In this study, one-parametric symmetry groups were found for 50 canonical equations with Painleve property, and, in special cases, general solutions were obtained. The result can be used as reference for specialists in the theory of nonlinear differential equations.
In generalization of the Solow model, when the change in resources in the production function described derivatives of fractional order in the sense of the Gerasimov – Caputo. As a result, we come to an important economic value — capital-labor ratio, which is characterized in stpennymi functions of Mittag-Leffler.
An algorithm for solving the potential problem, based on the boundary element method, is proposed. Some example of the Dirichlet problem for the circle and the cube are consider. The numerical-analytical solution of the boundary element method were compared with the analytical solution and the numerical solution of the boundary element method.
The method for identification of geoacoustic emission daily variation was developed. According to this method, signal denoising, based on wavelet-transform, automated analysis of daily variation and its intensity are carried out.
In a model of radioactive decay of radon in the sample (222Rn). The model assumes that the probability of the decay of radon and its half-life depends on the fractal properties of the geological environment. The dependencies of the decay parameters of the fractal dimension of the medium.
The technique and algorithms for identifying structural components of non-sinusoidal voltage and current signals in the ship power system. The skeleton diagram and useful model of active compensator conducted emissions on the basis of wavelet transform.
A variant of the production of nanopowders of silica from natural hydrothermal solutions. Derived silica sols with the contents of SiO2 to 600 g/l³(43,0 wt. %) And the radius of the particles 29-135 nm.