vol’terraning ikkinchi tur integral tenglamasi. terasiyalangan yadro. rezol’venta

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1662926015.doc ò + = x a x f dy y y x k x ) ( ) ( ) , ( ) ( j l j .... ), ( , ...... ), ( ), ( ), ( 2 1 0 x x x x n j j j j ò - + = x a n n dy y y x k x f x ) ( ) , ( ) ( ), ( 1 0 j l j j ) , ( max , ) ( max y x k n x f m = = , ) ( 0 m x £ j ,....., ) ( ) ( ) , ( ) ( ) ( 0 0 1 ò - £ = - x a a x mn y d y y x k x x l j l j j , .... , 2 , 1 , …
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holda (3) tengsizlikga ega bo’lamiz. musbat hadli funksional qator parametrning ixtiyoriy chekli qiymatida tekis yaqinlashuvchi bo’lgani uchun (3) tengsizliklarga asosan (1) funksiyalar ketma – ketligi absolyut va tekis yaqinlashuvchi bo’lib, uning limiti bo’lgan funksiya (1) tenglamaning yechimidan iborat bo’ladi. endi (1) tenglam yechimining yagona ekanligini ko’rsatamiz. faraz qilaylik (1) tenglama ikkita va uzluksiz yechimlarga ega bo’lsin. bularning ayirmasi bir jinsli (4) tenglamani qanoatlantiradi. deb belgilab olsak, (4) dan darhol tengsizlik kelib chiqadi. bundan foydalanib (4) tenglikdan tengsizlikni hosil qilamiz. bu jarayonni davom ettirib, ixtiyoriy natural uchun tengsizlikni hosil qilamiz. bu tengsizlikdan da yoki ekanligi kelib chiqadi. shunday qilib quyidagi xulosaga keldik. vol’terraning ikkinchi tur (1) integral tenglamasi, uning yadrosi va ozod hadi uzluksiz fuksiyalar bo’lgabda parametrning har bir chekli qiymatida yagona yechimga ega bo’ladi. shu dalil bilan vol’terraning ikkinchi tur integral tenglamasi har bir uchun yechimga ega bo’lavermaydigan fredgolmning ikkinchi tur integral tenglamasidan tubdan farq qiladi. 2. iterasiyalangan yadro. tengsizlik …
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chimini rezol’venta yordamida ko’rinishda yozishimiz mumkin. _1228894381.unknown _1228895557.unknown _1228898252.unknown _1229154294.unknown _1229154439.unknown _1229154659.unknown _1228914075.unknown _1228914341.unknown _1228914512.unknown _1228914685.unknown _1228914194.unknown _1228913428.unknown _1228913575.unknown _1228913324.unknown _1228897297.unknown _1228897827.unknown _1228898054.unknown _1228897579.unknown _1228896960.unknown _1228897254.unknown _1228896541.unknown _1228895021.unknown _1228895462.unknown _1228895516.unknown _1228895077.unknown _1228894810.unknown _1228894956.unknown _1228894510.unknown _1228892447.unknown _1228893299.unknown _1228893797.unknown _1228894092.unknown _1228893508.unknown _1228892973.unknown _1228893266.unknown _1228892521.unknown _1228891141.unknown _1228891720.unknown _1228891959.unknown _1228891305.unknown _1228890858.unknown _1228891073.unknown _1228890431.unknown
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1662926015.doc ò + = x a x f dy y y x k x ) ( ) ( ) , ( ) ( j l j .... ), ( , ...... ), ( ), ( ), ( 2 1 0 x x x x n j j j j ò - + = x a n n dy y y x k x f x ) ( ) , ( ) ( ), ( 1 0 j l j j ) , ( max , ) ( max y x k n x f m = = , ) ( 0 m x £ j ,....., ) ( ) ( ) , ( ) ( ) ( 0 0 1 …

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