Speciality:
05.13.18; 05.13.17 (Mathematical modeling, numerical methods, and the program systems; Theoretical foundation for informatics)
Keywords: Differential equations with small parameters, branching theory, stability with respect to a part of variables, parameter identification.

Subject:

differential equations in Banach spaces with small parameters, methods of branching theory and their applications in the theory of oscillations and wave equations, local reducibility and asymptotic equivalence of nonlinear ODE systems, stability with respect to a part of variables, mathematical models of physics, mechanics, chemical kinetics, biology, identification of dynamic system parameters from experimental data.

Main publications:

A. A. Kyashkin, B. V. Loginov, P. A. Shamanaev, “O vetvlenii periodicheskikh reshenii lineinykh neodnorodnykh differentsialnykh uravnenii c vyrozhdennym ili tozhdestvennym operatorom pri proizvodnoi i vozmuscheniem v vide malogo lineinogo slagaemogo”, Zhurnal Srednevolzhskogo matematicheskogo obschestva, 18:1 (2016), 45–53