Vol 19, No 3 (2013)

In the paper the mathematical model of HIV evolution is considered. This model is a singularly perturbed partial integro-differential equations system. Based on the Tikhonov—Vasilieva method of boundary function the first approximation of the system solutions is realized.

The properties of 2-vector-valued functions analytic in Douglis are studied. Three auxiliary theorems, on the basis of which the general algorithm of constructing examples of not-uniqueness homogeneous problem of Schwartz in the form of quadratic forms is reduced to are proved.

In the paper equivalent conditions for the estimation of growth of varieties of Leibniz — Poisson algebras with nilpotent commutant are received.

The dynamics of the rigid body connected with the space tug by the elastic rope in a gravitationless space is considered. The equations of motion are derived from a Lagrange formalism. The influence of initial conditions on the rigid body behaviour is studied. The posibility of existence of critical behaviour of movement which can cause the entanglement of rope is shown.

The results of experimental studies of porous silicon nanocomposites with biological materials: powder mineral phase of bone (hydroxyapatite) and biochemical solution identical to the natural tear fluid are presented in the work. Layers of porous silicon have been obtained in the process of electrochemical etching silicon wafers. There have been studies of IR reflection spectra of samples of nanocomposites in the range 4000-550 cm^-1 produced.

Accuracy of conversion of radiation by degenerate four-wave-converter on the Kerr nonlinearity under quasiperpendicular interaction geometry was analyzed with the use of point spread function method. The increasing of accuracy of radiation conversion by such converter compared to the same converter with quasicollinear geometry interaction. Correlation between the half-width module of point spread function and divergence of the pump wave, position of the focusing plane of signal wave, shear wave propagation direction with respect to the pump face of the nonlinear layer were obtained.

Results of study of the processes of change of electrophysical characteristics are presented at various operating modes of MOS-structures and the analysis of the most probable mechanisms of degradation of structures was spent. The gate dielectric was made from rare-earth oxides (high-k dielectrics). The estimation of influence of electric field and temperature on change of a charge of investigated structures was spent, the value of energetically density of states on the interface dielectric — semiconductor was defined.

Approaches to identification of materials, based on component-wise analysis that is applicable only to rather simple materials, when probably complete division and further identification of individual components of a mix are shined. The system of identification of oil on the basis of determination of set of physical and chemical indicators of quality of oil according to GOST 51851-2002 is offered.

The methods of synthesis of imidazolides of 1-adamantanacetic acid were designed. The relation of hydrolytic stability and structure was studied in theory. The way of synthesis process and its possible realizations are discussed in this work. A range of physical and chemical and spectral properties was studied. The physical and chemical relations of sorption, synthesized by imidazole adamantane derivatives using the high performance liquid chromatography, were described.

The species composition and seasonal dynamics of quantity of Crustacean populations in small urban pond is studied. The list of 15 Crustacean species is presented. Daphnia longispina, Ceriodaphnia reticulata and Cyclops copepodits dominate in the first half of summer to July, Chydorus sphaericus dominate in August and September.

During the information loading in children, the changes of coefficient of functional asymmetry, reflecting strengthening role of left hemisphere in realization of mental activity in the age of 7 to 8 years are revealed. At the same time, shifts of diagnostic parameters of variability of cardiac rhythm depending on age, sex and direction of changes in coefficient of asymmetry are found. Most pronounced changes were found in indexes of activity of sympathetic and parasympathetic nervous system, thus more noticeable change by sympathetic nervous system at loading was observed in girls of the first class, and parasympathetic — in boys of the second class. Dependence of changes of coefficient of functional asymmetry at loading of reference values is established in sympathetic nervous system and Bayevsky index at right-handed persons of 8 years.

In chronic experiments on adult female rats we found that the rostral part of amygdala is involved in the organization of motor, research activity of animals, as well as in learning.

Changes of physiological and biochemical parameters of schoolchildren working behind a computer are investigated. The comparative analysis of changes of these parameters from heterosexual and different schoolchildren age was given. The results testifying to functional shifts of adaptable systems of an organism at sixth- and eight- graders at work behind a liquid crystal monitors of a computer are received.