Function theory. Functional analysis.
Dynamic system theory.
Main publications:
A. V. Bratischev, “O kharakteristicheskom mnogochlene sostoyaniya ravnovesiya avtonomnoi sistemy, imeyuschei prityagivayuschee invariantnoe mnogoobrazie”, Differentsialnye uravneniya i protsessy upravleniya, 2017, no. 2, 11–19
A. V. Bratischev, “Operatory obobschennogo differentsirovaniya Gelfonda-Leonteva i polinomy Brenke”, Vestnik DGTU, 10:6 (2010), 813–824
A. V. Bratischev, “Obraschenie pravila Lopitalya”, Mekhanika sploshnoi sredy, eds. Vorovich I.I., Rostovskii gosudarstvennyi universitet, Rostov-na-Donu, 1985, 28–42
A. V. Bratishchev, “A type of lower estimate for entire functions of finite order, and some applications”, Math. USSR-Izv., 24:3 (1985), 415–438
A. V. Bratishchev, Yu. F. Korobeinik, “General form of linear operators which commute with the operation of differentiation”, Math. Notes, 12:2 (1972), 547–551