Differensial tenglamalarni yechishda energiya integralining tadbiqi Mundarija Kirish………………………………………………………………………………3 I-Bob. Asosiy tushunchalar 1.1-§. Gamma va Beta funksiyalar………………………………………………..15 1.2-§. Gipergeometrik funksiya. Umumlashgan kasr tartibli integral operator ….17 1.3-§. Giperbolik tipdagi tenglamalar uchun yagonalik teoremasi……………….20 1.4-§.Aralash tipdagi differensial tenglamalar……………………………………25 II-Bob. Ikkita buzilish chizig’iga ega va turli tartibli aralash tipdagi tenglama uchun chegaraviy masalalar 2.1-§. TC va T masalalarning qo’yilishi ………………………………………...28 2.2-§. Yechimning yagonaligi…………………………………………………….31 2.3-§.Yechimning mavjudligi……………………………………………………..41 Xulosa……………………………………………………………………………..62 Adabiyotlar………………………………………………………………………..63