AMERICAN MATHEMATICA L SOCIET Y TRANSLATIONS

Series 2

Volume 1 0

Published b y th e

AMERICAN MATHEMATICA L SOCIET Y

190 Hope Street , Providenc e 6 , R. I . under a gran t fro m th e

NATIONAL SCIENC E FOUNDATIO N 1958

http://dx.doi.org/10.1090/trans2/010

Reprinted 1963

PHOTOLITHOPRINTED B Y CUSHIN G - MALLOY , INC . ANN ARBOR , MICHIGAN , UNITE D STATE S O F AMERIC A

TABLE O F CONTENT S

Page

Leont ev , A . F . O n propertie s o f sequence s o f linea r aggregate s tha t con -

verge i n a regio n i n whic h th e syste m o f function s generatin g th e lin -

ear aggregate s i s no t complete . [JleOHTbeB , A . $ . 0 CBOMCTBa x noc -

jieAOBaTejibHocTeM jMHefiHbi x arperaTOB , CXOAHU^MXC H B o6jiacTM, r# e

nopo>KAaK)mafl jiMHeiiwbi e a r p e r a ™ CMCTeM a cjDyHKijM M H e HBJIHGTC H

IIOJIHOM.] Uspeh i Mat . Nau k (N.S. ) 1 1 (1956) , no . 5(71) , 26-3 7 1

Pyatecku-Sapiro, I . I . Singula r modula r functions . [JlHTeiJKMM-llIanMpo , M . 14.

CMHryjiapHbie MOAyJlHpHbi e yHKlJMM. ] Izv . Akad . Nau k SSSR . Ser . Mat .

20 (1956) , 53-9 8 1 3

Mergelyan, S . N . Weighte d approximatio n b y polynomials . [MeprejiflH , C .

H. BecoBbi e npM6jiM>KeHM H MHoroqjieHaMM. ] Uspeh i Mat . Nau k (N.S. )

11 (1956) , no . 5(71) , 107-15 2 5 9

Ivasev-Musatov, O . S . O n Fourier-Stieltje s coefficient s o f singula r func -

t ions . [MBameB-MycaTOB , O . C . 0 KosfydpuwenTax $ypbe-CTMjibTbec a

CMHryjlflpHblX (J)yHKlliMM . ] Izv . Akad . Nau k SSSR . Ser . Mat . 2 0 (1956) ,

179-196 10 7

Yakubovic, V . A . Question s o f th e stabil i t y o f solution s o f a syste m o f

two linea r differentia l equation s o f canonica l for m wit h periodi c coef -

f icients . [HKyGoBwq , B . A . Bonpocb i ycToMqMBocT M peiueHPi M CMCTeMbi

AByx jiMHefiHbi x flwJ^epetfL^tajibHbix ypaBHeHwi i KanoHMqecKor o BM# a c

nepMOAiwecKMMM KOScJx^MijMeHTaMM. ] Mat . Sb . N.S . 37(79 ) (1955) , 2 1 -

68 12 5

Petrovskii , I . G . an d Landis , E . M . O n th e numbe r o f limi t cycle s o f th e dy P(x y)

equation -j- = n / \ wher e P an d Q ar e polynomial s o f 2n d degree . ctx \f\x 9 y)

[fleTpoBCKHM, 14 . T . M JlaH/jHC, E . M . 0 qwcji e npe/jejibHbi x IJMKJIO B

ypaBiieHMH -f-^t ' \ , r # e P M Q MHoroqjieHb i 2- M CTeneHM. ] Mat . ax (J\x, y)

Sb. N.S . 37(79 ) (1955) , 209-25 0 17 7

Visik, M . I . an d Ladyzenskaya , O . A . Boundar y valu e problem s fo r partia l

differential equation s an d certai n c l a s s e s o f operato r equat ions .

[BMIIIMK , M . M . i i JlaAbDKeHCKaa , 0 . A . KpaeBbi e 3a#aq M AJI H ypaB -

HeHMM B qacTHbix npoM3BoaHbi x M HeKOTopwx Kjiacco B onepaTopHbi x

ypaBHeHMM.] Uspeh i Mat . Nau k (N.S. ) 1 1 (1956) , no . 6(72) , 41 -9 7 22 3

Gol dfain , I . A . O n a c l a s s o f linea r integra l equations . [FojlbACJDaMH , H .

A. 0 6 OAHO M Kjiacc e jiMHeMHbi x MHTerpajibHbi x ypaBHeHMM. ] Uc \ Zap .

Moskov. Gos . Univ . 100 , Matematika , To m I , (1946) , 104-112 . 28 3

Page

Lyubic, Yu . I . O n a c l a s s o f integra l equat ions . [JlK)6wq , 10.14 . 0 6 OAHOM

KJiacce MHTerpajibHbi x ypaBHeHMM. ] Mat . Sb. N.S. 38(80) (1956) , 183 -202 29 1

Gagaev, B . M . Existenc e theorem s fo r solution s o f integrodifferentia l

equations. [ParaeB , B . M. TeopeiMb i cymecTBOBaHWH peiueHMM MHTe-

rpoAM^epeHi^iajibHbix ypaBHeHMM. ] Uc \ Zap . Kazan. Univ . 11 5 (1955),

no. 14 , 21 -2 8 31 1

Sigalov, A . G . Two-dimensiona l problem s o f th e calculu s o f variation s i n

nonparametric for m transforme d int o parametri c form . [CurajlOB , A . T .

AsyMepHbie 3aAaq n Bapwai woHHor o wcqwcjieHMH B HenapaMeTpMqecKoi i c|)opMe, npeo6pa30BaHHbie K napaMeTpuqecKOM (J)opMe. ] Mat . Sb. N.S . 34(76) (1954) , 385-40 6 31 9

Smul yan , Yu . L . Completel y continuou s perturbation s o f operators .

[UlMyjibHH, K) . JI. BnojiH e HenpepbiBHbi e B03MymeHMH onepaTopoB. ]

Dokl. Akad . NaukSSSR . (N.S. ) 10 1 (1955), 35-3 8 34 1

Krasnosel ski i , M . A. Som e problem s o f nonlinea r ana lys i s . [KpaCHOCeJIb -

CKMM, M. A. HeKOTOpbi e 3aAaq w HejiMHeiiHor o aHajiM3a. ] Uspeh i Mat .

Nauk (N.S. ) 9 (1954) , no . 3(61) , 57-11 4 34 5