SCIENTIFIC ABSTRACT KUZNETSOV, N. N. - KUZNETSOV, N. T.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000928120020-7
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 20, 2000
• Sequence Number: 20
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

7
The Exi3tence and Uniqueness of the Generalized SOV/20-126-3-7/(-9
Solution to Cauohy Problem for the Inhomogeneous
Conservation Law
(t,X)
x%
f u(t,x)dx [NP( U,t,x) - F(t )I dt
(0,0)
is denoted to be the potential of the generalized solution. The
potential satisfies the equation
X
t
(2) (99t,Z) t,3? d~
Ica
and the initial condition
X
(3) 0(0,x) - k(x) - JU0(~) d
0
it is asserted that the initial problem for (1) is equivalent
with (2) (3). The existence and uniqueness of the solution of
Card 2/
-M

Th-3 Existenze and Uniqueness of the Generalized SOV/20-126-3-7/f9
Solution to Cauchy Problem for the Inhomogenecus
Cc~nssrvation Law
the Cau,--hy problem is proved for (1) by proving the existen,.~e
of a unique solution of (2) - (3) by successive approximation.
The present paper generalizes the previous papers of the authors
,~-Ref 1, 22.
There axe 4 Soviet references.
PRESEITTEDi February 13, 1959, by M.V.Keldysh, Icademician
SUBMITTED; February 79 1959
Card 3/3

KUZNETSOV9 N. N.
Cand Phys-Math Sci - (diss) "Study of solution to systems of quasi-
linear hyperbolic type equations." Moscow, 1961. 8 pp; (Moscow
Order of Lenin and Order of Labor Red Banner State Univ imeni M.
V. Lomonosov); 225 copies; price not given; (KL, 6-61 sup, 194)

S/044/62/000/006/029/12'T
B158/B112
AUTH023: Kuzretsov, N. N., Rozhdestvenskiy, B. L.
TITLE: Solution of the Cauchy problem for one system of quasi'-linear
equations with several independent variables
PERIODICAL: Referativnyy zhurnal. Matematika, no. 6, 1962,'72.-73,
abstract 6B300 (Zh. vychisl. matem. i matem. fiz#, v. 1,
no. 2, 1961) 217 - 223)
TEXT& The Cauchy problem in a semi-spaae t,~PO is considered for a system
4j A.;( 0) (1)
with the initial condition
V(01 x, Y) - 'cb(xl Y)' (2)
) (C2,
H e r e -