SCIENTIFIC ABSTRACT GOKHBERG, I. - GOKHBERG, S.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000515610002-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 26, 2002
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

GOKHBERG. I.TS.; KRETN, M.G.
'
Basic concepts of defective numbers, radicRI numbern, nnd indices
of linear GperRtors. USP-Dvit-nn-1k j2 Mr-Ap 157-
(MUU 10: 7)
(Operators(Mitheriqtics))

GOKHBERG, I.TS.; KUYTI, M.G.
Systems of integral equations on a semisection with kornels
depending on the difference of arguments. Usp.mat.naulc 13
no.2:3-72 Mr-AP '58. 04iRA 1i:4)
(Integral equations)

AUTHORt G,,k-hberg -I,Ts,,, Kreyn; ~1.1,
TITLE. oil a stable 175tem of P-OJ-11
S (! Vera-, U-)k:-,-),xn F-jn.- tjn-q
PERIODICAL~ D(ik, I adil A k a d
ABSTRACT: Lot a cont.,-J-,-
uLan,s Intcj ~.he
d,~fined *n r vOi-~'h
t'~e so', of a] 1 r.n mat3-i
d
fT be by
n~ max
ti~ r
Let A( t) f-:H, he a
p ro b I e m
(.D
Card 1/3 T 1i e s y sm g

On a Stable Syst6m of Par-s:I,a, '.?.)~di J9
Several Unknown Pun,:Oonq
e ri, fi t
a
Theorem.
1711, 1
v at 3~ i -L v-
r a m !-o- I! t, f om t 1
C, !!~r,/ r
(!o C!' -
~,TI t 1i
Ti
there e i rd a e.- f) of
xri
r'li c- c, -~ o meA T. -fItz" T. 11 L .3 t
such Thai a,, e ry B (iH B A. n c).,i - s j. nra 1rt
F I c
Card 213 --o1
o

AUTHOR: Gokhberg, I.Ts.
TITLE: On -the Number of Solutiong of a ifamoion,~ou.,j A-_,ru1,?..r
1,
..quation 'Nith Continuous (,oefliciento (C) ch-_tlp r,7-:ih;~n-ly odnu
rodnogo sinKulyarnogo int,-grallnogo iira~,nen:,ya 2 r~epreryvnynl.
1~otffitsiyentami)
FERIODICAL: DoL'lady Akademii nauk ?q5,13 Vol I _"201- 327-5
i n w.
A13STRACT: Let F be a smooth 3imr.',..y clo!:jld C1.11'71? the orir
continuous curvature.
Thporem: If a(t), b(-") ar-~ cortinuoun and --f Jt t)
is different from zero -, r , then
ILI d
a( t) t) C44 1C - ~
a
possesses for 4e(A) d. ar~,, 0 CXL' Ct! y
X(A) linearly independent solutions. For 3-6(A) 0 there
exists only the trivia-- solution.
Card V.,

On the Number of -'solutions of a mHom)t~eneous Sin~qiliar
IAtegral Equation ',,'ith Continuous Coi~fficients
11heorems Let k ( t) C- -,,,c ,)o ),;Rtiqf~%,
;i'ourier transform 1:(,,\) o f(0 in (,ontJ nuo)ifs and tend's to
zero for t-oo. K(A, P Ix < or hc n
" C) ( - " < -
,f ( t) -T!:( t s) (n) ds 0 1~- t -' a
possess-ns exactly (10d a r '-.-(A) I.j nearly
00
independent solutions in the space L, (0, co )if 0 , -a n d'
only the trivial solution i f Y 0
',`.'heorem: Let a(t) tj = 1 convergo un-.for.-a
k
00
1y on the unit circle a:id lo t a(t) therf! bi! / 0 Then tnti
00
system ak-j ')j~0 possec',eE! ex~.::tiy
j=0
Card 2/ 3

On the Jumber of .7,'olutions of aHomo~,r?neous ';in,-ular '7,10
integraL Equation 7ith Continuous Coefficients I
1 ~ d arv a(L) linearly indpp-miimt soliitions in
2 WItI=1t
tile space 12 if and only the trivial sclu ti~-n if 0
There are 5 .3oviet referrnces.
ASSOCIATIONi Belltskiy -,osudarstIvannrY pP-da;-,oFicI1Prikiy irlstitn' (72-1,t3y
State PedaEogical Institiite)
PPESENTED: .ay 19, lc?58, by "F.I. '-~mirnov, Academ4-cian
SUBYIITTED: ',,--y 16, !6'
,58
Card 3/3

Au'.',~OR: qo:~h'be -E,
TITLE- On. -~'-eL ts T!,al

PER-ODICAL:
Uspekl,.i 1:1~
te~:!~'lti.ChQ:3kiirh C~
A IS P -1, C T Let E 'I)
an d

X,

n P_e t a u a (I

unde rs (I
ao
Thc, ;ind -7
~~._'.Kreyn I_j

t i
E f L:
t h
a te
e 2 ~
a

Cal~d

On t h L
v, A r:
C- rn
OL-
sat s f la
h r-,C
-1 <
S U'311,1 I T
C,i:-d

15(-1)
AM16Rs: Gokhberg, I.Tq. and Kreyn, M.G. 3 0 11 1,` 2, 0 -a -21/ 5'.
TITLE: Completely Con'.1nuous Operators 1.7it'n u Suectrur C.1 cen t rated
in Zero
PERIODICAL: Do'-ladv Akader:ii nauk 33SR, 1'~5`1, Vol 126 , N 2 2 7 -2 3 0 ( US S R
A 3 ST RA C TL,~ t (0 < r,, < i) bp the ,;et of all lineat, 'uo-.inded or)erators
i% th es e p firair I eif L 1 b e ia )p
11L15 ce ~j -,Y~iere N',)/A ~ ~[S~
A A
Let T be the set of all linear comi3letely continucu.; oneraTori
00
, )JA max ()jAf1j/jjCjj '). The operator function P(01
(0-!~t