In this paper, it is shown that the solutions of the Toda-type chain with self-consistent source can be found by the inverse scattering method for the discrete Sturm-Liuville operator.

In this article the parameters of pSi1-xGex solid solution was simulated by using TCAD Sentaurus program. The gap dependence on composition of solid solution was carried out. A current-voltage characteristics of the structure was simulated at different composition as well as at different carrier concentration in the film.

In this paper the method of inverse spectral problem applies to the integration of the modified Korteweg-de Vries equation with a loaded term.

In this paper the inverse spectral problem is applied to the integration of the periodic Toda-type Lattice with an integral source.

In this paper we propose a method for finding multi-soliton solutions of the matrix Korteweg-de Vries equation with a self-consistent source.

Actually, there would be problems in solving some tasks of combinatorics depending on computer memory and speed. It‘s required the separate approach of tasks solving to solve such problems. The given article is devoted to solving such problems.

In the paper the influence of the defect lateral distribution on drain current in nanometer MOSFET is considered.The simulation results show the drain current depends on lateral as well as longitudinal distribution of interface defects. Maximal change of the drain current is seen at localisation of defects at the center of interface.

In this paper the problems of a filtration of objects for metric algorithms of classification in particular, for an algorithm of the K nearest neighbors is considered. It is invited to change the class of anomalous objects which has similar regularities to improve the stability. First result and second result which was taken after the preprocessing are compared.