ISSN 1812-3368. ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ. ɇ.ɗ. Ȼɚɭɦɚɧɚ. ɋɟɪ. «ȿɫɬɟɫɬɜɟɧɧɵɟ ɧɚɭɤɢ». 2012
30
ɩɪɢ ɷɬɨɦ
;
,
D
D
d
t
dt
x F x
,
,
.
N
t
P
N P N
t
t
t t
t
t
d
W
W
W
W
³
x
ĭ x
ĭ B ȟ
(4)
Ɇɚɬɪɢɱɧɚɹ ɮɭɧɤɰɢɹ
,
t
W
ĭ
ɭɞɨɜɥɟɬɜɨɪɹɟɬ ɭɪɚɜɧɟɧɢɸ
,
,
D
N
N
t
t t
x
d t t
dt
w
w
x x
F ĭ
ĭ
ɩɪɢ ɧɚɱɚɥɶɧɵɯ ɭɫɥɨɜɢɹɯ
,
;
N N
t t
ĭ E
P N
t
x
—
ɜɟɤɬɨɪ, ɩɚɪɚɦɟɬ-
ɪɢɡɭɸɳɢɣ ɫɟɦɟɣɫɬɜɨ ɮɭɧɤɰɢɣ
.
P
t
x
ɉɨɤɚɠɟɦ, ɱɬɨ
A
t
x
ɚɩɩɪɨɤɫɢɦɢɪɭɟɬ ɪɟɲɟɧɢɹ ɫɢɫɬɟɦɵ (1). Ⱦɟɣ-
ɫɬɜɢɬɟɥɶɧɨ,
( )
,
,
A
D
N P N
D
t
t
t t
t
d
dt
w
w
x x
x
ĭ x
x
F
F
x
( )
( ) ( )
,
( ) ( ) .
N
t
t
D
t
t t
t
d
W
W
W
W
w
w
³
x x
ȟ
ĭ
ȟ
F
B
B
x
ɋɝɪɭɩɩɢɪɨɜɚɜ ɱɥɟɧɵ, ɫɨɞɟɪɠɚɳɢɟ
( )
,
D
t
w
w
x x
F
x
ɢ ɢɫɩɨɥɶɡɨɜɚɜ ɫɨ-
ɨɬɧɨɲɟɧɢɟ (4), ɩɨɥɭɱɢɦ
( )
,
( ) ( ).
A
D
P
D
t
t
t
t t
d
dt
w
w
x x
x
x
ȟ
x
F
F
B
x
ɉɨɫɤɨɥɶɤɭ
( )
,
,
,
,
A
D P
D
P
D
t
t
t
t
t
|
w
w
x x
x
x x
x
x
F
F
F
F
x
ɬɨ
A
t
x
ɚɩɩɪɨɤɫɢɦɢɪɭɟɬ ɪɟɲɟɧɢɟ ɭɪɚɜɧɟɧɢɹ (1).
Ɉɬɦɟɬɢɦ, ɱɬɨ
P
t
x
ɭɞɨɜɥɟɬɜɨɪɹɟɬ ɥɢɧɟɣɧɨɦɭ ɫɬɨɯɚɫɬɢɱɟɫɤɨɦɭ
ɞɢɮɮɟɪɟɧɰɢɚɥɶɧɨɦɭ ɭɪɚɜɧɟɧɢɸ
( )
( ) ( ).
P
P
D
t
t
t t
d
dt
w
w
x x
x
B ȟ
x F
x