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S tochki zreniya klassicheskoy teorii differentsial'nykh uravneniy sistemy differentsial'nykh uravneniy, soderzhashchie proizvedenie obobshchennykh funktsiy yavlyayutsya nekorrektnymi, v svyazi s etim voznikaet neobkhodimost' korrektnogo opredeleniya ukazannogo tipa sistem, poskol'ku poluchaemoe reshenie sushchestvenno zavisit ot ispol'zuemogo sposoba opredeleniya proizvedeniya. V nastoyashchee vremya odno iz napravleniy issledovaniya differentsial'nykh uravneniy s obobshchennymi koeffitsientami predpolagaet ikh izuchenie v ramkakh teorii algebr novykh obobshchennykh funktsiy ili…mehr

Produktbeschreibung
S tochki zreniya klassicheskoy teorii differentsial'nykh uravneniy sistemy differentsial'nykh uravneniy, soderzhashchie proizvedenie obobshchennykh funktsiy yavlyayutsya nekorrektnymi, v svyazi s etim voznikaet neobkhodimost' korrektnogo opredeleniya ukazannogo tipa sistem, poskol'ku poluchaemoe reshenie sushchestvenno zavisit ot ispol'zuemogo sposoba opredeleniya proizvedeniya. V nastoyashchee vremya odno iz napravleniy issledovaniya differentsial'nykh uravneniy s obobshchennymi koeffitsientami predpolagaet ikh izuchenie v ramkakh teorii algebr novykh obobshchennykh funktsiy ili mnemofunktsiy. Dannaya kniga posvyashchena issledovaniyu zadachi Koshi dlya sistem differentsial'nykh uravneniy s obobshchennymi koeffitsientami i sistem differentsial'nykh vklyucheniy s obobshchennoy pravoy chast'yu v pryamom proizvedenii algebr mnemofunktsiy. V knige provoditsya klassifikatsiya assotsiirovannykh resheniy ukazannykh sistem v pryamom proizvedenii algebr mnemofunktsiy v sluchayakh kogda pravaya chast' soderzhit proizvedenie lipshitsevykh funktsiy i obobshchennykh proizvodnykh funktsiy ogranichennoy variatsii, razryvnykh funktsiy i obobshchennykh proizvodnykh nepreryvnykh funktsiy ogranichennoy variatsii, razryvnykh funktsiy i obobshchennykh proizvodnykh kusochno-postoyannykh funktsiy.
Autorenporträt
Shlykov Evgeniy: kandidat fiziko-matematicheskikh nauk. Lazakovich Nikolay: doktor fiziko-matematicheskikh nauk, professor kafedry funktsional'nogo analiza Belorusskogo gosudarstvennogo universiteta. Spetsialist v oblasti teorii veroyatnostey i differentsial'nykh uravneniy, avtor svyshe 100 nauchnykh rabot, 6 uchebnikov i uchebnykh posobiy.