Ɂɚɞɚɱɚ (4)-(6) ɧɟ ɩɪɨɫɬɿɲɟ ɧɿɠ ɜɢɯɿɞɧɚ ɡɚɞɚɱɚ (1)-(2), ɚ ɳɟ ɣ ɫɤɥɚɞɧɿɲɚ ɡɚ ɧɟʀ. ɋɩɪɨɫɬɢɦɨ ʀʀ, ɡɚɫɬɨɫɭɜɚɜɲɢ ɞɨ ɡɚɞɚɱɿ Ʉɨɲɿ (6) ɱɢɫɟɥɶɧɢɣ ɦɟɬɨɞ,
ɧɚɩɪɢɤɥɚɞ, ɦɟɬɨɞ ȿɣɥɟɪɚ: |
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V k 1 (x) |
V k (x) ' Z k (x), V 0 (x) |
Y(x) . |
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k ), ' |
k 1 |
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Ɍɭɬ V k (x) |
V(x, |
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k , 0 |
0, K |
1, k |
1,K . |
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Ɂɧɚɣɞɟɧɟ |
ɧɚɛɥɢɠɟɧɧɹ |
V k 1 (x) |
ɜɢɤɨɪɢɫɬɨɜɭɽɬɶɫɹ |
ɞɥɹ ɡɧɚɯɨɞɠɟɧɧɹ |
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&k 1 |
(x) ɥɿɧɿɣɧɨʀ ɤɪɚɣɨɜɨʀ ɡɚɞɚɱɿ (4), (5). |
ɧɚɫɬɭɩɧɨɝɨ ɧɚɛɥɢɠɟɧɧɹ Z |
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ɉɨɜɧɿɫɬɸ ɚɥɝɨɪɢɬɦ ɪɨɡɜ‘ɹɡɚɧɧɹ ɤɪɚɣɨɜɨʀ ɡɚɞɚɱɿ (1), (2) ɰɢɦ ɦɟɬɨɞɨɦ |
ɬɚɤɢɣ: |
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Ɋɨɡɜ‘ɹɡɭɽɦɨ ɡɚɞɚɱɭ Ʉɨɲɿ |
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1. |
(3). Ɂɚɞɚɽɦɨ ɩɨɱɚɬɤɨɜɿ ɡɧɚɱɟɧɧɹ V 0 (x) Y(x) . |
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Ⱦɥɹ k |
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ɪɨɡɜ‘ɹɡɭɽɦɨ ɥɿɧɿɣɧɿ ɤɪɚɣɨɜɿ ɡɚɞɚɱɿ: |
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2. |
1&, K |
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dZ k |
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)F x,V k |
Z k , a x b, |
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dx |
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)a V k (a),V k (b) Z k (a) )b V k (a),V k (b) Z k (b) |
d d 0 ; |
3. |
ɉɪɨɞɨɜɠɭɽɦɨ ɪɨɡɜ‘ɹɡɨɤ ɩɨ ɩɚɪɚɦɟɬɪɭ |
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V k 1 (x) V k (x) ' Z k (x). |
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x |
V K (x). |
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4. |
ɒɭɤɚɧɢɣ ɪɨɡɜ‘ɹɡɨɤ U |
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Ʌɿɧɿɣɧɿ ɤɪɚɣɨɜɿ ɡɚɞɚɱɿ ɩɭɧɤɬɭ 2 ɪɨɡɜ‘ɹɡɭɸɬɶɫɹ, ɧɚɩɪɢɤɥɚɞ, ɦɟɬɨɞɨɦ ɫɬɪɿɥɶɛɢ. Ⱦɥɹ ɪɨɡɜ‘ɹɡɚɧɧɹ ɡɚɞɚɱɿ Ʉɨɲɿ (6) ɦɨɠɧɚ ɡɚɫɬɨɫɨɜɭɜɚɬɢ ɛɿɥɶɲ ɬɨɱɧɿ ɦɟɬɨɞɢ ɧɿɠ ɦɟɬɨɞ ȿɣɥɟɪɚ.
