6
П.В. Храпов
1
( , , , ) exp{ (
1)
(
)},
rh
rh
H L h p r
L r p LO p
* 2(
)
* 2(
1)
( , ,ȕ, ) exp{ (
1)(ȕ )
((ȕ )
)};
h r
h r
H L h r
L r
LO
ɛ) ɡɚɞɚɱɚ ɧɚɯɨɠɞɟɧɢɹ ɜɟɪɨɹɬɧɨɫɬɢ ɧɟɩɪɨɬɟɤɚɧɢɹ ɜ ɪɟɲɟɬɨɱɧɨɣ
ɡɚɞɚɱɟ ɫɜɹɡɢ [2];
ɜ) ɛɟɡ ɢɡɦɟɧɟɧɢɣ ɜɫɟ ɪɚɫɱɟɬɵ ɩɪɨɯɨɞɹɬ ɞɥɹ ɩɪɨɢɡɜɨɥɶɧɨɣ
ɪɟɲɟɬɨɱɧɨɣ ɦɨɞɟɥɢ, ɞɥɹ ɤɨɬɨɪɨɣ ɢɦɟɟɬ ɦɟɫɬɨ ɪɚɡɥɨɠɟɧɢɟ ɜɢɞɚ,
ɨɩɢɫɚɧɧɨɝɨ ɜ ɥɟɦɦɟ 1 [7].
Ɂɚɦɟɱɚɧɢɟ
. ȼ ɫɬɚɬɶɟ [8] ɪɚɫɫɦɚɬɪɢɜɚɟɬɫɹ ɩɪɨɬɟɤɚɧɢɟ ɜ ɤɨɧɟɱɧɨɣ
ɩɨɥɨɫɟ ɞɥɹ ɧɟɡɚɜɢɫɢɦɨɝɨ ɩɨɥɹ ɧɚ ɪɟɲɟɬɤɟ
2
]
ɩɪɢ ɦɚɥɵɯ
p
. Ɇɟɬɨɞɵ
[8] ɧɟ ɩɪɟɞɫɬɚɜɥɹɟɬɫɹ ɜɨɡɦɨɠɧɵɦ ɨɛɨɛɳɢɬɶ ɧɚ ɪɟɲɟɬɤɢ ɛɨɥɟɟ
ɜɵɫɨɤɨɣ ɪɚɡɦɟɪɧɨɫɬɢ ɢ ɡɚɜɢɫɢɦɵɟ ɩɨɥɹ.
Ⱦɨɤɚɡɚɬɟɥɶɫɬɜɨ ɬɟɨɪɟɦɵ 3
. Ȼɭɞɟɦ ɫɱɢɬɚɬɶ, ɱɬɨ
(1) (1)
(2)
,
n
n n
n
L k L L
(2)
(1)
,
n
n
L L
(2)
(1)
(2)
,
n
n
n
n
M k M M
(2)
(1)
,
n
n
M M
ɝɞɟ
(1) (2) (1)
(1)
,
,
,
n n
n
n
k k L M
o f
ɩɪɢ
n
ĺ
f
.
ɉɨɥɟ ɧɟɡɚɜɢɫɢɦɨɟ, ɫɥɭɱɚɣ ɡɚɜɢɫɢɦɨɝɨ ɩɨɥɹ ɢɫɫɥɟɞɭɟɬɫɹ
ɫɨɜɟɪɲɟɧɧɨ ɚɧɚɥɨɝɢɱɧɨ.
Ɋɚɫɫɦɨɬɪɢɦ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨɫɬɶ ɨɛɴɟɦɨɜ
,
n
/
(1) (1)
,
n
n n
L k L
c
(2) (1)
,
n
n n
M k M
c
,
1
,
k
n
n i
i
c/ /
*
(1) (2)
,
n
n n
k k k k
,
ȗ
n i
— ɤɨɥɢɱɟɫɬɜɨ ɤɨɧ-
ɬɭɪɨɜ ɩɪɨɬɟɤɚɧɢɹ ɜ
/
n,i
,
i
= 1, …,
k
.
Ⱦɥɹ ɞɨɤɚɡɚɬɟɥɶɫɬɜɚ ɬɟɨɪɟɦɵ ɧɚɦ ɞɨɫɬɚɬɨɱɧɨ ɩɪɨɜɟɪɢɬɶ ɜɵɩɨɥ-
ɧɟɧɢɟ ɫɥɟɞɭɸɳɢɯ ɭɫɥɨɜɢɣ:
ɚ)
Ȝ (Ȝ )
,
{ȗ 0}
;
k o k
n i
P
e
ɛ)
,
{ȗ 2} (Ȝ ),
n i
P
o k
t
1,..., ;
i
k
ɜ)
,1
,
{ȗ (ȗ ... ȗ ) 0}
0.
n
n
n k
n
P
of
z o
ɉɨɤɚɠɟɦ ɜɵɩɨɥɧɟɧɢɟ ɷɬɢɯ ɭɫɥɨɜɢɣ:
ɚ)
(1)
(1)
,
{ȗ 0} exp{
(1 ( ))}
k
n i
n n n
n
P
L M p O p
(2)
(2)
(1) (2)
(
)(
)
exp{(1 ( ))
}
n
n
n
n
h
n
n
n n
L L M M
O p
p
k k
(2)
(2)
(2)
(2)
(1) (2)
(1) (2)
(1) (2)
Ȝ Ȝ
Ȝ
Ȝ
exp{(
)(1 ( ))}
n
n
n n
n
n n
n
n n
n
n n
n n
L
M
L M O p
k k k L k k M k k L M
exp{ Ȝ
( Ȝ )};
k o k
