About Solutions of Some Nonlinear Singular Model Problems Taking Into Account Functional Initial Conditions and Extreme Regime

The work is to devoted investigation of nonlinear singular models objects with functional initial conditions and determination of solutions of problems, which are connected with these models. The proposed method is similar to the method of separating variables for nonlinear parabolic problems. It is also considered its some applications in field of technology, ecology, hydromechanics, economics and soon. In these problems, the initial condition of Coushy type is replaced by the initial condition of functional initial type.On base of producing functionals are solved some problems in extreme regimes