Nonlinear functional analysis, fractional dynamics, mathematical control theory
Main publications:
Kamenskii M., Obukhovskii V., Petrosyan G., Yao J.-C., “On semilinear fractional order differential inclusions in Banach spaces”, Fixed Point Theory, 2018, № 18(1), 269-292
Kamenskii M.I., Petrosyan G.G., Wen C.F., “An Existence Result for a Periodic Boundary Value Problem of Fractional Semilinear Differential Equations in a Banach Space”, Journal of Nonlinear and Variational Analysis, 2021, № 5(1), 155-177
Kamenskii M.I., Petrosyan G.G., “On a controllability problem for a feedback control system governed by a semilinear differential equation and a sweeping process”, Communications in Nonlinear Science and Numerical Simulation, 2024, № 132, 107889
Petrosyan G. G., “O sistemakh upravleniya, opisyvaemykh differentsialnymi vklyucheniyami drobnogo poryadka s obratnoi svyazyu”, Differentsialnye uravneniya, 2024, № 60(11), 1499-1518
Petrosyan G. G., “O topologicheskoi strukture mnozhestva reshenii zadachi Koshi dlya differentsialnykh vklyuchenii drobnogo poryadka s polunepreryvnoi sverkhu pravoi chastyu”, Doklady Rossiiskoi akademii nauk. Matematika, informatika, protsessy upravleniya, 2025, № 522(2), 33-39