KOSHI MASALASI YECHIMINING BERILGANLARGA UZLUKSIZ BOG‘LIQILIGI
Keywords:
Koshi masalasi, differensial tenglama, uzluksiz bog‘liqlik, korrektlik, Lipshits sharti, Gronuoll tengsizligi, boshlang‘ich qiymat, yechimning yagonaligi, barqarorlik, xususiy hosilali differensial tenglama.Abstract
Ushbu maqolada Koshi masalasi yechimining boshlang‘ich berilganlarga uzluksiz bog‘liqligi masalasi tadqiq etilgan. Differensial tenglamalar uchun yechimning mavjudligi, yagonaligi va korrektlik shartlari tahlil qilinib, Lipshits sharti hamda Gronuoll tengsizligi asosida yechimning boshlang‘ich qiymatlarga uzluksiz bog‘liqligi asoslab berilgan. Shuningdek, oddiy va xususiy hosilali differensial tenglamalar uchun zamonaviy tadqiqot natijalari ko‘rib chiqilgan.
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