Theory of differential and integral equations, Mathematical physics, Transfer theory, Convolution type integral equations, Nonlinear functional analysis.
Leading researcher at the Institute of Mathematics NAS Armenia
Fields of Interests:
main field: Complex analysis (Nevanlinna value distribution theory), geometric functions theory, classes of complex functions, particularly quasiconformal mappings, Minimal surfaces, Algebraic Geometry, turbulence in analysis and applications of some recent results and trends in physics, biomathematics, economical mathematics, real differential equations, complex differential equations.
Pseudo-differential operators, Fourier Integral Operators Theory, Micro-Local Analysis, Integral equations of Volterra type, Generalized integral transformations