Manba ta’siri va o‘zgaruvchan zichlikka ega divergent diffuziya jarayonini ifodalovchi parabolik tenglama uchun Koshi masalasining yechimlari sifat xossalari: Manba ta’siri va o‘zgaruvchan zichlikka ega divergent diffuziya jarayonini ifodalovchi parabolik tenglama uchun Koshi masalasining yechimlari sifat xossalari

M.M Karimov

Authors

Karimov M.M

Abstract

tenglama o‗zgaruvchan zichlikka ega, manba ta‘siriga bor, divergent diffuziya jarayonini ifodalovchi
parabolik tenglama. Bu yerda sonli parametrlar, izlanayotgan
nomanifiy yechim, chegaralangan, uzluksiz, nomanfiy funksiya. (1) tenglama buziluvchi tenglama
bo‗lib, yoki bo‗lganda klassik ma‘noda yechimga ega bo‗lmaydi. Bu holda (1), (2)
masalaning yechimini sinfda umumlashgan yechim sifatida qaraladi va bu
yechim (1) tenglamani integral ayniyat ma‘nosida qanoatlantiradi. (1) tenglama ko‗plab tabiatda
uchraydigan tabiiy jarayonlarni ifodalaydi. (1), (2) masalani parametrlarining xususiy hollarida ko‗plab
mualliflar tomonidan o‗rganilgan [1-15]. Ular masalaning global yechimi mavjudligi, front uchun baho va
sonli yechimlarini olishgan hamda tahlil qilishgan.

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Manba ta’siri va o‘zgaruvchan zichlikka ega divergent diffuziya jarayonini ifodalovchi parabolik tenglama uchun Koshi masalasining yechimlari sifat xossalari