YUKLANGAN BIR O’LCHAMLI ISSIQLIK TARQALISH TENGLAMASI UCHUN BOSHLANG`ICH-CHEGARAVIY MASALA
Keywords:
Kalit so'zlar: issiqlik tarqalish tenglamasi, boshlang'ich-chegaraviy masala, Volterra integral tenglamasi, Granuolla tengsizligi, yuklanganlik.Abstract
Annotatsiya. Ushbu maqolada chegaralangan bir o'lchamli sohada
yuklanganlik bilan berilgan issiqlik tarqalish tenglamasi uchun boshlang'ich-
chegaraviy masala ko'rib chiqiladi. To'g'ri masala bu tenglama uchun Kosh tipidagi
boshlang'ich shartlar va Dirixle chegaraviy shartlar bilan berilgan boshlang’ich-
chegaraviy masaladir. O'zgaruvchilarni ajratish usuli bilan berilgan masala ikkinchi
turdagi Volterra integral tenglamasiga keltiriladi. Yechimning mavjudligi va
yagonaligini isbotlash uchun qisqaruvchi akslantirishlar prinsipiga tayaniladi.
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