Apunevych S. Fluctuations of cosmic microwave background temperature and formation of large-scale structures within inflationary models of Universe

The dissertation is devoted to testing of inflationary cosmological model and to the determination of its parameters, at which predictions concord with observational data in the best way. Semianalytical approach for calculation of angular power spectrum at large scales was developed, to carry out normalization fast and precise. The localization of accumulation of contribution to the late integrated Sachs-Wolfe effect is determined in time scale. The analytical approximations were improved and expanded, to be used for making predictions for locations and amplitudes of acoustic features in the angular power spectrum depending on the parameters. The experiments data on cosmic microwave background were analysed, the presence of such acoustic details in observational spectrum is established, along with likelihood and errors limits. In the testing the values of cosmological parameters were determined: matter energy density, energy density of baryons, the slope of postinflationary spectrum of density fluctuations, the content of cosmological constant, Hubble constant.