Rasshcheplyaemye Dau V Chastnykh Proizvodnykh

Rassmatrivayutsya sistemy differentsial'nykh uravneniy v chastnykh proizvodnykh. Predpolagaetsya, chto matritsy pered proizvodnymi iskomoy vektor-funktsii vyrozhdennye vo vsey oblasti opredeleniya. V rabote dano opredelenie indeksa dlya differentsial'no-algebraicheskikh uravneniy (DAU) v chastnykh proizvodnykh, dokazany teoremy sushchestvovaniya i edinstvennosti dlya lineynykh DAU s postoyannymi koeffitsientami, dlya lineynykh DAU s peremennymi koeffitsientami i kvazilineynykh DAU. V rabote takzhe vvoditsya ponyatie rasshcheplyaemykh sistem i issleduetsya struktura ikh resheniy.