Gennadiy Shishkin

Differentsial'nye Uravneniya S Funktsional'nymi Zapazdyvaniyami: Lineynye Nachal'nye Zadachi Gennadiy Shishkin Russian edition

V monografii izlozheny issledovaniya avtora po preobrazovaniyu nachal'nykh zadach dlya lineynykh differentsial'nykh uravneniy s funktsional'nymi zapazdyvaniyami v razreshayushchie integral'nye uravneniya s obyknovennym argumentom. S pomoshch'yu odnoy modifikatsii funktsii gibkoy struktury opredeleny klassy takikh uravneniy, rassmotreny vozmozhnosti resheniya v zamknutom vide, a takzhe variant priblizhennogo resheniya i polucheny formuly dlya vychisleniya pogreshnostey etikh resheniy. Poluchennye analiticheskie vyrazheniya modeli nachal'noy zadachi dayut vozmozhnost' optimizirovat' nakhozhdenie eye tochnogo ili priblizhyennogo resheniy za schyet optimal'nogo vybora parametrov funktsii gibkoy struktury. Privedeny primery resheniya nachal'nykh zadach. Monografiya budet polezna dlya spetsialistov, reshayushchikh zadachi s otklonyayushchimsya argumentom, a takzhe aspirantov, magistrantov i studentov, spetsializiruyushchikhsya v oblasti funktsional'nykh uravneniy.