fredgol’mning ikkinchi tur integral tenglamarini ketma-ket yaqinlashish usulida yechish

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1629116989.doc ) ( ) ( ) , ( ) ( x f dy y y x k x b a = - ò j l j - ) ( x j ) , ( y x k ) ( x f b y a b x a £ £ £ £ , b x a £ £ b a , ) ( x f ) , ( y x k l ) ( ) ( ) , ( x f dy y y x k b a = ò j 0 ) ( º x f 0 ) ( ) , ( ) ( = - ò dy y y x k x b a j l j 0 ) ( ) , ( ) ( = - ò dy y y x k x b a y l y a x x f dy y y x k x …

ilgan uzluksiz haqiqiy funksiyalar. funksiya (1) integral tenglamaning ozod hadi, tenglmaning yadrosi, sonli ko‘paytuvchi tenglamaning parametiri deyiladi. fredgol’mning birinchi tur integlamasi deb, (2) ko‘rinishdagi integral tenglamaga aytiladi. agar (1) tenglamada bo‘lsa, ya’ni (3) tenglama (1) mos bo‘lgan bir jinsli integral tenglama deyiladi. bir jinsli (4) tenglama (3) bir jinsli tenglamaga qo‘shma integral tenglama deyiladi. (5) ko‘rinishda bo‘lsa, u vol’terraning ikkinchi tur integral tenglamasi, (6) tekshirib ko‘rish qiyin emaski, agar ikkinchi tur fredgolintegral tenglamasining umumiy echimi mavjud bo‘lsa (7) ko‘rinishga ega bo‘ladi, bunda (3) tenglamaning umumiy echimi, esa (1) tenglamaning umumiy va xususiy echimlari bo‘lsa, bularning ayirmasi (3) tenglamaning echimidan iborat bo‘ladi. bundan darhol (7) tenglik kelib chiqadi. 2. fredgol’m ikkinchi tur integral tenglamasini parametr kichik bo‘lganda ketma-ket yaqinlashish usuli bilan echish. (1) tenglamani tekshiramiz, va funksiyalar o‘zlari aniqlangan sohalrda uzliuksiz bo‘lgani uchun (8) bo‘ladi. agar (1) tenglama parametr (9) shartni qanoatlantirsa, u holda bu tenglamalarning yagona echimi mavjud bo‘lib, uni …

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"fredgol’mning ikkinchi tur integral tenglamarini ketma-ket yaqinlashish usulida yechish" haqida

1629116989.doc ) ( ) ( ) , ( ) ( x f dy y y x k x b a = - ò j l j - ) ( x j ) , ( y x k ) ( x f b y a b x a £ £ £ £ , b x a £ £ b a , ) ( x f ) , ( y x k l ) ( ) ( ) , ( x f dy y y x k b a = ò j 0 ) ( º x f 0 ) ( ) , ( ) ( = - ò dy y y x k x b a j l j 0 ) …

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