight lime segments x~ + x2 C. aor ev�ry f of the n~~,gative epsae
W21 ~ L~ , the lboundary value problem (~~ has a weak so
lutian of L2 (i.e.
there e~cis is an u E L2 e a that for every v ~ tiP~ ~ v r
0 it holds;
(~~)
1
Every smooth ao]�ution (i.e. of W2) of (1) fe uniqu�, The solvability of 1
is stable with reapeot to the mentioned small var~,atione t ~
Let ~~ be the s~~raight line x a x �~ G�
1 2 ,and ~ 2 be the straight line x~*-x2;
~~
let �� (~~ ~ _ 5~~ . Let G be fixed! let ~` contain no arts
. Let G be covered by a finite number of p parallel to
~ neighborhoods p~ ~. p~ Sri G
(~ "� 1,.�.N~ with piecewiae smooth boundaries rY�~, , xhere ever at a
y r igbt
line being para11e1 to ~ ~ ar ~ 2 intersects every ~~ in at most 2 ointm.
Card 4/ 5 ~ p
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a~,.,.,,
~/o~ ~ 6�/0~ 2/oat/aa~/o~ ~
On a Problem a~" Di C111~222
ri0hlet Type for the equation of Osci~.~,atians of a .String
then far u ~ ~~2 vanishing on r there exists t;ha ever
gy inequaXity
(7) ~I L ~u 1 ~I ~ ~ C II u ~I w~ (C> 0)
2 2
The author considers (1). putting lk(x) ~ c x + c x ~ then
paeitive definite if k1 1 k2 2 (5) bacomes
(9) _
c22 c11 ~ 0 ~ ~c22 c? 9) 2 '~ X012 ~ 021 )2 y 0 �
Now the author ~~eeks functions fi(x) satisfying
n
km1
Tf a boundary of a bounded region G can be farmed by a finite numb
surt'ecee ~ (x) m~ C then t~ has the properties mentioned above. To er o!
aka satisfying (g) there correspond different adm:tasible G ~ different
Card 3/ ~
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a~~oo
/~ ~soa s/oat ~~/,3~~/~U~/~c~~/c~~~
C111 c222
dUTHORs Bere;zanekiy, Yu.M.
TITLLs Una ;Problem of Dirichlet T~rpe for the Equation of aeoillat~.ons
of a 15tring
PERIUDTCAL: 'Ukrainskiy matematicheskiy zhurnal, 1960, Yol. 12,
No. 4, PP� 363 372
TEXTS It is shown that there exist bounded re~~ions G of the (x1, z~~
plane in which the problem
2 2
(1) a2-~.~ u~r .c~
'~x1 aX2
where ~ fe the boundary of G, for an arbitra~.�y F has a weak solution o~
L2 ~ LZ(G), where the solvability io stable with respect to small
vari~s,tionQ of G.
In tl~e bounded region G off' the n-dimensional sa~aoe (with a pieoewiee
smooth boundary r') at first the system
card i/5
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16(1)
AGT;fIOR: Berezanski
-~--~~~.._. y y Y~~ .,
TITLE: Generalized ~oltitions of I~oundar~,~ Ys, r ~CIY/~o~126-.6~~~F7
P~RTODiC1~La Dokladt lue P~oblems
5 Akademii nauk S55R~19599Yo1 12Ep~;r� b9pp 115~.~1 ~b2
~.~sTRACT: Let L ~ tuu~~~
~u 1 be a differenti$1 expressi.nn of order r a'rEth
suffici.eritly sraaa~th ~oefficientg ; W~ (1~ p~ the Sobo~ev
fundtion apace, W~l the space of tt~e ~er~ertt.~.;~zed funelt
with negative norm. The author investigates the bounda.r~ons
value problem
Y
L~u~ ~~f
u r~ Y~J2 on tl~e boundary,
~rhere f ~ ~~r
~ o The prt}bZem is called solva'a~ e9 if there
exists an appra,ximatir~; setltienct3 iii ~a thn t L ,~ '" ,,..~. f
J!~a.t.de ~.n the sense cif the oonver. r-. ` n,~
~'.nce in t~~x The author
t~enral.i~es his method from Ref ~
Card 1~2 i~he defined solution ~Rlill b~.aan i~rdinand inve;ati~tes ~~hen
~'Y gene~i~~.~,ized ~`i;tnt;tiozi.
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o ~a~p b... 1
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~Y~o~ ~ Doi-3 r ~~~ro~oa~Qa~,oa.u, b
b yC N 'rE7P � p~~ Ua+U~ ~ ~ QQ O
alGv , /+ .Y f.4 .C uH' ~d~up.Ni~ Cousvlei ~ E" a�
o ~~ u ~
~ .a H.~1~ y 4 n ,QH b M ~ N W
x v m d u �'C ,,.~ ,a O~t'pub7c~Itl0uN pppCr py t! ~ M
10 r ~ N ��p 94 ~ peyOlo~~ oalp.,7tMOrly~a. o ~ ~~
'[~; ~ yyon~ u o7 ~ ~ ~ b ~.A~ y pSp y l ~ �oi ~ F b o fy. pp' �p~ ~ p; ~ qp0 (toi CO ~ p~
^ '~ ~f0 ! . $~>~ ~ NC~'~~C GU Oy6F~~04 I~L' Q bC fOM
3 p q ~ q 0 .i
f1C4yf m 4U ~ HAk~C a~ ppsi FArIqq~~ .q~{~ ~,~ O a`i '~
0`+ �Q 1-J � .C~ 9 Ja .1'10A rib M u~ b
N .cP'ia~ioR 1Y ~bqp I4 w~iaEtlp Fo,~NOCO."iii~ yy~'fN~' ~+r,i
o Sm~c ~! upgw~ tp. p ~uoM~ho/ U.iN~b .qy H~ ooa0q�p
A .C r u . I~ s~~ ~ . . 'C ~ tl (~ t. ~ ~ 4 N , '~ ,tt p U a k
a ~~>t5? {~oyy qpo~ ~o uvccuoo~~++�ppJra~ O Q~ CRee
~ ~ �F cpiCy ~h !�, Y RC y4~~p111d~~1aF~~. jS ~ O~h ~
.-~ ~pL� ~ b~ ~~ yYt1 O 4 ~O O AM1 hiQ
o C.1c 0 .! r r ++ o ~+y uuc~Y~1c~p o oet
~g ~ u 4 proN Y p ~ ./ '.'a d ra p~ u U O o ~ Ps.q e~+0 ~ o ~ ~f ! .~
@ y{{C~1Lp�p ltti . ,s1 ~pnlvM 7p~up.pi}C~gg r]Q p
uu , ' u. YCf/o w
..71 y1~), pF, $ .. ~ .i ~',d gp.'+a+.i .~{ W 111 ~ iN accQ}}E
,,~~~~`Y qi oM -��i~ .~j ~~ Q~~�~Yn F+oi�q ��pio A QCq p
yp. ~i .1qqi ~y>NN NNQ .�Ib ~pY tl.CC bpgpp tltlo p, ppo tl au lA1
c arFO.~tip 611 �C~rlx0 �� ~~j$o!~S~.aN~~~+�^.'`O >'�O ~ ~'~ O
~~� ~ ~riu~N C ~~~~~ ~~Ara~SDr0-�$I~~oa~a ~ ~ p ~ ~
~ ~ ~ o ~ RRRRIJ F M a~
h
~ A
t ~
pp
q
a
A
Q
d
~ ~
b
a~*1 x(~~Y(k}c~kl
cjkl ~- structural constants
9 are valid. The authors extend the notion of the
commutat~.ve hypercomplex system to the ease that
metric spaceo The authors restrict thgmR~elves t @ is a locall~
Then it is shown that b o positive structuralaconsta
complex systemso to the $rsystemsitheto (in a certain sense symmetric h nts.
analysi$ on commutative locall Px`incipal xe~ YPer~
examples are given. Y com act
P groups can~~bettrausfer~^edrmonic
� Numerous
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~ Doklady gkad.Nauk 11ps gg3_g9~ ~ 6
95 ) CARD 2~2 PG - 694
tOO
~~
where ~~xtYi ~} is a family of elementar
is a non�.decreasing function it is neces arysandvElufff finite kernels and g (,~, }
pres$ion Z' fie hermitean in the scalar product 1oient that the ex_
~f,6~ ~ K(xry}f~Y~g a dz dy,
K6
i � e. that "'�~ �-
L f'g~ ~f,b' 8~ for a~,1 finite r tames dif
functions f,g. If g~~ ferentiable
,_. ,y} is r times continuously di.
to = and ;y, then L~ is hermitean if y ~'ferentiable with respect
and inversely, ~CK~x,y}~ yI g(x:Y}~ (z,Y E G} holds
INSTITUTICNt Math.Inst.,Acad.Sei. IISSRS
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SUB~CT QSSx~~,gTYQS~~'unctional analysis C1RD 9~~' Pp ~- 69p
AUTfi08 BPREZANSBIJ Ju.x.
TITLE A generalisation o! a theorem of Bocb.nar to decanxpositions in
terms of eigen~'unctione of partial d~,fferent~,a~ ~:r~u�tione.
P~HIDDICl,~L Doklady Akad.lYauk 1� yi a93~e9~ (1950
reviewed 4/1957
Let G be: a finite ar infinite dpmain of the n�di�e~nsional spac,~e pith a piece
wise smooth boundary. The function f(x~ (x ~ G) is called finitte if it annihilates
in the neighborhood of the boundary of G. Let be ~-alid in Gs
-t a k 1 +... +k~~
L Cf] " I,x [f 1 ` ~ ak: ... k (z ~ k g t' .
1 n i r~ ,~ n
o: k1+..kncr az1 ... . n
~-
Let the a(x~ be complex, L arises from L i:E 3.nste~~d of the a(;c~ the conjugate-
camplez terms are taken, let L' be the expression being conjugated to L. ~
continuous, positive definite kernel 1~' (x,y; ~ ~ i:~ called eler~entary if it is
r times oontinuou$ly differentiable with respe~?t ito x z~nd y and sstisf.'~es the
equation i(~]= ~ '~ or LyC'~ - ~~'
The principal result of the author is as follows:
In order that a continuous positive definite kern~91 K(x,y) (x,y ~ G} admits
the representation
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Dvklady Akad.Nauk 9__._08., 379382 (1956} CARD 2,/2 Br ~. ~r.77
has a square integ~xable solution B(x) dei7ine~l in t~a~~ entirA space. applying
Parseval'.g formula to the identity (f,g) 3 (Dbf~~')r ~(Df)tx}~~.~(x~,Y}f(y)dY}p
we get (F,G) .� ( C( ~1ry}f(Y)dy}�G T d5'(`7~} wher~a f E C�p van:LShes outside
a compact subset of S, G ~ Ug and C( ~,y) ~ U B x~;, '~. Bet;ause
x ( Y~ g is arbitrary,
Uf ~~ ~ t
~~~~ F(~~ C ~9y}bf(Y~ dy ig e, distribution for s.~ao~1. 'hen S is
the entire apace (1 } II I C(~>aY}~ 2 d 6(;~) dy ~(1 +,~ ~,~ r~+~) ~ oo ~f ~- p
~. ,
n+~
which means that 2
G~~I~Y}~ dy ~ (~ ~ ~YS ~ is f'ioite for a.a.~. (The
author gets the exponent 2n+1+ ~ because of ano~h~ax chaa.ce of b~. Tlie xesults
are specialized to the case when .A, is the x~es trict;lon of a diffe~~�ez~tial
operator do (considered as a distribution) with sufficiently dif'j'erantiable
coefficients. When .A.v is elliptic, b(Dy)C(~ ~y) exists and ie an ox~~iiisary
eigenfunction of Ao and (1) can be impro~v~~d. Finall.ya explicit formulas axe
given when S is the rantire space9 n ~ 2 s.nd ~, ~ a`~ cox ,.
0 1 ~ Z~ ~ s~ .
INSTTTUTTON: Math.Inst.Acad.Sci.
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(~~.~~~~~1N5Ks ~! ~~.~'1 r
� SUBJECT USSR~MATH:~~9,TlCS~k'unc�tian~.l anal.;~a ~r~ ~~~.Y~~) t~~ pr; - 5~~
JlUTH4x BEREZgNSKIJ Ju.~,
TITLE On ei,genfunction expansions for ~ene:~,~,1, self~adjoizY~Wd differential
operators.
PERIODICAI, Doklady A?sad.Nauk 108, 379-382 (1956)
revis~red '1/1957
Let ~ be e, measure on 'Ishe real line anti N( ,~) a dimension function. The direct
integral L2(~,N) is bar definition a Hilbert space consisting of the veotar-
valued functions F(~) ~ ~Fk('~)}N(~} xit;ti the scalar product {F',,G}~. rF(~) �G ?~ d6~(~i),
J
(F( ?t)�C iti! �~Fk(~i) Gk '~ ). Let ~ be a self-adjoint operc,tgx on a separable
Flilbert apace H. The s;;-ectral theorem may be stated in the following form:
there a=lets a direct integral H* ~ L2{ Fj;~N) and a unitary mapping U from H
err
to H which diagonalix~re ~, in the sense that UA[f""1 i~9 rn~.ltiplioation by ~1.
NoR let H be all aquar~~ integrable functions on ate o;psn subset S of real
n��apace. T:he author shaevs that fox almost all "~, p th~a components of ~'{71)~ (II f) (-~)
are distributions considered as functions of f. S1ig31tly a~odified, the prc,of
rune az~ follows, L�t b be the differentialL operator {-,p )~ ~ 19 (~k;. n), It
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Dd-k~.~ta,Y. A,kad. Nauk ,1Q;~� '197'~20(~ ~~~~~~>-~ t~.~bh.l7 ~�l~.n~ ~rhiah i.e ~~5rurded by
ana~.gt~o et~rfaaeep rrhF~re i,n �v~axy ~~.n.ite p~.x~: ~~ fine ~pa~~e there 3,~ on~~' �~~
f3,r,ii;e aumbe7r ai: these: surfaa~$. xn. 0 the eu'Gb.o~c L-o;asi.dexe i ~ } pith the
baWndary ~ condi'~ion
~ ~a(p}t~. ~.3 ~~
't~ tz
~~~p) a x�eai;s car~ti.ru~r~ue fun.+:t~.qn of ~ ~t~:ul~.a~~ ~Y'r~t� s~, ~~ ~h~ dMriL~~~~�~
d>> ..
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p .. I l 4~
� ~r~ ' { ivl\.1611 il~� 1;�
rj,~t~,;ju.',
t~~~~/I~h+~m~t~.~~ - ~"inite ~if~~~x~n~~;~ ~, Nc~v ~~
"~xpens~;an in the Eigen~'u~ctions oP Partial-last
Aiff~renGes Equati~s~SR u' M. ~3exe~anskiYr
of Meth, Arad sGx
AA1~ ~iSSR, vol 93, Na 1, pF ~"~
Shar~t~ that for asecond-order differE~ncenodp~rfo~r
3n p~~rtial differences L.[u~~0 one can fi
mina Frith an ir~inite-dimen~ourieret~ransformatian"
wh~,c'~ is analogous to thy.
in the es.se of the ordinary differernwe, operation
~75~6~i
,~
~.~~~ ~ a u
,~-1 ,g-~i . ~ ,~ ~ ,~+1 :~l~1} , Presented. t~
Akh~:y~2er, t~sp M+a~tc~ N~1,~~, ~,
Acscl A. N. I~olmo~�rc?v lr ~4p ~3~
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[[,~ T~, .f... "f! i tJ/ ltd ~ ry'^
j.l:Jlj.: ~Jl ei:.; ~)f~.i..L, I.AY ll:f

"`$ypercomplex Systems Constructed, in Accordance
~r~.th the Sturm-Liouv,ille ~quatio~l on the SemiaX~:ss"
-71'~~ M. Bex~ezanskiy, ~ ~nst of Lath, Acad Sci Uk~~ 5~R
IAN SSSR, Vol Ql, ~Qo ~, pp ~.2~5-1.?~~
y#tudies rizzgs of summab~.e funct~,c~ns constructwd
From the Sturm-Liouville eq y" ~ q(t)Y - ~Y
~fl +~ t ~ oo} without any limitat9.ons on the order
~P smallness off' q,(t} at infinity,, but under tlse
E-s~umption that this function is of bounded v~~ria-
~aion on the semiaxis (U,oa} ~ Tfi~.s problem wa~~
~r~~~~
i,'irst studied by A. lay F"vzner (A~at Sbor.� 23 (~6~},
~~n 1, 194$)- for q{ t} = 0 (t'a~" ~) I, a~2, 3; E > d) ~znd
jlater by'"~. S. Agranovich (DAN Ufa, Na ~, 19~9~) ~~
~~~ A. l~zrchenko in his doctoz�al f~issertation ('?`rudy
~+fa:~k~v I~t t3b�va, Vol ~, ~'o ~, ~-r~~3) � Ci.te~ l~.
J~evins�n,, Duke Lath ~'. ~.~, 1~� i., 1.98. Presented
ley' Ac$d A~ ~'. Kalm~$a~~v ~'~ Jun !7~a
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P~~~~u~;~,SKI'~, Y..tJ. M.

"Generalized Almost-Periodic 1+~unctians and 5equeur~~
Connected With Differential and Difference,Equa.-
tions~" Yu. M.,Berezanskiy, Kiev
"Matentat Sbor" Vol. 32 (74), No 1, pp ].57-1q4
Derives a new mrethod for de~aonstrat i~a@; the Parsev~t:R
eq ~'ar sub,~ect case. Diacusges ~imoat-periodic
funct~.ons relative to digple,cement g~ex~erated by
Sturm-~Liouville eq; operators of gen~er~alized dis-
placen~ent which sore generated by or~hclgonal poly-
nomia].s relative to a certain weight; and orthogoruil
polynomials "close" to Chebyshev palyx~omials . Sub-
mitte~! 2~ Ifiax' ~~. 2~t1T'7~
I'A 21.1T`r'9
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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE: 06/23/11: CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE: 06/23/11: CIA-RDP86-005138000204800027-6

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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE: 06/23/11: CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE: 06/23/11: CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

Apnaor~ov, Z.K,, professor; B~_NS,XA, Yo.s.~ {~I,AGOt.~', N.B.; ~~PNAN, ~.Ya,f
prafeaslor; A~~}I~4Ta'~TSu~'f , Y`B,Nr ;" IT ~~AT, A. Ye. ~ dot sent; LYAPTN', S, Ye, f
MUI,YABC'HIg, M.Z,, uchitel'; P~T~K'oy, I.S.; CHICHIGI2+T, Y,G,
Li
Alekaan~~r Niko~.aevieh Barsukov. Ms.t. v shkole no.i:72.-~4 ,~a_~ ~~*j.
(~8A lOs2)
1. IKosk~~vek~,y oblastnoy pedagogioheskiy inatitut (for Anilronov),
2, Zaveduyu~~hchiy kafedroy metodiki matematiki 1~oskavekogo pedago-
gicheskogo 3,nstituta imeni Y, I, Canine (for Bere~anska ), 3. t~etodiat
Shcher ~kovs~kogo rayons gorada Moskvy (for (~lagolev). ~. I~eningrad-
akiy pegog;icheskiy inatitut (for Depman). ,~. 1~fetadis~C ~3alashil~-it~-
ekogo rayons, ~Ioskovskoy oblasti (far ~olotovitekiy). 6. ~~OSkovakiY
pedagngiahea~kiy inatitut imeni V, I, Canine (for Il'ixt~ ~7, Zaveduyn-
stxchiy kafed,ray metadiki matematiki I.euingxadskogo ped~go~~.cheakogo
institute im~ani .~c,I, Gertsana (for 7~rapin). 8, Shkola No,29 goroda
Noskvy (for I~tulyarohik). 9, 7.aveduyushchi~- tcabimetom mate~matiki Mo-
~av'akc~ooblastnogo institui;a usovershenstvovaniya uchite].ey (for
Petrakov), 10, Zaveduyushchiy kafedroy metodiki matemati~~. Moskov-
skogo pedagG,gicheskag4 institute imeni ; P~ Patemkina, (for ~hiohigin).
(Baraukov, Alekaandr Ptikola~,~rich, 189x- )
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

ACC NlZr._~... ~__~_ _ ..,.._.~..._~
APbO,~ u~34.
rig� ~, ~... se~asin~ el�meilts � .
3 ~- po].ari~.ad r�lc~ . , 2 -comparison lulzt;~;
.. calculation-cun�tro7, devico~l(~de rye' ,~
eler~~3nts; 7 - s~.avo machanisnas; 8 _ ~.7-acing
sons:ing aleraor~tn posit~.an ,~

parar�o~t;Er;; sirat~.tanootts:ly and on tho roCl~atod p~zramotor c
ef.~iciency aro cannoctr~c� t
a o the cor,~an control dQVioe t~o~?~rac tarizin, �the ;~rocoss
relays9 ]~ac}~ of these relay s
vorgenC4 ;, ,!' aparate~ as a funct:i.on of tiro comuinationco:~ ti three
is accamplishoclob both z`egu].a ted param�ters from the given valu
~e di-
Y polar iz�d x�alays conaieetocl �to the outpu~Ls of et~ha corns operation
Orig. axt. has : 1 figure, ~~t�i
S~3 COD ~ : C9, 13/ SUB1~ DAT]~: 15Jun~*
Card 2/2
p seln t?nzts
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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

.~ ~ ACC NRi Ap60ti~i,3~ __.. - _ _. _..........
I
l;v ~'I1TOit: Doroza, V. Shy
oRCi : 21t7no
___.r.ti_...__...__.~..~_.._........ j
oou~c ~~ con>J: U~~1o~.3/~6/ooo%-a.~./c~o~~/oo~~
TT"i'S~~ : ~'~ system ~,or cambinod rogu~.a ~~.on o~ tt�ro parnnoters A C~.as s 2~., tdo. 1c~?2~.?.
annatutc:ad bar Ala.-Union ~c:iotzt~.~,':ic Rc~so~~z�cii ~nrlt;i.t;trt+a of ~a~~zttllot.ie Rttbbaz~ ~.rtg ~'ic,tde~
niici~in L-, V. I,ebedov (Vs~~so zrny~ nnuchllo~-~.:I:+ludavata~.i;~ic~.y~ x.tl;atit,ut
sa.ntat~.c:hosk�~;o lcetucliuka)�,~
54UHCE: Izobratc3ni.ya, p:rolr~.thlennyyo obrazt:Iy~ tavarn;~yo ,naic:ID tlo. la.' 1.960, ~ i
T0~'IC TttiGS : prod~rct3.an ~3n~iliar,r:ing, q~iality control, nutol.~ata.c control system:
I Card
~18STRJ1Ci : 't'his Au'f;hor C~3rtil'i.et~xte present, a system for cc.iab.i.nc~d .ro~~ilatian of two
paz�ar~c~telrse Tila systarr :includes s~~ns:ini; c3lf~z7clnl~s ~'or t~1i~~ i~az�al~nl.i~rs bU1r,; rc;;ulfitac~r
aor,~parzsan un:i.ts, a contl�ol dav:ieo, slave mechanism, x�ogul.at;in~; elc;monLa, and pasi--
tian sarlsing elal:~ants of the regulating clor,IC.nts {sore F~.g. 1). Tiae dosig~n optimizes
the process of aalocting the regulating; action as a fultction of ttI� character o~ the
actuating disturbance in the p~.�ocoss. The pos:it~.ort sollsinE; elo~~ionts o� tfio ro~u~.at~.r~~~'
alGmorlts (trhich act un bath regulated parabvtars simultaneously) ar� conr~l~ctol to the ;
input of th� Lo;ntrol dev~~co. Th� control do;rice is connect�d ~;o the slav~3 sac harlisrl I
which acts only an th4 rEtgt~.f~,tod parartater ci~tractax~.z~.ng the gi.~l:ity of t.~c~ ,,~raduct
sought. Tho s1.av� mnchuzti.sms of the rogu~.ating elvntont;~ ttcting an k~oth r13;~u:I.atQd ~

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE: 06/23/11: CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE: 06/23/11: CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6

SOV~f 1 ~Ir~-~`:'~~~~2 j 17
E~.eetroacousti~~ Re~~ula,tar for Feeding Ball &i~.' Zs 'brit:; ~atfr~.;~1. to Re Cr~.,hr~~
r~.nd transforms them ~.nta an t.mfo The F.~mplWfl.ex trc~rlsdiarer
equipment s,mplifies thin emf on the one hand ElIlt~ i;ranti~fornis
~t into a med~.um cuxrent nn tale other: ~ h~e:ing ~r~~;~p;~rt.~.;;r~ai. t
iihl~ i;?:~C:~.l.~clt:.:l.t?Ya .~~.'f'i;~'IE't7'~~t4' (~~ ~~~?k' ~.':~11'~i':+4 1?r~ i;~ ~.,. ,.
~l~ t~1~ t~U.:~!ilt. r, t! k31:{~? rs'F't :.3, ~'t~l;;:Igt' :l;s g(`Ylc}~;'�3,+~E;t1 ';~?3;; a-g ~7u:
on the px~ten~~iameter ~.r., a;, l,h~_~h ~nd~ a+F~-, ;, d. xe~
noisES frequenoyp This frequen~~;,~ 4s ~ Ira:llxt? fe,r .i'eed~~~g t'r~
mill with material. Simillt~.I:~sc�:;a,y9 tf-:e ~,ut~ir:?~.t?.r,, z~otrynt:cm�*~~r
t onta�ol~ the le~ l r1lat c~. ~t~ ~~ mi ll x;;l.le~~.~3 b4r ,5,,-;~n`` �
t~f a contact mec;laniUm ores thr~ ante::nF;ll.ave rE:?a~~ and tr~;=
rllagnEytostarters. In this wa.y, a prr:;.cd:ic .feedii~ig ~;~xt~;. mate:.~~~..
i.s ac;hieved,
~~he E1C~lE�?lA~? t)f '~~11? alllt)l:i,Z:t.%'~',' '~I''iS';[;cillc~+'~' ,sF3t ~;~ ~'1~,'~^I'i~ ~~. !.:()tU
pr~.sers the f`ollc~~in~ e~ F~z~aent~: v~a:~ves- type nIdBS arid. 6IS9Sy
~~erma,nium diode6, typz~ 7Y~�-Tl 13.
Z'he a!iff erer.ce betlti'e',:n ttie ^ :gul~~tors RZ~1T 3 ar.-;J. R~;~~..~ q R.~~?'~i~~`e
consists only therein that they executing ^1~~;.Cta:';, a.!^e of dif'
f erer,:t design accordi n~� t o thEa.r du may.
Fbx pickiT?g up the n~~is~s the eZectri~d't~s,r'~w..' y icrrnc~:.e, tyPH
M~�35 1~ U9P.d thil.t hClS c: g(~i}(~ C};.s'Y'du~:;ecl that p?rmi t,
undE3r certain cond.~.ti.c~nsi a tr~_ple or dual r,3~;ul,btic~n c?f th~ct: c~~.yr:ta,~n~. ~ r;~ie.?^U�
Card. 1~j phon:e, type ~D�,.jj picks up the r.e~:i;;e~ e~f. �r.Ea v,ork~.ng ba~.l mii?.~.
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204800027-6