It was shown that the solutions of any linear differential equations of second order (inhomogeneous or homogeneous) can be presented in the form of functional integral on Gauss measure. To calculate these integrals we formulated the method of Gauss equivalent representation. Within this method we considered a few different physical tasks of quantum and classical physics.

The observable signal for P- and T-odd EDM of charged particles is the precession of spin in electric field. Unlike the neutral atoms and neutrons the electric field applied to the charged particles leads to its motion and one needs a new technic with the use of storage rings. In Brookhaven and Jülich the idea of pure electrostatic rings was discussed. In this talk we will consider the scheme of EDM search in ordinary magnetic ring with additional radio-frequency flipper of RF-E spin induced by EDM. The precision angular velocity of spin is so small that in order to accumulate the observable signal one needs to keep the spin coherency during few hours, better for one day. We will show that in spin preseccional rotation process there is compensation of effects of phase glitching in spin precession in magnetic field of the ring and phase glitching in radio-frequency electric field of the flipper which was not discussed before. The spin decoherency cryticaly depends on the character of particle momentum changes during CP-odd spin rotation caused by EDM.

The decay widths of $\rho^{-}\to\eta\pi^{-}$ and $\tau^{-}\to\eta(\eta')\pi^{-}\nu$ decays was calculated within the standard Nambu-Jona-Lasinio model. It was shown that these decays became possible due to difference of u- and d-quarks. This leads to the suppresion of these decays with respect to the base decay modes. In the description of the decay $\rho^{-}\to\eta\pi^{-}$ the intermediate state with $a_0^{-}$-meson was taken into account, while in decay of $\tau$-lepton the $\rho^{-}$- and $a_0^{-}$-mesons in the intermediate state are present.

Theoretical evaluations are compared with the results obtained in the set of paper of other authors.

A set of evolution equations for correlators of densities of quark and gluons is considered. Approximate solutions is obtained in frames of gluon and quark dominance. A new formulation of the cross sections of Drell-Yan process is suggested. Differential cross sections for the QCD sub-processes of type $2 \to 2$ are obtained. Sub-process $g b \to t H^-$ as well considered.

The processes of $\gamma\gamma$, $\gamma p$ and $\pi p$ collisions are considered in the peripheral kinematics when produced particles move along the direction of initial particles movement. The processes of pseudoscalar neutral and charged particles production are considered. The contributions of virtual photon and vector meson exchange are evaluated. It was shown that vector meson exchange dominates. The effect of Reggeization of vector meson is taken into account. Numerical estimation is done.

Within extended NJL model we obtained the cross section of the processes $e^+e^- \to \pi\pi(\pi')$. We took into account intermediate vector mesons $\rho(770)$, $\omega(782)$ and $\rho'(1450)$. Obtained resulst are in satisfactory agreement with the known experimental data. The comparison with our previous calculations of decay withds for $\tau \to \pi\pi(\pi') \nu$ decays was done. In this calculations theoretical results for partial and for differential decay widths was in agreement with experimental data.