R-Differentsiruemye Integraly Sistem V Polnykh Differentsialakh

Rabota posvyashchena voprosam avtonomnosti i tsilindrichnosti obobshchyennykh analiticheskikh integralov i poslednikh mnozhiteley sistem uravneniy v polnykh differentsialakh, postroeniyu integral'nykh bazisov lineynykh differentsial'nykh sistem. V rabote polucheny sleduyushchie novye nauchnye rezul'taty: neobkhodimye usloviya i kriterii avtonomnosti i tsilindrichnosti obobshchyennykh analiticheskikh integralov i poslednikh mnozhiteley sistem uravneniy v polnykh differentsialakh; usloviya funktsional'noy nezavisimosti obobshchyennykh analiticheskikh integralov i poslednikh mnozhiteley sistem uravneniy v polnykh differentsialakh; spektral'nyy metod postroeniya bazisa pervykh integralov lineynykh differentsial'nykh sistem. Kniga rasschitana na nauchnykh rabotnikov i aspirantov, zanimayushchikhsya obshchey teoriey differentsial'nykh uravneniy i ee prilozheniyami. Takzhe mozhet byt' ispol'zovana pri chtenii spetsial'nykh kursov po differentsial'nym uravneniyam.