ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
180
ɋɥɟɞɨɜɚɬɟɥɶɧɨ, ɥɸɛɨɣ ɫɩɥɚɣɧ
S
ɢɡ ɥɢɧɟɣɧɨɣ ɨɛɨɥɨɱɤɢ ɫɩɥɚɣɧɨɜ
ɜɢɞɚ (11) ɜ ɬɨɱɤɚɯ ɛɨɤɨɜɵɯ ɝɪɚɧɢɰ ɩɪɹɦɨɭɝɨɥɶɧɢɤɚ
[ ; ]
S S
u
[
2; 2]
S
S
u
3
ɭɞɨɜɥɟɬɜɨɪɹɟɬ ɭɫɥɨɜɢɹɦ «ɩɟɪɢɨɞɢɱɧɨɫɬɢ»:
( ; )
( ; ),
[
2 ; 2];
( ; )
( ; ) ,
[
2 ; 2].
S
S
S
S
S T
S T
T
S
S
S T
S T
T
S
S
M
M

­
°°
® w
w
°

w
w
°¯
(14)
Ʉɪɨɦɟ ɬɨɝɨ, ɜɫɥɟɞɫɬɜɢɟ ɜɢɞɚ ɛɚɡɢɫɧɵɯ ɫɩɥɚɣɧɨɜ (11) (ɫɦ. ɬɚɤ-
ɠɟ ɜɵɪɚɠɟɧɢɹ (3), (6), (7), (8) ɢ (13)) ɢ ɬɨɠɞɟɫɬɜ (10) ɞɥɹ ɥɸɛɨ-
ɝɨ ɜ ɬɨɱɤɚɯ ɜɟɪɯɧɟɣ ɢ ɧɢɠɧɟɣ ɝɪɚɧɢɰ ɩɪɹɦɨɭɝɨɥɶɧɢɤɚ [ ; ]
S S
u
[
2 ; 2]
S
S
u
3
ɫɩɪɚɜɟɞɥɢɜɵ ɫɨɨɬɧɨɲɟɧɢɹ
( ;
2)
( ;
2)
( ;
2),
[ ; ];
( ; 2)
( ; 2)
( ; 2),
[ ; ];
( ;
2)
( ; 2) 0,
[ ; ].
S
S
S
S
S
S
S
S
M
S
S
S
S
S
M
S S
M S
S S
S S
M
S S
M
S
M S
M
S S
T
T
­
°

°
°

®
°
° w
w
°

w
w
¯
(15)
ɋɜɨɣɫɬɜɚ (14) ɢ (15) ɫɩɥɚɣɧɚ
S
ɩɨɡɜɨ-
ɥɹɸɬ ɪɚɫɫɦɚɬɪɢɜɚɬɶ ɟɝɨ ɤɚɤ ɝɥɚɞɤɭɸ ɮɭɧɤ-
ɰɢɸ, ɡɚɞɚɧɧɭɸ ɧɚ ɫɮɟɪɟ ɟɞɢɧɢɱɧɨɝɨ ɪɚɞɢɭɫɚ,
ɬ. ɟ. ɤɚɤ ɫɮɟɪɢɱɟɫɤɢɣ ɫɩɥɚɣɧ, ɫɨɝɥɚɫɧɨ ɜɜɟ-
ɞɟɧɧɨɣ ɜɵɲɟ ɬɟɪɦɢɧɨɥɨɝɢɢ. ɋɥɟɞɨɜɚɬɟɥɶɧɨ,
ɷɬɨɬ ɫɮɟɪɢɱɟɫɤɢɣ ɫɩɥɚɣɧ ɨɩɢɫɵɜɚɟɬ ɝɥɚɞɤɭɸ
ɩɨɜɟɪɯɧɨɫɬɶ, ɨɝɪɚɧɢɱɢɜɚɸɳɭɸ ɧɟɤɨɬɨɪɭɸ
ɡɜɟɡɞɧɭɸ ɨɛɥɚɫɬɶ ɟɜɤɥɢɞɨɜɚ ɩɪɨɫɬɪɚɧɫɬɜɚ.
ȼ ɱɚɫɬɧɨɫɬɢ, ɟɫɥɢ ɷɬɨɬ ɫɩɥɚɣɧ ɢɦɟɟɬ ɜɢɞ
1 1
1 2
1
1 3
,
N n
i
n n
k
i
k
S S S
S S S
x
x
x
x
¦¦
(16)
ɧɚ ɩɪɹɦɨɭɝɨɥɶɧɢɤɟ
[ ; ] [
2; 2]
S S
S
S
u
3
ɜɵɩɨɥɧɹɟɬɫɹ ɬɨɠɞɟɫɬɜɨ
.
1
S
{
(17)
Ɍɚɤɨɣ ɫɩɥɚɣɧ ɨɩɢɫɵɜɚɟɬ ɫɮɟɪɭ ɟɞɢɧɢɱɧɨɝɨ ɪɚɞɢɭɫɚ, ɩɨɤɚɡɚɧɧɭɸ ɧɚ
ɪɢɫ. 1, ɝɞɟ
5.
N n
Ɋɢɫ. 1. ɉɪɟɞɫɬɚɜɥɟɧɢɟ
ɫɮɟɪɵ ɫ ɩɨɦɨɳɶɸ ɫɩɟ-
ɰɢɚɥɶɧɨɝɨ ɫɮɟɪɢɱɟɫɤɨ-
ɝɨ ɫɩɥɚɣɧɚ