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Ushbu monografiyada ikki nomälumli n-tartibli nochiziqli algebraik tenglamalar sistemasining musbat yechimlarini mavjudligi, yagonalik shartlari topilgan va musbat yechimlarini soni ko¿pi bilan n+1ta ekanligi isbotlangan. Shuningdek uch nomälumli ikkichi tartibli nochiziqli algebraik tenglamalar sistemasining musbat yechimlarini aniqlash uchun bir nomälumli ko¿phadlar aniqlangan va bu ko¿phadlar musbat ildizlari yordamida ushbu nochiziqli algebraik tenglamalar sistemasining musbat yechimlarini aniqlash formulalari topilgan. k-tartibli Keli daraxtida aniqlangan model uchun translatsion-invatrant Gibbs o¿lchovlarining yagonaligi isbotlangan.