BIRINCHI TARTIBLI DIFFERENSIAL TENGLAMALAR UCHUN MAXSUS YECHIMLAR NAZARIYASI
Keywords:
differensial tenglama, maxsus yechim, singular yechim, p-diskriminant, C-diskriminant, Kler tenglamasi, Lagranj tenglamasi, og‘ib o'tuvchi.Abstract
Ushbu maqolada birinchi tartibli differensial tenglamalar uchun maxsus yechimlar nazariyasi tahlil qilinadi. Singular yechimlarning ta'rifi, ularni aniqlash usullari — p-diskriminant va C-diskriminant metodlari — batafsil yoritiladi. Kler va Lagranj tenglamalari misolida maxsus yechimlarning geometrik talqini va amaliy ahamiyati ko'rsatiladi. Mavjud adabiyotlardagi nazariy yondashuvlar qiyosiy tahlil qilinadi.
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