Monografiya posvyashchena probleme izucheniya kachestvennykh svoystv resheniy kraevykh zadach dlya kvazilineynykh uravneniy vtorogo poryadka v neogranichennykh oblastyakh. V chastnosti, v rabote issleduetsya povedenie na beskonechnosti resheniy zadachi Dirikhle dlya ellipticheskikh uravneniy v neogranichennykh oblastyakh i pervoy smeshannoy zadachi dlya parabolicheskikh uravneniy v tsilindricheskikh po vremennoy koordinate oblastyakh. A imenno, dlya kvazilineynykh ellipticheskikh uravneniy pri udalenii argumenta na beskonechnost' i dlya kvazilineynykh parabolicheskikh uravneniy pri bol'shikh znacheniyakh vremeni issledovana skorost' ubyvaniya resheniy rassmatrivaemykh zadach v zavisimosti ot geometrii neogranichennykh oblastey i parametrov nelineynosti. Kniga prednaznachena dlya nauchnykh rabotnikov, prepodavateley vuzov, aspirantov i studentov, spetsializiruyushchikhsya po differentsial'nym uravneniyam v chastnykh proizvodnykh ili uravneniyam matematicheskoy fiziki.