VOLUME 3, 2012 NUMBER 4
http://repository.enu.kz:8080/handle/data/10631
2020-04-01T23:39:01ZWEIGHTED ESTIMATE FOR A CLASS OF MATRICES ON THE CONE OF MONOTONE SEQUENCES
http://repository.enu.kz:8080/handle/data/10786
WEIGHTED ESTIMATE FOR A CLASS OF MATRICES ON THE CONE OF MONOTONE SEQUENCES
Zh.A. Taspaganbetova
Weighted estimate for a class of non-negative lower triangular matrices has
been established on the cone of monotone sequences.
2013-06-26T00:00:00ZTHE DIRICHLET PROBLEM FOR THE GENERALIZED BI-AXIALLY SYMMETRIC HELMHOLTZ EQUATION
http://repository.enu.kz:8080/handle/data/10785
THE DIRICHLET PROBLEM FOR THE GENERALIZED BI-AXIALLY SYMMETRIC HELMHOLTZ EQUATION
M.S. Salakhitdinov; A. Hasanov
In [18], fundamental solutions for the generalized bi-axially symmetric
Helmholtz equation were constructed in R+
2 = {(x, y) : x > 0, y > 0} . They contain
Kummer’s confluent hypergeometric functions in three variables. In this paper, using
one of the constructed fundamental solutions, the Dirichlet problem is solved in the
domain
R+
2 . Using the method of Green’s functions, solution of this problem is
found in an explicit form.
2013-06-26T00:00:00ZORTHOGONALITY AND SMOOTH POINTS IN C(K) AND Cb( )
http://repository.enu.kz:8080/handle/data/10784
ORTHOGONALITY AND SMOOTH POINTS IN C(K) AND Cb( )
D.J. Keˇcki´
For the usual norm on spaces C(K) and Cb(
) of all continuous functions on
a compact Hausdorff space K (all bounded continuous functions on a locally compact
Hausdorff space
), the following equalities are proved:
lim
t!0+
||f + tg||C(K) − ||f||C(K)
t
= max
x2{z | |f(z)|=||f||}
Re(e−i arg f(x)g(x)).
and
lim
t!0+
||f + tg||Cb(
) − ||f||Cb(
)
t
= inf
>0
sup
x2{z | |f(z)| ||f||− }
Re(e−i arg f(x)g(x)).
These equalities are used to characterize the orthogonality in the sense of James
(Birkhoff) in spaces C(K) and Cb(
) as well as to give necessary and sufficient conditions
for a point on the unit sphere to be a smooth point.
2013-06-26T00:00:00ZON DIRECT VARIATIONAL FORMULATIONS FOR SECOND ORDER EVOLUTIONARY EQUATIONS
http://repository.enu.kz:8080/handle/data/10783
ON DIRECT VARIATIONAL FORMULATIONS FOR SECOND ORDER EVOLUTIONARY EQUATIONS
S.A. Budochkina; V.M. Savchin
The existence of direct variational formulations for a wide class of second
order evolutionary equations is investigated.
2013-06-26T00:00:00Z