Vladimir Zadorozhniy

Momentnye Funktsii Resheniy Uravneniya Diffuzii: Variatsionnyy Metod Vladimir Zadorozhniy Russian edition

Osnovnaya zadacha, rassmatrivaemaya v monografii, - nakhozhdenie momentnykh funktsiy resheniy zadachi Koshi dlya uravneniya diffuzii s tremya fazovymi peremennymi, koeffitsienty kotorogo yavlyayutsya sluchaynymi protsessami. Ispol'zuetsya metod, pozvolyayushchiy svesti postavlennuyu zadachu k resheniyu determinirovannykh differentsial'nykh uravneniy s obychnymi i variatsionnymi proizvodnymi. Polucheny formuly resheniya nachal'noy zadachi dlya differentsial'nykh uravneniy s variatsionnymi i obychnymi proizvodnymi. V chastnosti, nakhoditsya reshenie obratnoy zadachi variatsionnogo ischisleniya dlya sistem obyknovennykh differentsial'nykh uravneniy vtorogo poryadka. Dlya resheniya uravneniya diffuzii so sluchaynymi koeffitsientami polucheny yavnye formuly matematicheskogo ozhidaniya, momentnykh funktsiy lyubogo poryadka i razlozhenie kharakteristicheskogo funktsionala v stepennoy ryad. Monografiya prednaznachena dlya nauchnykh rabotnikov, aspirantov, studentov starshikh kursov i spetsialistov po modelirovaniyu protsessov, podverzhennykh sluchaynym vozmushcheniyam.