  (1) The temperature dependence of the specific heat for a marginal Fermi
liquid has been calculated. (2) We calculated the self-energy at T=0 for a two
dimensional fermionic system with hyperbolic dispersion. The existence of the
saddle points in the energy gives rise to a marginal behavior. (3) We showed
that the two-dimensional fermionic system with the energy $\epsilon
_{\mathbf{k}}=k_xk_y$ has a non-Fermi behavior. (4) The electronic self-energy
due to the electron-spin interaction is calculated for a two dimensional
system. (5) We study the influence of the amplitude fluctuations of a non-Fermi
superconductor on the energy spectrum of the two-dimensional Anderson non-Fermi
system. (6) Using the field-theoretical methods we studied the evolution from
BCS theory to Bose-Einstein condensation (BEC) for a non-Fermi system. (7)
Using the renormalization group approach proposed by Millis we calculated the
specific heat coefficient $\gamma (T)$ for the magnetic fluctuations with
susceptibility $\chi^{-1}\sim \delta ^{\alpha}+| \omega | ^{\alpha}+f(q)$ near
a Lifshitz point.
