гиперболик типдаги дифференциал тенглаламалар хакида

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1576308440.doc å = - - + + = × £ ± n i i e n n j q ny 0 2 5 ) 1 ( 3 ) 1 ( 2 3 , 2 , 2 0 a u u . 0 ³ m ) 2 ( 0 = + yy xx u yu 0 = y 0 = = + const m u u y signy yy xx m 0 = y 0 > y 0 n 0 > m - 2 2 2 2 1 1 1 1 , , , , , , , f c b a f c b a 0 = y 0 = y 0 = y ) 7 ( 0 = + + + - cu bu au u u у x y xx yy m ) 0 , ( x a 0 = y 0 ) ( ' , 0 ) …

cos( ) ( 2 1 ) , cos( ) ( 2 1 ) ( ) ( ò òò þ ý ü î í ì ú û ù ê ë é + ¶ ¶ - ¶ ¶ + ú û ù ê ë é + ¶ ¶ - ¶ ¶ - = - s d ds y n buv x v u x u v x n auv y v u y u v dxdy v um u v a 0 ) ( ' y ) 1 . 5 . 1 ( 0 ), , ( ) , ( ) , ( ) , ( > = + + + - y y x f u y x c u y x b u y x a u уu x y xx yy f c b a , , , 0 > y 0 = y ) 2 . 5 . …

t h x h x h x h x h x x x t h h h h x x t h h x x ò ò ò ò ò ò + - - - + - - - - = = = ) , , , ( 0 0 0 h x h x r 0 2 1 2 1 = - - + - - + h x xh x h a x h a u u u ), , 1 , 2 1 , 2 1 ( 2 1 0 2 1 0 1 2 0 0 0 ) ( ) ( ) )( , , , ( d a a a a a x h x h x h h x h x - - - - - - - - f r 1 0 1 0 0 0 ) ( ) )( )( ( - …

= + + + - = y f cu bu au u yu u l x y xx yy 0 , , = = = c const b const a ) 11 . 6 . 1 ( 2 2 2 1 c const y x c const y x = = + = = = - = h x ) 12 . 6 . 1 ( . 0 , 0 ) ( > = + + - = y bu au u yu u l x y xx yy - h x , 0 ) 4 2 1 ( ) 4 2 1 ( ) ( = + - - - - - - + = h x xh h x h x u b a u b a u u l 1 1 , , h h x x h x = = = ) ( u l ) …

( 4 ) 2 ( 2 2 ) 1 ( 2 2 2 0 h x h x h x - × ú û ù ê ë é × - - - × - - - = - + - - - b n a n n b n n m n m n 1 , , h h x x h x = = = ) 23 . 6 . 1 ( . ) , 1 ) 2 ( 2 ) 1 ( 2 ( ) , , , ( ) ; , ( 1 1 0 1 1 s h x h x h x h x n n n n f r r - - - - × = ), ) , ( ) ( exp( ) , ; ( 2 2 2 2 1 1 1 0 1 1 x h x h xh h x …

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1576308440.doc å = - - + + = × £ ± n i i e n n j q ny 0 2 5 ) 1 ( 3 ) 1 ( 2 3 , 2 , 2 0 a u u . 0 ³ m ) 2 ( 0 = + yy xx u yu 0 = y 0 = = + const m u u y signy yy xx m 0 = y 0 > y 0 n 0 > m - 2 2 2 2 1 1 1 1 , , , , , , , f c b a f c b a 0 = y 0 = y 0 = y ) 7 ( 0 = + …

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