INTEGRAL TENGLAMALARNI FREDHOLM METODI BILAN YECHISH. FREDHOLM MUNOSABATLARI
Keywords:
xAbstract
Differensial operator qatnashgan tenglamani yechish esa integral operatorli tenglamani yechish masalasiga keladi. Shunday ekan, biz ushbu magistrlik dissertatsiyasida integral operatorlar qatnashgan tenglamalarni yechish usullariga to‘xtalamiz. Aniqrog‘i uch tipdagi integral operatorlarning xos qiymatlarini va rezolventasini topishning uch xil usulini namoyish qilamiz. Shundan Fredholm va Fridrixs tipidagi operatorlarga ko‘proq to‘xtalamiz. Integral operatorlar va ular bilan bog‘liq integral tenglamalar nazariyasi Nuemann, Volterra, Liuvill, Fredholm, Fridrixs, Hilbert va Shmidtlar tomonidan rivojlantirilgan
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