ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
179
Ʉɚɤ ɢ ɜ ɩɪɟɞɵɞɭɳɟɦ ɩɨɞɪɚɡɞɟɥɟ, ɞɥɹ ɭɤɚɡɚɧɧɨɣ ɜɵɲɟ ɫɟɬɤɢ
1
A
ɧɚ ɨɬɪɟɡɤɟ
[ ; ]
S S
ɜɜɨɞɹɬɫɹ ɛɚɡɢɫɧɵɟ ɫɩɥɚɣɧɵ
1
H
, …,
1
,
N
H
ɨɩɪɟ-
ɞɟɥɟɧɧɵɟ ɜ (8). ȿɫɥɢ 0
,
i n
d d
ɬɨ ɞɥɹ ɭɤɚɡɚɧɧɨɣ ɜɵɲɟ ɫɟɬɤɢ
i
A
ɫ
ɪɚɫɲɢɪɟɧɢɟɦ
0
,
i
A
ɧɚ ɨɬɪɟɡɤɟ
[
2; 2]
S
S
ɜɜɨɞɹɬɫɹ ɛɚɡɢɫɧɵɟ ɫɩɥɚɣɧɵ
1
,
i
h
…,
1
,
i
N
h
ɮɚɤɬɢɱɟɫɤɢ ɨɩɪɟɞɟɥɟɧɧɵɟ ɜ (9) (ɫɦ. ɬɚɤɠɟ ɜɵɪɚɠɟɧɢɹ
(6)
ɢ (7)). ɗɬɢ ɨɞɧɨɦɟɪɧɵɟ ɛɚɡɢɫɧɵɟ ɫɩɥɚɣɧɵ ɩɨɡɜɨɥɹɸɬ ɜɜɟɫɬɢ ɧɚ
ɩɪɹɦɨɭɝɨɥɶɧɢɤɟ
[ ; ] [
2 ; 2]
S S
S
S
u
3
ɞɜɭɦɟɪɧɵɟ ɫɮɟɪɢɱɟɫɤɢɟ
ɛɚɡɢɫɧɵɟ ɫɩɥɚɣɧɵ ɜɢɞɚ
1
1
1
1
1
2
2
1
( , )
( ) ( ),
[ ; ],
[ 2; 2];
( , )
( ) ( ),
[ ; ],
[ 2; 2];
( , )
( ) ( ),
[ ; ],
[ 2; 2], (12)
N
i
i
i
N
i
i
i
i
i
k
i
k
S
H h
S
H h
S
H h
M T
M
T
M
S S T
S
S
M T
M
T
M
S S
T
S
S
M T
M
T
M
S S
T
S
S
x
x


¦


¦


1
1
1
1
1
1
1
1, 2
;
( , )
( ) ( ),
[ ; ],
[ 2; 2];
( , )
( ) ( ),
[ ; ],
[ 2; 2].
N
i
n
i
n
i
N
i
n
i
n
i
i N
k n
S
H h
S
H h
M T
M
T M
S S
T
S
S
M T
M
T
M
S S
T
S
S
x
x
­
°
°
°
°
°
°°
®
d d
d d
°
°
°


¦
°
°
°


¦
°¯
ɍɠɟ ɭɤɚɡɵɜɚɥɨɫɶ, ɱɬɨ ɞɥɹ
1, ...,
1
i
N
ɫɩɥɚɣɧ
i
H
ɢɡ (8) ɜ ɤɨɧɰɚɯ
ɨɬɪɟɡɤɚ
[ ; ]
S S
ɢɦɟɟɬ ɨɞɢɧɚɤɨɜɵɟ ɡɧɚɱɟɧɢɹ ɢ ɪɚɜɧɵɟ ɨɞɧɨɫɬɨɪɨɧɧɢɟ
ɩɪɨɢɡɜɨɞɧɵɟ. Ʉɪɨɦɟ ɬɨɝɨ, ɞɥɹ
1, ...,
1
k
n
ɫɩɥɚɣɧ
,
i
k
h
ɚɧɚɥɨɝɢɱɧɵɣ
ɫɩɥɚɣɧɭ
k
h
ɢɡ (9), ɢɦɟɟɬ ɜ ɤɨɧɰɚɯ ɨɬɪɟɡɤɚ
[
2; 2]
S
S
ɧɭɥɟɜɵɟ ɩɪɨ-
ɢɡɜɨɞɧɵɟ. ȼɫɥɟɞɫɬɜɢɟ ɬɚɤɢɯ ɫɜɨɣɫɬɜ ɞɥɹ
, 1, ...,
1
m
N
<
ɢ
1, ...,
1
k
n
ɜ ɝɪɚɧɢɱɧɵɯ ɬɨɱɤɚɯ ɩɪɹɦɨɭɝɨɥɶɧɢɤɚ
[ ; ]
S S
u
[
2; 2]
S
S
u
3
ɫɩɥɚɣɧ
m
k
S
ɭɞɨɜɥɟɬɜɨɪɹɟɬ ɭɫɥɨɜɢɹɦ
( ; )
( ; ),
[
2 ; 2];
( ; )
( ; ) ,
[
2 ; 2];
( ;
2)
( ; 2) 0,
[ ; ].
m
m
k
k
m
m
k
k
m
m
k
k
S
S
S
S
S
S
S T
S T
T
S
S
S T
S T
T
S
S
M
M
M
S
M S
M
S S
T
T
­
°

°
° w
w
°

®
w
w
°
°
w
w
°

°
w
w
¯
(13)