MAYDONI SAMTHO

MAYDONI SAMTHO, majmui nuqtahoi hamvorii khOu, ki dar har yaki on samti muayyane doda shudaast va in samt odatan bo yorii khatcha yo tirjai az hamin nuqta guzaranda ishorat karda meshavad. Agar muodilai differeisialii u’ = j(x, u) doda shuda boshad, dar har yak nuqtai (*0, I/o)-i yagon sohai hamvorii khOu qimati koeffisienti kunjii rasanda ba khati kaji integralii az in nuqta guzaranda k — f (xQ) u0) malum ast; samti rasandaro bo tircha ishora kardan mumkin ast.

Hamin tariq, muodilai differensialii , dodashuda Maydoni soharo muayyan mekunad; baraks Maydoni sohae, ki dar yagon sohai hamvorii khOu doda shudaast, muodilai differensialii namudi u’ =(x, u)-ro muayyan mekunad. Khati kaji moilii yakkhelai Maydoni soha [/(kh, u) = S — adadi doimi] izoklina (nig. Izokhatho) nomida meshavad. Izoklinahoro ba qadri kofi zich guzaronda, oilai khathoi kaji integraliro chun majmui khathoi kaje, ki dar har yak nuqtaashon samti muayyani maydonro dorand (metodi izoklikhatho ) sokhtan mumkin ast. Dar rasm Maydoni soha baroi muodilai u’ = kh2 + u2 tasvir yoftaast; khathoi borik (davraho) izoklinaho va khathoi siyoh khathoi kaji integrali meboshand.

M. I Ismatov.