In the article is given representation of the resolvent  for generalized differential operator  with generating function in the space of holomorphic functions.

The V-notch (standard ASTM D5379-93) shear test was investigated for determining the in-plane shear modulus. With purpose of lateral response exception the new scheme of test with specimen symmetrical loading is offered. For standard and modified schemes the comparative finite element analysis of state in a specimen's working area is executed. This analysis allow to determine the shape and sizes of a pure shear zone at different orientations of reinforcing fibers and geometrical tolerances, and to estimate error in determination of a shear modulus stipulated by averaging of shear stresses in specimen's working section. The results have shown full coincidence of stress-strained states at standard and modified schemes of tests. Our numerical evaluation shows that even for specimens with ideal shape using of mean shearing stress (relation of an applied force to a sectional area between notches) always increase error of shear module determination more than 15 % and for obtaining more precise results it is necessary to padding definition of shear stresses in center of a working area with FEM analysis. For using in actual experiment, when there are geometrical errors of the shape and fastening of specimens, but the remaining modules are determined irrespective of considered tests, the effective iterative scheme on the FEM based numerical experiment for refinement and for definition of a shear modulus values confidence interval is offered.

Structure of transition zone and mechanism of interaction between aluminium and nickel under brazing conditions are investigated.

Kinetics of aluminium spreading on nikel for brazing condithions is studied. Wetting and flowing (spreading) of aluminium on nickel are investigated. Aluminium is wetted nickel well and flowed limitedly. Flowing of aluminium on nickel is activated process. This process includes some stages. Energy of activating and work of adhesion are calculated.

The   article  describes  the criteria and  algorithms  of  the  automated  adjustment  of  the  equipment  of  resource  tests  of  quickwearing  details  of  the  industrial  equipment.

In the present paper the problem of non-observable (hidden) random autoregression process control based on the criteria of minimal dispersion of dynamical ratio value between an observable autoregression processes with hidden random process-dependent behavior is researched.

A sequence of controlled parameters is calculated for the specific case of problem. An approach reducing the calculation complexity of control parameter is found.

The cost of second-hand machines and equipment may be described by mathematical models of exhibitor function of probability of non-failure operating, which are received with use of the current information of the second-hand machines market.

In the article the author analyzes the main point of the information revolution, the tendency of their development and the new information epoch in the evolution of the society.

In the article the Internet is considered as a social phenomenon, its role in the social and political work being analysed as well. The author pays a particular attention to, and tries to determine the role of the Internet in the political life of Russi.

In work on the basis of the analysis of the special literature and sociological researches the major factors influencing process of perception of advertising are revealed. The degree of influence of advertising on consumers is defined. It is proved, that the social - psychological approach to advertising activity enables practical workers to organize more professionally process of advertising, to raise its qualitative potential and by that to expand borders of its efficiency.