EVKLID FAZOSIDA SKALYAR ARGUMENTLI VEKTOR FUNKSIYALARNING DIFFERENSIAL XOSSALARINI OPERATORLI TAHLIL QILISH VA ULARNING TOPOLOGIK INVARIANTLARI
Keywords:
vektor funksiya, differensial, hosila, gradient, operatorli analiz, topologik invariant, uzluksizlik, differensiallanuvchanlik, Evklid fazosi, limit, Jacobian, differensial operatorlar, funksional analiz, lokal xossa.Abstract
Ushbu maqolada Evklid fazosida aniqlangan skalyar argumentli vektor funksiyalarning differensial xossalari operatorli yondashuv asosida o‘rganiladi. Muhokama qismida olingan natijalar differensial tenglamalar, fizik modellashtirish va optimallashtirish masalalari bilan bog‘liq holda tahlil qilindi. Xulosa sifatida operatorli yondashuv differensial analizni umumlashtirish va chuqurlashtirish imkonini beruvchi samarali vosita ekanligi asoslandi.
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