Search and investigation of the galaxies with active nuclei and galaxies possessing megamaser and infrared radiation; Study of blue dwarf galaxies of the First and Second Byurakan spectral surveys; Investigation of systems of galaxies including close and wide groups of galaxies, multiple and double nucleus galaxies; Investigation of star formation regions, young, non-stable objects of our Galaxy; Search and study of stellar associations and their typical population — non-stable stars and flare stars, H-alpha emission stars, young stars possessing anisotropical activity and optical jets, nebulae; Investigation of radial systems dark globules of our Galaxy; Search and investigation of blue stellar objects and late-type stars of the First Byurakan survey; Physics of flare stars; Mathematical modeling of direct and inverse problems of theoretical astrophysics; Interpretation of the spectra of cosmic objects, the inner structure of celestial bodies possessing large masses; Investigation of the surface brightness fluctuations of stellar systems; Efficient methods in Radiation Transfer theory and in physical kinetics; Investigation of renewal equations and semi-Markov processes and their applications.