PARABOLIK TURDAGI DIFFERENSIAL TENGLAMALAR UCHUN SOCHILISH MASALASI
Keywords:
parabolik tenglama, sochilish masalasi, Volterra integral tenglamasi, yagona yechim, integral shart.Abstract
Ushbu maqolada parabolik turdagi differensial tenglamalar uchun sochilish masalasi ko'rib chiqiladi. Masalaning qo'yilishi, yechimning mavjudligi va yagonaligi o'rganiladi. Ko'rib chiqilayotgan masalada noma'lum koeffitsiyentni tiklash integral shart yordamida amalga oshiriladi va Volterra integral tenglamasiga olib kelinadi. Yadrosiganiyatining tahlili asosida tenglamaning yagona yechimi mavjudligi isbotlanadi.
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