SCIENTIFIC ABSTRACT YERUGIN, N.P. - YERUKHIMOVA, M.A.

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• Collection: Scientific Abstracts
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• Release Decision: RIF
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• Document Creation Date: November 2, 2016
• Document Release Date: March 15, 2001
• Sequence Number: 16
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

ZRUGM H. P.
USSR (600)
Motion-
Theorems on Instability. Prikl. mat. I mekh. 16 no- 3, 1952 ',p,.9.3-5-
9. Monthly List of Russian Accessions, Library of Congress, 4uqg -195~. Unclassified.
I I i_,' -, -
.I '1!~

USSR/Mathematics - Nonlinear Systems Jul/Aug 52
of C-rdinary Differential
Equations
nrne Analytical Theory of Nonlinear Systems of
Ordinary Differential Equations," N. P. Yer-ugin,
Leningrad
"Prik Witemat i Mekh" Vol M, No 4, pp 465-486
7
Considers frcm amother st-andpoint the clac--ical
rwoblem of Painleve concerning crit removable
pol-m--ts,of, non!-inear differential egs
of the rorm y' where R is a, -rationall
function in y' and algd,--a,:.c in x,y. ramely, the
225T54.
author considers the problem of existence of
-tvmo of the fcrm dx/dz , f'4(xty.,7-) v and dyjdz sm
f2(X,Y,z), which do pbs-4esv removable essentially
9ingular 'points. *Demonstrates sufffdiont condi-
tiona for this.
225T54
171

I 1q. I,.
IIA Problem from the Theory of 'the Stability of Systems of Autunatic Flegulp-tion"
Prilt. Mat. Mech. 16, 62o-628, 1952.

P.
'WRA&themtid~i ftiferential. Equa- Nov/bee 52
'tions
"Construction;of the Entire Set~of Systmms of
'Differentlea Sjustions'Which Poneems a Qiven
Totegral. Curvex", N. P. Yerugim, Laningr~&
"Priklad Hatemat i~Mekhan" Vol 3.6, No 6) pp 659-67o
Considers the following tam of differential eqs
6f.X8 py) where 4 (11% 0y)0
ax/at a Q(x sy) I .67/at !r
Is the given ivitegml amve - A*i' two: P~Ovio"Iy
integial;ourve is expressed in tte
following paramtAd fom w (%,Y,t) z a., w2(x Py
0.0 the author, finds P of the unImown
funotione of: vi -and z y t
a tZ. 21 x";
PA

Obaor mbot sovetskikh mt4matikow pp tooril gl2yablvosti dvitheniya V kn. A. M.
Lympunovp Bibilograij; (Review of Works of Soviet Nathensticiabs on the Theory of
Motion Stability in the Book of A. U. Lympuncv, Bibliography),. cMiemed by A. M.
Lukomakays, edited by Acadesicialn V. I - Smirnovp published by -the Academy of Sciem 08,
USSR, Moscowo-IAningrad, pp. 89-96o 1953-

OTRAI)NYKH, P.P.;YNWGIN, N.F., profesoor, redaktor.
Mikhail Vasillevich Ostrogradskii. Leningrad, 1953. 100 P.
(MLRA 7-3)
(Ostrogradskii, Mikhail Vasillovich, 1801-1861)

MUGI p N. P.
"Review of L G. Malkiu;a Book, "TheM of Motion Stabiuty," Westa. WU
(Leningrad State University Herald,), Issue No. 5, vp. 123-3-27. 1953.
T.: : 1
1, 11: " I ;
i. i, . ; I

YERUGIN, If* P,--, (UnIngrad)
Jlia/AWJ '53
~Stablllty
"Methods of A H. Lyapunov and Problems ar Stability
in the Largep" H. P. Yeruginp Leningrad.
Priklad Matem. i Mekhan, Vol 17, No 4, pp 389-400
Treats the problems of the asymptotic stab.1lity in
the large of the stationary motions defined by the
following system of eqs: dx /dtva x +..,+a Y. tf
k lk 1 nk n k
276T77
(x ..x where a are constants, k=l,.. In, and
1 n ke
fkIs goes to 0 as a 2_,!+...,.x2 goes to 0.
1 n
Presented 21 Apr 53.

WBR/Mathcmatico ftability or motion FD-644
Card 1/3. Pub. 85 - 11/12
Author Yerehov, B. A. (Leningrad)
Title A theorem on the stability of motion in the whole
Periodical Prikl. mat. i mekh.; 18, 381-383, Play/Jun 1954
Abstract Considers the system of equations dx/dt : F(x,y), dy/dt = f(s),
wherfi s = ax-by., notes that this system was also studied by
N. N. Krasovskiy, "Stability of motion in tile whole under con-
stantly acting disturbances," PM, 17, No. 1, 1954. In the
present work the author shows that the fact of aBymptotic
stability of the solution of system for any initial deviation
can be established without certain restricting assumptions of
N. N. Krasovskiy. Refers to related works of N. P. Yerugin in
PMM, 1950-1952 ""off 14011
Institution
Submitted March 23, 1954

Y
MIWIN, N. F.
"LyapunovAleksmArKikhaylowich, RE (Bollshalra Sovetskaya Entsiklopediya),
Vol. 25, PP- 586-587, 1954.

HATURM, Ilikolay Kikhaylovich; LITOY,B.Do, redalctor; MWIN,N.F.,
professor, doktor fiziko-matematichaski1ich
GATAULLIUA,A.S., tekbnicheskiy redaktor
[Methods of integrating ordinary differential equations)
Ketody intogrirovaniia obyknovenufth differentsialInfth
uravneaft. [Inuingrad] rsd-vo Laningradskogo univ., 1955.
655 p - (ICIRA 9.13)
(Differential equatione)

j j T
Em; 7
I TI I r ril I II 1' 11 11111
F IR INTI H 111,111111T, livl III,

HM

im I w ,
I? FrI 11 IHI 4 A; Wil till if fillI If If [III I WN14:1111AIN111H If 11 ;~i.;;jd 616;r6!
HA!!
"On the Theory of Implicit ftwtions,," (report made during a Leningrad city
Mathematical Seminar), W Kh, Issue No 4, pp. 198-200, 1955.

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USSR/Mathematics - ;5xa1)3.lity FD-20)o
Card 1/1 Pub. 85-9/16
Author : Yerugin, N. P. (Leningrad)

Title : Qualitative methods in theory of stability
Periodical. : Prikl. mat. I mekh., 19, Sep-Oct 1955, 599-616
Abstract : In recent years methods have been developed to investigate prob-
lems of stability which are based on ideas relating to qualita-
tive methods, although utilizing also the second method of Lya-
punov; on the whole, however, these methods differ qualitatively
from the strictly Lyapunov methods, and arise particularly in the
study of problems of stability in the large, although investiga-
tiona of this kind exist also in problems of local theory of sta-
bility (and In particular under conditiors. of aornptotic i3tabil-
ity). The author considers in the present article works that have
appeared in the period 1950-1954; namely, in those years occurred
the qualitative shift in the methods for investigating problems
of stability of motion, all of which were in large degree in-
fluenced by those problems encountered in the theory of automatic
regulation. A total of 35 references, mostly in this journal (21)
and DAN SSSR (5); one a Leningrad University dissertation (A. P.
Tuzov, 1952), etc.
Submitted March 28, 1955

'USSR/Mathema-ties - Expansions
i.1_/.-1'1_:/.1 NP,
Caid l/~ ' "" I A~Ub. 85 - 15/16
FD-3100
Author : Yerugin, N. P.
------ *_WAR*WOW"_
Title : Remark on the author's earlier work "Continuation of solutions of
differential equations," ibidem, 15, Nol, 1951
Periodical : Prikl. mat. i mckh., 19, Nov-Doe 1955, 764
Abstract : In the earlier mentioned work the author demonstrated the following
theorem: Let there be given the system of differential equations
d-*x,/dtzfi(,--,,--,xzl;t) where fi(xl1-1Yn;0 is continuous
In the open region D(xl,--,xn); then each solution of the system as
time t tends to T either tends to point Mo of D or tends to the
boundary of the region D (i.e. point M(t)zM(xl(t),--,xn(t)) aL3 t
tends to T is included in a neighborhood as small as desired of 'the
boundary of the region D and does not go further from there). In
May 1955 the author succeeded in obtaining photocopies from the
German Democratic Republic of Mayerhofer's work ("Ueber die Enden
der Integralkurven bei gewoehnlichen Differeatialgleichungen,"
Monatshefte fuer Matbematik und Physik, Band 41, 1934, 183-187),
which work was devoted a proof of this theorem and essentially coin-
cided with the present author's formulation and demonstration except
for Mayerhofer's extremely complicated terminology (which accounts

Card 2/2 FD-3100
for the theorem's not appearing until now in the literature on
- in the texts of 3. Kar-Te or
differential equations; e.g. it is not
V. V. Stepanov, althouy)i they know of Mayerhofer's work.).
Institution
Submitted

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rpurran
N r 1
SUBJECT USSR/MATH=kTICS/]Diff6rentia_1 equations CARD .1/1 PG li2
AUTHOR 3RUGIN N.P.
TITLE On periodic solutions of differential equations.
PERIODICAL Priklad. Mat. Mech. ?0 (1956) 148-152
reviewed 7/1956 -
The results of JaMassera on. perioilo solutions of the system
i-1 ....n
fi (11
with funotions f being periodio In t fire appl-ied by the author for the
determination of periodic solutions for non-periodic fi* Faxthermore the
case is oonsidered where fi and the aoluliioL are both periodI.Q9 the
periods, however, are incommensurable. Humorous e%amples for the case u 2
are given.

;1;11 11;'H H 111filitil I IiIII I M
67087
14ft)- 0 SOV/44-59-1-322
Translation from 3 Referativnyy zhurnal#Matematika,1959 Nr 1,p 60 (USSR)
AUTHORt Yerugin, N.P4
TITLE: Analytic Theory of Non-Linear Systems of Ordinary Differential
Equations,,,,
PERIODICALs Tr. In-ta fiz. i matem. AN BSSR,1957,vyp 2, 235 - 248
ABSTRACTz A survey on the problems and methods of the analytic theory
of differential equations referring to the question, whether the
solutions of the differential equations possess movable singular points.
At first the author enumerates questions which have 'been investigated
by Painleve. In general features there are described the methods of
Painleve which permitted him to separate equations of second order
possessing no movable multiple and essentially singular points. Then
some new problems and ways for their solution are marked. Especially
described are methods of the author which pormit j It) to separate a
class of systems of 2 equations of first order, the solutions of ffhich
possess no.movable essentially singular points (unique as well as
multiple ones) 2.) to construct the solutions of such systems in the,.,
neighborhood of the movable singular points.
Card 1/1 A.F. Andreyev

TBRUGIN. N.P.. akademik
theory of Riccati In equation, Dokl. AX BSSII 2 00-9:359-362
0 '58. (KIRA 22:7)
1.AH BSSR.
(Differential equations)
;I 'pit

YERUGIR, if p - -
Theory of the Riccati equation. Inzh.--fiz*zhmvo. =94-76-80 Ap 158.
(MIRA 11: 7)
loInstitut fiziki i matematiki AN BSSIL, g,Minsk.
(Differential equations)
,~ I I. -
11 ~,

YmWGIN, M.P.
Work of Soviet matbomt1clane
differential equations.. Trudy
no,3:6?-71. '59.
(DiffarentiAl equations)
on the anal7tical theo-,7 of
Inst.fizA mat,&N BSSR
(MIRA 13:~)

Y]MUGIN. N.P., akadealk
Structure of the solutions of an invariant linear oystory of
differential equations. Dok1.AJi BUR 3 tw.2:33-37 Y 159.
(MIRA 12:5)
1. AN BSSR.
~Dlfferentlal equations)

TFMGIN, IIT.Pe --I -
Distribution in series according to the parameter of a function from
the matrix. Dokl. AN BSSR 3 no.7:292-293 JI '59, (MIRAI 12:11)
(Differential equations, Linear)
tTl' I
~.,z :
11111111,qfllil 1141111,11,1111 ii!

YEMIN, N.P.
Methods for investigating the stability of the proofo of linear
systems of differential equations with nonperio(lic coefficients
containing a smill parameter; (commentary on T.A, I.Ombovick's
work). tnzh.-fiz.zhurs no*2:U5-127 1 1599 NIM-13:7)
(Differential equationa. Linear)

61 iii, UIE ff .4-OR, iLQIW.I HW1,114 g, IviTi i i i i W"...
nHURIN# N.F.; 14ATVEYEVo N.M.
Letter to t~e editor. Lizh.-fizh. zhur. no.12:130-In D 160.
(MIRA 1493)
(Differential equationo),

.1114= W, I.A.1111111AW16.114-Wil H 1111 JR, a! QI H! N 1.11110 11 W1 U I I g1ta i"ij
S/17 60/003/02/24/026
BOOOYB005
AUTHOR: Ye gin, N. P.
TITLE: Methods of Investigating the Problems of Stoility of Solutions
of Linear Systems of Differential Equations~With Aperiodic
Coefficients Contai Lrameter7Remarks on the
ning a Small
Paper by V. A. Yakubovich.(Ref . 8))
PERIODICALt Inzhenerno-fizicheskiy zhur''nal, 1()60, V01- 3, Wo. 2, 0
PP- 115-127
TEXT: The author submits the paper by V. A. Yakubovich to a thorough critical
review, and accuses the author of incorrectly dei-13-ng,*iith the matter, By
means of numerous examples he shows that Yakubovich pretended methods and
theses of other research workers to be his own. As examples, he mentions
papers by I. A. Lappo-Danilevskiyp F. F. Gantmakherg I. Z. Shtokalo, N. 11.
Bogolyubov, N. N. Krylov, N. G. Chetayevo Yu. A. Mitropoltakiyo A. A. Lebedev,
as well as his own papers. There are 20 referenci)s, 19'af which are Soviet.
Card 1/1

31411111111111 ~I III] IN 1. ~ fit i
Jk
Parameter expansion of irregular value of functions fran a matrix.
Dokl.AM BSSR 4 no.8:323-324 Ag 160. ()1U.& 13-.8)
1. Institut matematiki i vychislitellnoy tekbniki jtH BSSR.
(Functions)

1:4,416 11, M1 d 1.11 ': I, 14~
YERUGIN, N.P.
Fecessary ano sufficient conditions for the existence of roots of
equations loc.ated on a unit circumference. Dokl. Z BSSR 5 no.11:
483-485 N 061. (MIRA 15:1)
1. Institut matematiki i vychislitellnoy tekhniki AN BSSR.
(Equations, Roots of)

YERUGIN, N.P.
Theory of reducible systems of ordinary linear differential equations.
Dokl. AN BSSR 5 no.12,533-534 D f61. (MIRA.15:1)
1. Institut matematiki i vycbi$litellnoy tekhniki All BSSR.
(Differential equations, Lidear)

------ 35610
6)0 S/201/62/000/001/001/005
D251/D301
AUTHOR; Yerugin, N.P.
TITLE: Solving problems of the existence of bounded solu-
tions of a system of linear homogeneous differential
equations with periodic coefficients ori the basis of
integral substitution, Part 11
PERIODICAL: Vestsi akademii navuk BSSR,, Seryya fizika-tekhnich-
nykh navuk, no. 1, 1962, 5-12
TEXT.- This article is a continuation of the author's pre-
vious work (Ref. 10: Vestsi AN 13SSR. Seryya fiz-tekh. navuk, no. 4,
1961). The integral matrix X of the system
!i2~ = xp(t,z), P(t,g) P k
dt kMe-
IE-o
is considered, where the series converges I-or IEI lod 11M. 46r R < 100 kn, this
,:gradient increases with t. Stall-scale inhomageneitios w~,,ro. de U~ rinined from the
!fluctuation of signals received at three apatiatly:dispera'e~ ant,.-.nnas. It wns ei3tab-
I
tlished that they have a clearly expressed daily course;, uritli the mitximum occurring at.
;night. They were observed pr1rtarLly at 250-:350 km and raq~md tilt irize from I to
12 km. Orig. art. hasf 1 formula. [13D)
!ASSOCIATICII: nofte
iSUBMTTED: Mep65 tNCL-* 00 SUE CODE: EC
I&JE5 SOV: 1108 OTHER* OOL ITD PRESS:
- /2-1 L ~ V ~,; --- - 17W

HN .41 HF~9~i H!!~H

I I WI
t I 1 1 W tali
i
Hill 7, i it

L 32717-66 D,'dT(I)/Fcc GW
ACC N-R- AP6011711 SOURCE CODE: UR/0203/GG/006/002/0400/0402
AUTHOR: Yeru!!~!.Mov L,..,M.
ORG: Radio Physics Institute, Gorlkiy State UniverBity (Radiofizicheskly institut, Gor1kov-
skiy gosudarstvennyy universitet
TITLE: Effect of ionization gradients In a layer with Irregularities on the value of the
correlation of fluctuations at various frequencies
SOURCE: Geomagnetizm I aeronomiya, v. 6, no. 2, 1966, 400-402
TOPIC TAGS: atmospheric ionization, ionosphere, radio wave
13, 1-
A"~`RACT; Usually when calculating the frequency correlation of radio waves in tile
sphere the latter is considered to be a phine-stratified medium, howevor in tile Ionosphere
both regular and irregular horizontal ionization gradients are observed. The presence of
horizontal gradients of ionization at a normal incidence of radio waves oil the ionosphere
leads to the appearance of refraction, the magnitude of which by virture of the dispersion
properties of the medium will be different at different frequencies. This can lead to a
change in the value of the correlation between the fluctuations of radio waves of various
V
frequencies. Consequently in this article the author examines the normal incidence of a
Card 1/2 ----- - UDIC.4550.388.2
-,:I I I i-jj 1;1: 1 1j;: ! I
T

I I It! I I1i i~ N u, "I'l
12 .11111 1~
L 32737-66
ACC NR: AP6011711
-scale ionization grad-
plane wave on a layer with irregularities which also contains large
ients, i. e. , gradients the horizontal dimension of which appreciably exceeds the dimensions
of small-scale irregularities. The author derives formulas for the wave field behind a
layer with irregularities and the correlation functions of the fluctuating field of different
frequencies in the presence of ionization gradients. Orig. art. has: 3 formulas.
SUB CODE: 04 SUBM DATE: 31Mar65 ORIG REF: 007
Card 2/2

: 'IL -V t i
if 1'. iffjk-'Ii~ A i if I I If if, 1110111 M01111111fluil t
ACC NI4 -4nolro16f SOURCE CODE: UR/0203166/006/0041'0695iO
AUTHORt Denisov, N. G.; crukhiriov, L. M.
ORGs Fadlo Physics rnstitute, Gortkiy State University (Radiofizicheskiy
Institut pri Gortkovskom gosudar-stvannom universitete)
TITLE: Statistical properties of phase fluctuations during complete
.reflection of waves from an ionospheric layer
SOURCE: Geomagnetlzm I neranomiya, v9 6. no~ 4# 19669 695-702
TOPIC TAGS: Ionosphere, ionospheric radio wave, Ionosphere Inhomogeneity,
geometric opticss atmosphere model, reflected signal, radio wave propagation
SUB CODE: 04
ABSTRACT:
'Miis is a discussion of phise-nuclb-i~--tj6~ns'znd =pUtwude V~~ia-
,tions of a signal at the time of its rGfloztion fron a 147-or o: the
;ionospheree It is sh(no that the principal contribution to 9%zza fluc-
tuation is from the region of aign,~l reflection* Spaciflc&14, tho
Trincipal Wect ot diatorUm of Vne phase of a plue wre is datfam-
ined by randcm inhomogenoities situated in a reUtively thin -la-ur re&r
Under these conditions it cen be azs=ad that
Card 1/2 UDC: 550.3 8.2
------------------ ------ - -------- 42

ACC NR: AK013706
the layer is equivalent to a Ame scram and for cwputation of 'Uha
ge of phase of the wave on the screan it is p)3zibla to usa tha
chang
approximation of gemetrical opt~cse Bqqp4.~4o acrezn.,~;,the process
of wave propagation in free space, strong amplitude fluctmations arlso
which are registered by ground receivers. The fraquency dependence of
phnst disporsion Is considered for two nodels of the Ionosphore. Form-
ulas are derived which chow that the character of the frequency correla-
tion of anplitude records of the reflected signal is esseiltially dependent
on the statistical properties of the phase fluctuations arising In an
Inhomogeneous -layer. The results of the coc~utatlons are used for explaining
the experimental data.. CrIge-artihast 3 figures md 33 foraulas. EJPRS: 40,106
rard 2/2

-tit
T,

TXRUKHIKOV, L.S.
Immediate and remote results of prostatectany in a distrIct hospital.
Sov.zed. 18 no.3:18 Ky 154. (YURA 7:3)
(Prostate gland-Surgery)

Injury of the inferior Yens cavs in nephrectouT, Urologiis 22 W.6:
59-60 U-1) '57- (KIRA 11:2)
1. Iz Belashovskoy oblastnoy bollnitsy.
(BEP19MTGff , compl.
lnj, of inferior vans mva)
(VAUAR CAVAR*,wounds and lnJ.
perop. in noporectomy)

YBRiulmimove Las*
Treatyant of urogenltal actinowycoolo; Urologr-iia 23 no;5:65-66
S-0 158 (MIRA 11:3.1)
L Ix urologicheakogo otdeleniya (zov. LA, Yervakhimov) Palashmskoy
"~Iaetnqy bolinitay;
0
(ACTMOIUCOSIS, therapy
urogenital (RUBD
(UROGITITAL SYSTEM, diseases
actinoo7couis, ther, (Rua))

XMUKIIIMOV, L*S*
Comparative evaluation of the functional capacity of the kidne7s in
adenoma of the prostate. Urologiia 24 no.5-.14-18 S-0 '59.
(MIRA 12:12)
1. Iz kafedry urologii (zav. - zasluzhonny dayatell nauki prof. A.P*
Frumkin) TSentrallnogo institute, usovershonstvovanlya vrachot i uro-
logicheskogo otdoleniya bollnitsy imeni S.P. Botkiua.
(PROSTATIC HYPERTROPHT phusiol.)
(XIDIIIII FUNCTION TESTS)

L. S., C-~wfiu Lt--G Sci 11b;;-;a for Jf
ar,enoma of orostate 71and," ~~os,,;ow, 19'0) 18 pp (iirst, i.:)s.;oiv
- 0
Institute im 1. 1-.. I-echenov) (YL, 36-60.. 117)

UwMM0ytJL!-s----.
Hiatoz7 of proatatectowr in Awaia. Urclogiia no*601-56 160.
(MIT.U. 1515
1. Iz urolog'cheskoy klinW TSentrallnogo instituta usovershenst-
vovaniya vrachey (zav. - zasluzhemTyy deyatell nauki prof. A.F.
Fr=kin) .
(PROSTATE GLAND-ZURGERY)

YERUKH1140V L.3*16 kand.ned.nauks ZOLOWSEV, V.P.; XACIU14111OV, M.,
--~~~~med.nauk
Drug therapy of cancer of the urinary bladder. Urolofrila no.3:
511-58 1620 NIFA 15: 5)
1. Iz 62-y Moskovokoy gorodskoy bollnitay (glavnyy vmch V.D.
Margolin, nauabnM rukovoditeli prof. L.M. Vionevich i prof.
A.P. FruAkin).
(BLADDER-CA-ECER) (CIMTOXIC DRUGS)

C- the vn~tourin;~r)r crigums, fit-rt If
".A, thu ij,-fnary Fjaddetr 6nd the lvo;vlcle.
Vc.p. cnk. 12) no.12~!ij'8-97 164. (MIRP, !8s6)
1z lr- 1,
nal -,hrciy i tekhnicheskoy informutsil. AN SSSR
llo,~i-Z gorndskogo otdelp. ulravoo'Khraneniya.

YERUFJIIMOV. L.S., kand. mod. nauk
, ~
Results of the use of nitrogen nustards in chneer of the bladc--r.
Urologiia no.6:41-45 H-D 163. (NaRA 17:9)
1. Iz urologicheskogo otdeleniya (zav. L.S. Tenikhimov) 62-y
Moskovskoy gorodskoy onkologicheskoy bollnitsy.

17(
AUTHORS: Mizinov IT 11 F 1, 0 0v IF
of the
I corps
C o.1 C, e I C) i,
M.F., Lieuteliant-C,31-oa