«INTEGRAL TENGLAMALARNI YECHISH METODLARI» M U N D A R I J A KIRISH ......................................................................................................................3 I bob. Funksional qatorlar ....................................................................................13 1-§. Qatorlarning ba’zi xossalari.. ..........................................................................13 I bob. Integral tenglamalarni yechish usullari .....................................................18 2-§. Integral tenglamalarni ketma-ket o‘rniga qo‘yish usulida yechish ................18 3-§. Volterra tipidagi integral tenglamalar ............................................................22 4-§. Ketma-ket yaqinlashishlar usuli .....................................................................25 5-§. Yadroni iteratsiyalash .....................................................................................28 6-§. Fredholm tenglamasining Volterra tomonidan berilgan yechimi....................30 III bob. Integral tenglamalarni Fredholm metodi bilan yechish ..........................32 7-§. Fredholm munosabatlari ............................................................................... 32 8-§. Yuqori tartibli minorlar ..................................................................................39 9-§. Bir jinslimas tenglamaning umumiy yechimi ..............................................46 10-§. Umumlashgan Fridrixs operatori uchun Fdedholm metodi............................49 11-§. Integral tenglamalarni yechishga doir misollar ..............................................55 Xulosa .................................................................................................................62 Foydalanilgan adabiyotlar .......................................................................................64