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Operatori Laplas

Operatori Laplas, lapla­sian, d e.l ta-o pe r a tor, D- operator, operatori differen­sialii khattiero guyand, ki funksiyai f(kh|, kh2, …, khya)-i az p tagyiryobanda (Kh|, kh2, …, khp) vobastaro ba funk­siyai

Af =

muvofiq meguzorad.

Dar holati khususi Operatori Laplasro baroi funksiyam dutagyiryobandai f(kh, u) ba shakli zerin menavisand:

d\ a*<r

Df “ dkh* + du*

baron funksiyai yaktagyiryobanda boshad. Operatori Laplas chunin ast:

d, =

Operatori Laplas dar chunin masalahoi fizi­kai matematiki duchor meshavad, ki dar on khosiyathoi izotropii muhithoi yakjinsa (pahnshavii rushnoi, harakati moei idealii taziqnopazir va gayra)-ro meomuzad.

Muodilai Af = 0-ro odatan muodilai Laplas menomand, ki nomi Operatori Laplas niz az hamin jo barmeoyad.

Инчунин кобед

SATHI VINTI

SATHI VINTI, sathest, ki khati £ hangomi dar girdi mehvari nojunboni OO’ bo surati kunjii …