Kirish ....................................................................................................................... 3
I bob. O‘zgaruvchan koeffitsiyentli issiqlik tarqalish integro-differensial
tenglamasi uchun qo‘yilgan to‘g`ri va teskari masalalar .................................. 10
1.1-§. Gyolder funksiyalar fazosi. Qisqartirib akslantirishlar prinsipi ............... 11
1.2-§. O‘zgaruvchan koeffitsiyentli issiqlik tarqalish integro-differensial
tenglamasi uchun qo‘yilgan to‘g‘ri masala yechimining mavjudligi va
yagonaligi. ........................................................................................................... 20
1.3-§. O‘zgaruvchan koeffitsiyentli issiqlik tarqalish integro-differensial
tenglamasi uchun qo‘yilgan teskari masala. ........................................................ 24
I bob bo‘yicha xulosa .......................................................................................... 36
II bob. Issiqlik tarqalish integro-differensial tenglamasidan ko‘p o‘lchamli
ajralgan yadroni aniqlash masalasi .................................................................... 37
2.1-§. O‘zgaruvchan koeffitsiyentli ko‘p o‘lchamli yadroli issiqlik tarqalish
integro-differensial tenglamasi uchun qo‘yilgan to‘g‘ri masala yechimining
mavjudligi va yagonaligi. .................................................................................... 37
2.2-§. O‘zgaruvchan koeffitsiyentli issiqlik tarqalish integro-differensial
tenglamasidan ko‘p o‘lchamli yadroni aniqlash masalasi. .................................. 41
2.3 § O‘zgaruvchan koeffitsiyentli ko‘p o‘lchamli yadroli issiqlik tarqalish
integro-differensial tenglamasi uchun teskari masala. ........................................ 54
II bob bo‘yicha xulosa ......................................................................................... 66
III bob. Parabolik tipdagi integro-differensial tenglama uchun teskari
masalalar ............................................................................................................... 68
3.1-§. Masalaning qo‘yilishi. .............................................................................. 68
3.2-§. Asosiy natija. Mavjudlik va yagonalik haqidagi teorema. ........................ 72
3.3-§. O‘zgaruvchan koeffitsiyentli parabolik tipdagi integro-differensial
tenglama yadrosining yagonaligi to‘g‘risida. ...................................................... 80
III bob bo‘yicha xulosa ....................................................................................... 89
Xulosa .................................................................................................................... 90
Foydalanilgan adabiyotlar ro‘yxati .................................................................... 91
