1、a0a2a1a4a3a4a5a4a6a4a7a4a8a4a9a4a10a4a11a4a7 a12a14a13a14a15a17a16a14a18a14a19a14a20a21 8a22a24a23 n a25a24a26a24a27a24a28a24a29a24a30a31a24a32a24a33a24a34a24a35 na36a24a37a24a38a24a39a24a40a24a41a24a42a24a43x(n) = f(t;x;x0; ;x(n 1) (E)na44a24a45a24a46a24a47a24a33a24a48a24a49x1 = x; x2 = x0; ; xn =
2、x(n 1)a50 a35a52a51a24a53a24a54a24a55a24a56a24a57a39a24a58a60a59a24a61a60a62a24a42a60a43a60a63a24a648:x01 = x2;. . . . . . . . . . . . . . . . . . . . .x0n 1 = xn;x0n = f(t;x1; ;xn);a65 (E)n a59a24a66a24a67a24a68a24a69x( ) = 0; x0( ) = 1; ; x(n 1)( ) = n 1 (8.1)a70a24a71a24a72a61a24a62a24a42a24a43a2
3、4a63a24a59a56a24a57a66a60a67a24a68a60a69a24a64x1( ) = 0; x2( ) = 1; ; xn( ) = n 1:a73a24a74a24a75a24a76a61a24a62a24a77a35a79a78a24a80a24a81a60a82a24a83a60a84a60a85a24a86a60a87a42a60a43a24a63a60a59a24a88a60a89a35a79a90a60a51a60a53a60a91a24a92a42a24a43 (E)na93a94a24a95a52a96a24a97 a35a52a98 f(t;x1; ;x
4、n)a87a100a99a79a101R : jt j a; jx1 0j + + jxn n 1j b (8.2)a93a103a102a103a104a35a52a70a42a105a43 (E)na106a103a107a66a103a67a103a68a108a69 (8.1) a59a103a109a87 jt j ha93a103a110a44a103a35a52a111a108a112h = minfa; bMg, a65 M a113a48a60a49 jx2j + + jxnj + jf(t;x1; ;xn)ja44 Ra93a59a60a114a115a93a117a116
5、a95a119a118a117a97 a35a120a98 f(t;x1;x2; ;xn)a44 (t;x1;x2; ;xn) a121a123a122a101 Ga124a102a117a104a35a119a70(E)n a59a117a114a117a125a117a126a117a127a117a128a117a109a35a130a129a24a51a100a131a79a132a24a35a133a131a79a134a24a135a24a136a24a55a127a24a128a24a109a24a137a130a127a24a128a24a109a24a59a110a44a10
6、0a138a122a79a139a72a24a140a115a117a141a138a122 a 0, a143 (t) ! , a144 t! +1.a193a195a194a64a196a42a195a43a195a197a195a198a117a199a53 2x0,a200a51a195a201a163 02(t) 2 cos(t), 02(t) 2(1+cos (t).a201a24a202a100a203a79a204a24a205 x = a206a24a113a24a207a24a42a24a43a24a59a24a109a952. a186a100a187 a56a24a20
7、8 a42a24a43a24a59a24a114a115a109a60a188a51a60a135a60a136a24a87a60a189a159 ta190a951) x00 +x + 2x3 = 0;2) x00 +x0 +x+ 2x3 = 0.a193a24a194a64a52a42a24a43a24a197a24a149a24a199a53 2x0.3. a209a24a210a24a211a48a24a49 f(t;x1;x2)a87 (t;x1;x2) a121a100a122 a102a24a104a51a40a95a182a24a66a24a67a213a212a79a214x
8、00 = f(t;x;x0); x( ) = 0; x0( ) = 1a59a24a109a72 x = (t; ; 0; 1). a215a24a162a100a163 , 0 , 1a84a106a24a107a59a24a66a24a67a100a212a79a214a954. a97 a89 f(t;x1;x2) a113 (t;x1;x2) a121a123a122a85a116a59a102a117a104a51a40a48a117a49a24a35a143fx1 (t;x1;x2) 0, a70 a149a24a67a100a212a79a214x00 = f(t;x;x0);
9、x(0) = 0 = x(1)a59a24a109a110a44a24a35a52a216a115a95a193a24a194a64a157a24a217a186a100a187a93a214a60a218a48a60a49 (t;0;0; 1)a87 0 t 1a110a44a24a35a143a85a24a216a115a59 1a154a117a155 (1;0;0; 1)= 0. a50 a115 a146a157a117a217a186a100a187a64 1 (1;0;0; 1) 0 a219a85a117a220a117a49 1; 2, a154a117a155(1;0;0; 1) 0 (1;0;0; 2).2
