12 2006

u ýerde
1
⎪⎧
2 N 1 2
( sτA
) = D ( ± sτA
)exp⎨m
i(1
− s)
A
⎪⎩
1
2
Ψ
⎪⎫
⎬
⎪⎭
1
Ψ′ ( sτA 2
) önümi alarys:
1
2 N −1
1 2 1 2
Ψ′ ( sτA
) = D ( ± sτA
)( iA )
−2
1 ⎞ 1 ⎞ ⎪⎧
⎪⎫
⎬
⎪ ⎭
Şeýlelikde,
= ±
1
∫
0
D
N −1
±
⎛
⎟⎜
⎛ × ⎜ −
2 2 ±
1 2
τ s A I iτA
⎟ exp⎨+
i(1
− s)
A
⎝ 4 ⎠⎝
2 ⎠ ⎪⎩
( ± sτA
1/ 2
D
)( iA
⎪⎧ ) − exp⎨
± iA
⎪⎩
⎪⎫
⎬ =
⎪⎭
1
N
( ±
1/ 2
τA
2
3/ 2 1 2 2
1/ 2 −2
) τ
4
1
s (1 ± iτA
2
Soňky toždestwodan we (10) deňsizliklerden alarys:
)
1
2
⎪⎧
exp⎨±
i(1
− s)
A
⎪⎩
1
1
1
[ (
1 2 ⎪⎧ 1
) exp
2
⎪⎫
⎤
N −
1 τ
±
1 2
τ − ⎨ +
−
N −
D A iA ⎬⎥
A ≤ ( τ )
2
∫ D ± s A
⎪⎩ ⎪⎭ ⎥⎦
0
H →
H →H
1
1 2 1 1 1 2 2 ⎪⎧
τ
2
⎪⎫
−
× isA τ ( I ± iτA
) exp⎨m
i(1
− s)
A ⎬ ds ≤
2 2
H →H
⎪⎩ ⎪⎭ 2
→
H
H
H
1
∫
0
1
2
S
⎪⎫
⎬ ds.
⎪ ⎭
τ
sds =
4
Türkmen politehniki
instituty
Kabul edilen wagty
2006-njy ýylyň
Oguz aýynyň 8-i
EDEBIÝAT
1. Ashyralyev A., Yurtsever A., Judakova G. On hyperbolic-elliptic equations in
a Hilbert space, in the book: Some problems of applied mathematics. – Istanbul,
2000. P.70-79.
2. Ashyralyev A., Judakova G. A note on the nonlocal boundary value problem for
hyperbolic-elliptic equations in a Hilbert space, in: Proceeding of the International
conference “Modern mathematical problems”. – Astana, 2002. P.66-70.
3. Ashyralyev A., Sobolevskii P.E. A note on the difference schemes for hyperbolic
equations / Abstract and applied analysis. – Istanbul, 2001. P.63-70.
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