SCIENTIFIC ABSTRACT MARKHASHOV, L.M. - MARKHININ, YE.K.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001032410020-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 19, 2001
• Sequence Number: 20
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

MM&NVW,, V.V. (Moskva~L MWMl,,-L.M.-(JdDskva)
Zvuluating the deviation of a bala ad gpwcope in gymbalB.
Lab. sbur. I no.4 s3-5 361. (NnA 15:4)
I* Iwtitut -ekbaniki AN SSSR.
(Gyroacope-Testing)

MARK.Olisliov L.M.
2
1 4 61/025/002/010/022
11/2 02
Ol
AIJIM i Mrkbashovo 19N# (Moscow)
On the critical cases of staloility in IT&PUROT
.9tationm notion
PIMODIOALs Prikladnaya mtonatika i mokbamikat ve 259 no,. 2p
1961v 265 - 275
1. T3MTe A system of differential equations
(CLI X) 10 6666 R)
I@ ecammeredo where the function@ Ii(et x) do not depend expli-
eltly an tg and are holomorphic with respect to the variables zJ
in..a' sufficiently smal neigh'borhood H of the point IIn m ins

28499
5/040,/61/025/002/010/022
On the critical cases of D201ID302
Ia 'the hosopnious forms a ;w I
41 (C4 X) *so Z *go Z a
tkqi~- awmation indices tak indefendently of each other all values
frox;l to 26 The coofficNats I are symetric with ro-
-4jobt to the lower Indices* If a is an arbitrary fixed natural nun-
ber# lAbout, by Aefinition
Po
U this artiole certain statemeits are f lated a coming the
offIcIontl too: *be$ I
-ItIONS eatisfigo by the so Do:r
~Iai 4(up when the systes of equations In the
16M &I rlizimation is

284"
8/040./61/025/002/010/022
D2011"02
(le2)
lxts'.~ of a1kolideas I~paoe- %
of diwasiomalty Na equal to
a
Us amoral t0ber-:of coefficients a in the function 16CLO X)O
C
%
IA26isl that the, sets of non-oritical points of are not
%a
trassforsed coordinate is considered
Pit
Vevis).- 292 o. Xl!*
(2s2)

0/0401)04025/002/020/02~
&I eases. of 3w011"02
9 Wa Smi ~ghborhood h C N of the point, x a 0 may be foun� In vb4ph
iL an xv
Icorrespondenoe between the coordInates x
d
finite
..f Me. armeter at (2*2) is equivalent to Lyapu-
__v"~'.L_ft'. 10y# -trim lorming (102) gives
Iiiw, x9) (2-3)
(20
111~1 S. Are 1, rational funstiong of a mad so suak that
0 000 depend on
#solo a 1 0 0 0 0 P &set Doc
so'eiapp'l (2-4) trassformi each of the spaoef is
2

8/040MG 110 K/O 0 210 3.0/0 2 2
On the critical cases Of see D201 02
o Itselfg and Sakeratos a Croup. Babstitating In (1*1) and
trimalarming gives,
(3-1)
(J. i 1. 2. k t. 2,
now 68363*a where 6E Is Kroneckorts 6. By finding the
-jiIwle-valued solution corresponding to a' wkO (2-4) maybe
wittes in the form
k-2.. (at4mkak + *L4. - gal.. - OZ4~)
C"d SAI

28499
3/040/61/025/002/010/022
On the critical, cases of ... D201fiD302
NIN Na
Demoting by. a' 06 0 and alt feet a one-dimensional systems
of variables 0 soft 3 j j .
-oil ajI# ***imp and oil 9 **of 49,1*$is thema-
trix ofthe transformation group of the space my be written
jui the form NU
)1 )2
1 Qk12 1 sk0*0121 I
0 )2 .....
oil 2 ailesoia-1 2
0 0
oil
In V)dGh the-bloc
L
Oi". 6/.U

8/040/61/025/002/010/022
on the critical cases of D20113)302
denote@ a matrix whose elements are dependent on the We having
exactly k - t + I lower indices. The vector matrix 2 of the trans-
d
formation group of the space (d