New stabilization tests are presented with new perturbation estimates that guarantee stabilization properties of control which stabilize unperturbed neutral type systems.

This article presents a canonical form of second-order partial differential operators with complex coefficients in the case of two variables.

Systems of differential equations with generalized coefficients are investigated in the algebra of mnemofunctions. A convergence rate to associated solutions of differential equations is estimated.

The article deals with the analysis of “weakened smoothness properties” for Uryson integral operators in the Lebesgue spaces L_p(1≤ p < ∞). It is shown that the formal derivative of the Uryson integral operator generated by a smooth (and even analytical) kernel can be considered as a generalized derivative; namely, for this formal derivative, a variant of the classical Newton–Leibnitz formula turns to be held. The smoothness conditions for such formal derivatives are presented. All theses data allow obtaining some results on the convergence of the Newton–Kantorovich method for Uryson integral equations.

A comparative analysis of photoluminescence quenching of CdSe colloidal quantum dots, nanorods, and nanoplatelets under external electric field has been carry out. Experimentally it has been demonstrated that for the quantum dots the PL quenching is more efficient than in the same nanorods and nanoplatelets. The functional dependence of PL intensity quenching vs. magnitude of electric field has been established and is in good accordance with the probability of charge tunneling under a triangular potential barrier.

The original construction is developed of a sensor for ultraviolet (UV) radiation on the basis of mono-crystalline nanostructures of zinc oxide on lithium niobate substrates using a SAW resonator with an apodized pin transformer and a reverse multistrip coupler. As a layer sensitive to UV radiation the hydrothermally grown structures based on ZnO and ZnO: Al nanorods have been proposed. It is established that the both types possess high selectivity in the UV spectral region. It is shown that the frequency shift for a sensor modified with ZNO nanorods amounts to approximately 140 kHz, and for a sensor modified with ZNO nanorods with alloyed aluminum – approximately 110 kHz at an intensity of UV radiation of 46 mkW/ cm². The manufactured UV radiation sensors based on SAW have demonstrated good technological reproducibility, high mechanical stability, and full recovery of frequency parameters of the resonator. The value is calculated, which characterizes the square of the coefficient of electromechanical connection of lithium niobate 128 of YX-cut modified by the structure of ZnO nanorods in the process of ultraviolet radiation treatment.

An experimental microfluidic model is proposed for studying magnetophoretic separation of submagnetic microparticles from liquid that ensures simple deterministic experimental conditions, the possibility of measuring the relevant physical properties of microparticles, their spatio-temporal distribution in diluted samples, and the process visualization in concentrated samples. Magnetic separation of red blood cells from deoxygenated diluted blood is studied. A phenomenon is discovered of the magnetophoretic granular Rayleigh–Taylor type instability that destroys the single-particle separation mode at cell volume concentration of about 0.002. The cell concentration growth is accompanied by enhancing the suspension vortex motion, but however this does not influence the time and the purity of the magnetic separation of red blood cells. From our observations, we have come to the conclusion that the hydrodynamic magnetophoretic instability should be related with mesoscopic swirls caused by the cell concentration dispersion. The concept of the magneto-gravitational analogy is formulated allowing one to consider the collective magnetophoresis of submagnetic microparticles as sedimentation in predetermined force fields. Our experimental model and the results obtained are of interest for the emerging technology of microfluidic analytical systems and for mechanics of suspensions as a whole.

The system of nonrelativistic Pauli equations for a spin 1 particle is solved in the case of the Riemann space of constant positive curvature. The system of three interrelated radial equations is divided into two subsystems with the use of a space reflection operator: one and two equations, respectively. The first is solved in hypergeometric functions straightforwardly. The second subsystem gives two 4-order ordinary differential equations; they are solved with the use of the factorization method: energy spectra and wave functions are found.

In order to identify potential inhibitors and modulators of thromboxane synthase, its molecular cloning, heterologous expression, isolation, and purification have been carried out. The recombinant protein is isolated in the homogenous state and possesses the functional activity. Peptide with an amino acids sequence SGVYKVLYDWQHGGF is identified using the random dodecapeptides phage library. It is revealed that this peptide has a great similarity to thrombopoietin peptidomimetic. This allows one to suppose the role of this hormone in the thromboxane synthase regulation.

A sharp decrease of shear deformation at small values of a velocity gradient for the concentrated mixed dispersions of polymers and mineral powders is found. This is explained by the discontinuity of the formed structural frame.

It is shown that the redox-activity of dispersed molybdenum trioxide can be controlled by deposition of silica onto the surface of oxide particles. The redox-activity of the core-shell type particles obtained governs the mechanism of incorporation of second-phase particles into the metal matrix. This, in turn, affects the surface morphology as well as tribological and corrosion resistance properties of the metal-matrix composites obtained.

Functionally substituted isoxazoles and isothiazoles containing azomethine, amino, carboxyl and ester fragments were synthesized. The palladium(II) complexes of carboxyl containing derivatives were obtained. Their high catalytic activity in the Suzuki reaction in aqueous and aqueous-alcoholic medium was found.

The method of obtaining hybrid organic biocidal structures through the interaction of the guanidine base with alumophosphates and copper hydroxy carbonate has been described. It is established that the reaction products consist of tripolyphosphates and pyrophosphates of aluminum forming ionic bonds with polyhexamethylene guanidine ions and copper (II). It is shown that when applied to the surface of a ceramic filter element at a temperature of 170 °C, a biocidal composite is fixed on them, on average, amounting to 50.0 wt. % of a product that provides the protection of filters from biofouling.

In the territory of Belarus the fauna of parasitic worms of the fishes of the family Gobiidae is represented by 14 species today, including 4 species (D. gobiorum, D. chromatophorum, P. skrjabini, C. aduncum) that are new for Belarus. Representatives of the fishes of the family Gobiidae, being invasive species for the territory of Belarus, are involved in maintaining populations of some species of helminths (D. spathaceum, C. skrjabini, C. pileatus, A. lucii and others) of common native fish species. It should be noted that the helminth fauna of the fishes of the family Gobiidae thus far remains poorly explored in the
territory of Belarus.

Red narrow-band lighting activates superoxide dismutase and phenolic peroxidases in the leaves of cucumber plants. In contrast, blue narrow-band lighting inhibits the activity of these enzymes. Under the combined action of red and blue light the negative effect of blue light on the activity of superoxide dismutase and phenolic peroxidases is partially eliminated while the use of red, blue, light-blue, and yellow light at the same time normalizes its functioning almost completely. It is found that blue and red narrow-band lighting increases the stress protein HSP70 content to almost the same extent and decreases (especially blue light) the expression level of antimicrobial protein PR-1. The results obtained should be considered during development and practical usage of LED illuminators for the plant growing.

The perspectives of using domestic raw materials for creation of import-substituting biologically active nanocomposite dressings have been revealed. It has been found that the antimicrobial activity of dressings depends on the metal used for processing a material, size of its particles, and a way of dressing application, as well as on the chemical composition and the material-carrier structure. The expressed antimicrobial activity is proved as regards to plankton and biofilms forms of germs of wound infection of nonwoven fabric made of short flax fiber and processed by silver nanoparticles.

The results of experimental and analytical study of a two-stage light-gas magnetic plasma launcher are presented. An optical method for measuring the speed of small bodies (2–10 mm) was developed and was used to test the magnetic plasma launcher to accelerate particulates. The experimental data are in good agreement with the mathematical model of a two-stage light-gas gun in the approximation of constant acceleration pressure for a projectile.

The features of culture in the context of its importance in overcoming corruption are marked. On the basis of the results of sociological research four major trends of cultural values in the anti-corruption campaign are highlighted.

Internal contradictions of the modern concepts of state and civil society and their sociological, political, and ideological subtexts are revealed. Shortcomings and inadequacies of these definitions are considered in view of identifying ways to improve their social significance, as well as a rethinking of theoretical heritage and views of political sociology researchers on state and civil society. The need to change the semantic content, the angle of view and criteria used for the analysis of state and civil society in modern conditions, is justified.

It was established that the meat of young of Belarusian black-motley breed has the highest content of threonine, leucine, and arginine and all other essential amino acids has no significant drawbacks. For the tryptophan, isoleucine, methionine, valine, phenylalanine and histidine content, the Yorkshire breed animals have an advantage, but they are significantly limited (SCOR – 71.7 %) for the leucine content, indicating the imbalance of amino acid composition. Landrace animals have a small amount of methionine (SCOR – 94.4 %), the Belarusian large white – threonine (SCOR – 94.5 %). Belarusian meat breed and Duroc have a balanced amino acid composition. The protein quality indicator is set in the range 7.5–9.6.