SKALYAR ARGUMENTLI VEKTOR FUNKSIYALARNING SILLIQLIK XOSSALARI VA ULARNING DIFFERENSIALLANUVCHANLIK SHARTLARI
Keywords:
vektor funksiya, differensiallanuvchanlik, silliqlik, hosila, C^k sinf, C^∞, uzluksizlik, limit, differensial operator, komponentlar bo‘yicha hosila, lokal xossa, analiz.Abstract
Ushbu maqolada skalyar argumentli vektor qiymatli funksiyalarning silliqlik xossalari va differensiallanuvchanlik shartlari o‘rganiladi. Natijalarda vektor funksiyalarning va silliqlik sinflari uchun mezonlar ishlab chiqildi, differensiallanuvchanlikning zarur va yetarli shartlari aniqlashtirildi. Xulosa sifatida silliqlik xossalari funksiyaning lokal va global xatti-harakatini aniqlashda asosiy rol o‘ynashi ko‘rsatildi.
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