SCIENTIFIC ABSTRACT PLISS, V. A. - PLITKIN, A.
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SCIENTIFIC ABSTRACT
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1:) 11 c", if. p .
- -1--
Stiuly of a transceniental cass in The thi3ory of itability cuir-
-I motion. Izv. AN S313R. Swr, mat. 28 no. 4Y911-924 Jl-Ag 164.
fl,41111A I~i'9)
, A
.0-.
FLISS, Vikto-r Aleksandrovich; PEPROV, N.N., red.
- -
[Nor-local problems in thetheory of osei-Ile-tionsl Ne-
lokalinye problemy teorli kolebanii. Moskva, Izd-vo
"Nauka," 1964. 367 P. (MIRIL 17:7)
PLISS- V.- A. (Leningrad)
"Uber einen kritischen. Fall der Stabilitat einer Bewegung."
report submitted for 3rd Conf on Nonlinear Oscillations, E. Berlin, 25-30 May 64.
PLIS~~V ,
vluo~
The reduction principle in the theory of stability of motion. Dokl.
AN SSSR 154 no.5:1044-101~6 F164. (MIRA 17:2)
1. Leningradskiy gosudarstvennyy universitet im. A.A. Zhdanova.
Predstavleno akademikom V.I. Smirnovym.
ACCESSION VR: AP4012075 S/0020/04/154/002/02268/0270
AUTHOR: __Plis-3,, V.A.
TITLE: Stability of motion in a doubtful case or two zero roots
SOURCE: AN SSSR. Doklady*, v. 154, no. 2. l9b4s 268-270
TOPIC TAGS: 1-yapunov solution, motion stability, zero root, two
zero root equation, vector function, mathematical analysis, differ-
ential equation, continuously-differentiable function
ABSTRACT: The study carried out by A.M. Lyapunov (Issledovanle
odnogo 1z osobanny* kh sluchayev zadachl'ob ustoychivosti
An analysis of a special case of the problem of
stability of motion, Leningrad,, 1903) was analysis. The paper re-
lates to stability in a doubtful case of two zero roots with a non-
prime elementary divisor when the number of equations in the system
is greater than two. In only one case the Lyapunov's anal sis was
not exhaustive. He proved the existence of the funationf1c) and
Card 1/3
ACCFMION M Ap4oi2o75
studled Its proportion in detail. He further established that the
ftmetion W(C) is continuously differentiable.
From the form of the systems
dp
7 cp (c, P, C,
dt
-C" AC + cF (c, O)t
d P,
and dp CP (C, P. 0).+.. q) (40-
d4-6 - (2)
it follows that,, for those C wherefp(C) =Oj, system (1) has a
co-periodle solution
-(C OY
P - Imp-
Lyapunov did not analyze.the case when the funationip(C) in any
:C
Od 2/3
V
ACCESSION NR: AP4012075
vicinity of the point C =0 can assume a zero as well as a negative
value. It can be proved that stability exists in this particular
case. The following theorem is valid. If there exists such a set
of posi tive numbers C containin g the zero of Its limit point so
p. thatLP (C)= 0 with C C., then t he zero solution of the system
dr
= rl+',Rl (,r, 0) 4- rR, (r. Z. 0),
d0
rq-1 + rQE) (r, 0) 0. (r. z, 0),
dr
Az+Z (r, z, 4),
(3)
Is stable with respect to the variables r and z. Orig. art.,has:
11 equations.,
ASSOCIATION: Leningradskly gosudarstvenny*y univeraltet im. A.A.
Zhdanova (Leningrad State University)
SUBMITTED.- 22,Tul63 DATE ACQ: 14Feb64 ENCL: 00
SUB CODE: HN NO REP SOV: 001 OTM: OW
Card 3/63
PLISS p V. A.
On conditional stability in critical cases. Ddkl. AN SSSR-147
no.6*2292-2293 D 162. (MIRA 16:1)
1. Leningradskiy gosudaretvenrV7 univ6rsitOt in. A. A. Zhdanova.
Predatavleno akademikom V. I. Smirnovym.
(Differential equations)
PLISS11 V. Al
,Jr.-
I'Contitions of stability in critical cases,"
'Report presented at the Conference on Applied Stability-of-Motion Theory and
Analytical )bcahnicz, Kazan Aviation Institute, 6-8 December 1962
AUTHOR:
TITLE:
PERIODICAL:
U535
S/020/62/14T/06/m/034
B112/~186
Yliss' V. A.
Conditional stability in critical cases
Akademiya nauk SSSR. Dokladyj v. 147, no. 6, 1962, 1292-1293
TEXT: The author considers a differential equation system
dx/dt - Px 4. X(x,y), dy/dt M' Qy + Y(x,y) (1)
with constant matrices P and Q all the eigenvalues of which have positive
real parts. Two theorems are derived, of which, the first is as follows:
if the zero solution of the system dy/dt Qj + Y(Oty) is asymptotically
stable for t -~ 4 m , independently of the form of terms the order of which
is higher than N, and'if the expansion of the function X(Oly) staris with
terms the order of which is not less then N+1, then there will exist a
continuously differentiable function f(y) such that f(0) - 0 and that each
solution of system (1) that begins on the manifold'x - f(y) remains on it.
In additiont the zero solution of (1) will be asymptotically stable for
t -+ + OD if the initial data satisfy the oondition x - f(y). The second
Card 1/2
S/02o/62/147/006/004/034
Conditional stability in B112/BIs6
theorem is the converse of the first.
ASSOCIMON: Leningradakiy gonudaretvennyy universitet im. A. A. Zhdanova
(Leningrad State-University imeni A:# A. Zhdanov)
PRESENTED: June 8, 1962, by V. I.,Smirnov, Academician
SU13MITTED: May 16, 1962
card 2/2
a
PLISSP V.A.
Nonlocal problems in the vibration theory. Vast. IZU I? no..13:
30-46 '62, 041RA 15:7)
(Vibration)
PLISS, V.A.
Boundednegio of solutions to certain nonlinear differential equations
of the third order. Dokl. All SM 139 no.2:302-304 J1 '61. (MIRA 14k7)
1. Leningradokiy gosudarstvennyy universitet ira. A.A, Zhdanova.
Predatavleno akademikom 'V.I. Smimovym.
(Differential equations) _(Fuuationsp Pontinuous)
PLISS,-V.A,-
The phenomenon.of convergence in periodic nonlinear syntem. Dokl.
AN SSSR 138 no.2:301-304 IV 6L (MM 14:5)
11 Lenimgradi6k4y gosudarstvennyy universitet im. AA.Zhdanova.
Predstavleno akademikom V,I.Smirnovymo
(Differential equations) (Convergence)
FLISSP-V.A*~~.
1 1- - , '-I I
Existence of periodic solutions for certain nonlinear system. Dokl.
AN SSSR 137 no.5:106D-1062 Ap 16-1* (KM 14:4)
lo Loningradskiy gosudarstvennyy universitet im. A.A,Zhdanova. Pred-
stavlono akademikom V.I.Smirnovya.
(Differential equations, partial)
PLISSI V.A. (LenIagrad)
ItAn analysis of a transcendental case in the theory of motion stabilit."r.1
Report presented at the 2nd All-Union Congress on Theoretical and Applied
Mechanics, Moscow 29 Jan - 5 Feb 64.
AUTHORs Plies, V.A.
23B2h
S/020J61/138/PO2/006/024
C111/C222
TITLE# The phenomenon of convergence in nonlineaT jeri~dic systems
PERIODICALs Ak&des-iyaInauk SSSR. Doklady, v. 138, no.2,1961, 301-304
TEXTs The author considers
dx
r M f(X,t) (1)
t
where x X(n)
f~ ., f(xjt) ~f(l)(X,t) -
f(x9t) in iolctinuous f (n) (X, t)
X,t + x0t) I f(x is so that (1) has
unique solutions for all x,t
n
Let Let x( t, x09t 0)
be the solution of (1) with the initial date t 09 X0.
Let (1) have 'the convergence property if
1. all solutions x(t,x 't ) are continuable for all t>
0 0 ,t op
11 (1) has a unique (b - periodic solution x
Ca;d 1/3
23824
S/0,20
,/61/138/002/006/024
The phenomenon of convergence 0111/C222
111. this solu,;ion is stable in the sense-of Lyapunov,
IV. for every :c(t,x0 't0) it holds
lim 11 i(t,x 00 to) (t) (2)
-P OD
Let 1. be Satisfied t If to every point x 0there oorresponds the point
x((j x0 0) then one obtains a homeomorphic mapping T of the space E n into
itself.
The-ore& 8 In order that (1) has the convergence property it is necessary
and sufficient that x
1. all Solutionq x(t,x 0 't0) are continuable for t,>to I
11. there exists a closed bounded set FCE n which for the mapping T goee
over into itself ;
111. there exists a continuous function v(XPY) of the points x9y EZ n with
the, propertiett g 1) v(x,y)>o and Y(x,y) - 0 then and only then if
Card 2/3
-I NONE
2J82h
The phenovenor. of convergence ...
S/02q/0'-1/1 38/002/006/024
C111/C222
I -Y' ; 29 f or 11 y--:, oo for arbitra-ty xt-=P 13)
.7(T('7), T(y)).!5;v(xgy) and if v(T(x), T(y)) - v(x,y) then x - y.
ke an example the atithor gives the aystem
(15)
dxk
- 4: b ), x + 11 f (G-) + p0 a- kix -
dt k Y k k 3.
where f > 0, Pk(t) is continuous and Pk(t + o) - Pk (t) ; tinder
certain condit:ions (15) has the convergence property.
There are 2 Soiriet-bloo and I non-Soviet-bloo references.
The reference %o the English-language publication reads as follows s
J.L. Massera, I.nn. of Math., 50, no- 3 (1949).
ASSOCIATIM Leningradskly goaudarstvennyy universitet imeni A.A.
2hdanova (LenIngrad State University imeni A.A.Zhdanov)
PRES'EXTEN Tecember 22, 1960, by V.I. Smirnov, Academician
SUBLUTTEDs Voyember 25, 1960
Card 3/3
MAYENIN, S., inzh.
t~,~c
A-ul,matic cond,~nutite- 1!~vi~arger. Rech. tranap, .,.
(MIRA a8.5)'
1. laningradsk-ly, gosuiarstvennyy institut. proyaktirovaniya na
rechnom transporte.
syn.hrocyc-o rc
~tbod.` i--7.- i--u'a--4",.-,-,'--~;'-.,
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0:11 1 ~ -: ~ . I ". -.J;~
ZYULKOVSKIY Zdislav [Ziolkowski, Zdislaw]: -J?IJWA- A V_,, inzh..:
ttranalator]; ROMAMWV,-F.G., pr'o'r.--, red.- KURDCHKINA,
p
M.I., red.; ERT, tekhn. red.
[Liquid extraction in the chemical industry] Zhidkostnaia
ekstraktsiia v khimicheskoi promyahlennaOA. laninjp-m4-
Gookhimisdat, 1963. 478 p. Translated from ihelolial."-
(Extraction (Chemistry)) ... MRA 16:9)
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PLISSKIN, G.I., inzhener.
q4p,
Use of the equivalent rate of concentration in analyzing stage
systems of evap'oration. Toploonergettka 3 no*105-38 A 156.
(MLRA 9:2)
1.11onetskoys otdeleniye kontory po organizateii i ratsionaliza-
taii rayoupykh elektrostantsiV i seti.
(Yeed water-Tooting)
/V
PERIODICAL ABSTRACTS
Sub.: USSR/Engineering AID 4154 - P
PLISSKIN. G. I.
0 PRIMENENII EKVIVALENTNOY KRATNOSTI KONTSENTRATSII K ANALIZU
SKHEM STUPENCHATOGO ISPARENIYA (Equivalent ratio of salt content used
for the analysis of the stage evaporation system). Teploenergetika,
no. 1, Ja 1956: 35-38.
A general analysis of the performance of the stage evaporation
system on the basis of the equivalent ratio of salt contents.
Simplified methods of thermo chemical testing of boilers are
discussed. one diagram.
PLISSOV, A, K.
*Oxydation des prodWts de petrole a des temperatures eleveas". Plise2y. A. K -
Grebenni3cova. M. ID (P. 547)
SO: Journal of Gwisral Chgastry
(Zhurnal Obahchi3i Xhimit) 1939. Volume 9, #6
PLISSOW) A. K.
"Sur la question do lIo74-dation des hydrocarbures du patrols". Pliesow, A. K- ( P. 516)
SOt lournal of General Chemistry (Zhurnal Obshchei Khiaii) 1936, Vol. 6, No. 4
PLISTIK, A.s.
Attachment for the repair oil the differential gear thr, rerdue~tor
ZID-5 trolleybuses. Rats. predl. na gor. elektrotramq). n0-9:,"4-35
164. (,MBA 111:2)
1. Depo No.2 Trairivayno-trolleybusnogo upravloniya IA-ningn-ada.
L ?
SUP149TEp Given Names k.
COUntrYl Poland
Acadeiidc Degrees i
Affiliations
SOurc~l Warsaw, Medycyna Weterynaryjna, Vol XVII, No 8, August 1961, pp 471-474
Dat&l "Nutritional Values of Mized Feed Concentrates Produced by the Fodder Industry."
Authors:
SXULM9~~KT, Jozef; Prof. dr.; Director of the RochemistnLJXqMrta=t (Zaklad
Biochemii), Veterinary Institute (IniTy-FuTV-3terynaril), Pulavy; and
p f the Department of Physioloacal Chemistry (Zaklad Chemil Fizjolo-
giczn9j), Higher Agricultural School (WSR- Wyzsza Szkola Rolnicza)
Lublin.
,RRZAS,-EdWard
niew
~z ~y 1-1 -C 15! ~g
Oro gn I A-43
7- LA-J
SURNMEp-Given Names
Countrye Poland
Academic Degresst U-C
Affiliations
30UrOO1 Warsaw, Mgdycyna Eater7naryAna, Vol XV11, Vo 8, August 1961, vp 471-474
.Data$ ONutritional Values of Hized Feed Concentrates Produced by the Fodder Industr7.N
Authorst
SNOBOM;, Jozef; Prof* dr.; Director of the Plochemis ry-ftartment (Zaklad
Biochemii), Veterinary Institute (Instytut Wbterynarii), Pulawy: and
p f the Department of Physiolojical Chemisjzy (Zaklad Chemii Fizjolo-
gicznej). -Ei-gbiiir-lqil-d~~c ~VMV--- Wyzsza Szkola Rolnicza)
Lublin.
",w"d,,
,"~4ISZqZYNSKI,j%b1gni9w
WAZNY, Rieczyslaw; PLISZCZYNSKA-BRENIIEIISTUHL, Maria
Radlological examination of the salivary glands with the use
of water-soluble contrast media. Pol. przegl. radiol. 29 no-3:
249-255 My-je 165.
1. Z Zakladu Radiologii AM w Lublinie (Kierownik: doe. dr. med.
K. Skorzynski) i z Kliniki Otolaryngologicznej AM w Lublinie
(Kierownik: prof. dr. med. B. Dylawaki).
PLISZKA
jr-nvepligations on the occurrence atd methods for the detervj-mat-4 .
I 'Ot
of pathogenic streptococci in some food products. Roczn. panatw.
zakl. hig. 14 no.4:/+11-420 165.
1. Z ?Akladu Badania Zywnoscl i Przedmiotow Uzytku Panotwowago
Zakladu Higieny (Kierownik: prof. dr. M. Nikonorow).
PLISZKA, A.
Direct determination of st&ph7lococc&l toxic agents In food
xtracts. Acta microb. polon 5 no.1-2:253-258 1956.
7
Z-Zakl&du Badania Zywnosci I Przedmiotow Uzytku PZH w
X62awis.
(141CFDCOCCUS FTOGIIWA,
toxin. determ. in food (Pol))
(YOOD,
determ. of Micrococcus pyogenes toxin (Pol))
PLISZKA, k
"Comparison of t1m Effect of Stpphylococcus &terotixin on Cats by Intravenous, Sub-
cutaneous, and Intramuscular Injections." P. 466 (Dziennik Urzedowy, No. 4, 1953,
vlamawa)
SOi Nonthl-v List of East buropean &cceppions, Library of Congress, Vol. 3, No. 6, June.
1954, Uncl.
PLISMA, Anna
Cows as carriers of emplase staphylococci in their udders.
Rocza parst;r zaka hig 1/, noj,2:199-201, t63
1. Laboratory for Testing Food and Articles of Common Can-
sumption, State Institute of Hygiene, Warsaw.
PLISMA, Anna
Phage types of enterotoxic staphylococci and phage differentiation
of strains in euidemiological investigations and cases of food
poisoning. Med.~osw.mikrob. 12 no.4:323-330 '60.
1. Z Zakladu Badanta Zywnosci i Przedmiotow Uzytku PZH.
(BACTERIOPRAGE)
(STAPHYLOCOCCUS)
(FOCD POISONING)
PLISZKA, A*
GREKOWICZ, M.; PLISZKA. A.
"Results of biological studies on the toxitity of Pas home-produced food colorings"
p. .9.1+7 (XaUUjU, No. 3,, 1953, Warszawa)
East European Vol. 3, No. 3 4
301 Mo List of###V;V Accessional Library of Congress, March 1951, Uncl-
IRR
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ctrew'll.0c;
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ludiiii"i sp~ -rot bac-
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-st of the tuic
210 WELS.bacttricitIrd.. forthe m
was bactctlcI421. Tit ecu rd 1 in g a rid souri i t (it
tyul at I ' NOW
da
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yt% 1vtre a ven knoy lo.rlAu.11) in..
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diffe.-cocei were not6l bklveen expt
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BURBIAINYA~ U,~ ;t~ PLISZKA, Anna; BURZYNSKAp Halina
.11r.: ......... ..............
Studies jji thc-. carria,--ge of enterotoxic atapbylococci in selected food
plAnts und the correlauion between pbage and serological types, anti-
biogram and enterotoxin production. Med.doBw.mikrob. 13 no.40-309-321
161.
1. Z Zakladu Badania Zyviiom-cl-i Przedmiotow Uzytku PZH.
(SALMONEIM) (FOOD microbiol)
MICH=KI, J.j F1*Vq7&&4 B.
Rgwtior* of dialkamyoxophosphoranesulphonyl chlorides (R0) P(O)SG1
with tetraalkyl eotera of phosphq=s phosphoric anhydride 2
(RIO) J~-~P(0) (0R#') . $ynthesis of isomeric tetraalkyl thio-
pyro~ioaphaUs. Bul 2dm. PAN'10 no.6-.267-269 162.
1. Institute of Organic Synthesis, Polish Academy,ofjSaiences,
WarsaV, and Department of Organic Chemistry, Technical University,
Lodz. ]'resented by O.A.chmatowicz.
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