Singular numbers of the monodromy operator and sufficient conditions of the asymptotic stability of periodic system of differential equations with fixed delay

To obtain sufficient conditions for the asymptotic stability of linear periodic systems with fixed delay commensurable with the period of coefficients, singular numbers of the monodromy operator are used. To find these numbers, a self-adjoint boundary value problem for ordinary differential equations is applied. We study the motion of eigenvalues of this boundary value problem under a variation of a parameter. Obtaining sufficient conditions for the asymptotic stability is reduced to finding the bifurcation value of the parameter for the boundary value problem.     

Hydrolytic degradation and thermal stability of poly(naphthylimides) based on naphthalene-1,4,5,8-tetracarboxylic dianhydride and bis(naphthalic anhydrides)

The molecular properties of a number of new poly(naphthylimides) derived from naphthalene-1,4,5,8-tetracarboxylic dianhydride and bis(naphthalic anhydrides) have been studied. On the basis of hydrodynamic studies of the polymers at various stages of their thermal degradation in 96% H₂SO₄ and thermogravimetric measurements, the hydrolytic stability and thermooxidative resistance of the polymers have been compared. A correlation between the experimental data and the chemical structure of molecular chains has been established.     

The state of water in finely disperse hydrogels based on acrylamide and acrylic acid

The sorption capacity (upon water sorption from the bulk and vapor phases) of copolymeric hydrogels based on acrylamide and acrylic acid and the state of water in the hydrogels are studied. It is established that, for hydrogels prepared in the form of fine powders, pore sizes vary from 90 to 770 Å and the pore radius of hydrogels obtained as monolithic plates ranges from 27 to 200 Å. The acrylamide-to-acrylic acid unit ratio in the hydrogels is found to affect both the amount and the state of sorbed water. It is shown that the properties of water sorbed by hydrogels are governed by carboxyl group concentration rather than by the density of macromolecular chains.     

The influence of different reclamation agents and microorganisms on the aggregative stability of the colloidal fraction of meadow chernozem soil

The influence of various reclamation agents (montmorillonite, peat, activated sludge microbocenosis) on the stability of dispersions of the colloidal fraction of meadow chernozem soil is studied. It is established that biocolloids possess the strongest coagulating action in the aforementioned series of reclamation agents. It is shown that, in the process of microorganism growth involving glucose or polypeptides as a carbon source, exopolymers are synthesized that caused the coagulation of soil dispersions. Upon the growth of microorganisms on polypeptides (alkaligeneous metabolism), precipitates are formed that are denser and less peptized by water than those grown on glucose (acidogeneous metabolism). The addition of montmorillonite and peat intensifies the aggregation processes in soil-microbe heterodispersions. The inverse relationship between the content of an organic substance in a colloidal system and the stability of aggregates of soil colloids is revealed.     

Synthetic asymmetric lipid-like organosilanes for liposomal nanohybrid cerasomes toward potential medical applications

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Physicochemical properties of KOH-H<Subscript>2</Subscript>O<Subscript>2</Subscript>-H<Subscript>2</Subscript>O solutions

Density, viscosity, and surface tension of KOH-H₂O₂-H₂O solutions used to synthesize potassium superoxide in sprayer apparatus were studied with various relative amounts of the components in the temperature range 0–30°C. Analytical dependences of the above-mentioned quantities on temperature and solvent (water) content of the system were found.     

Fruits of two seabuckthorn varieties

Fruits of two varieties of Hippophae rhamnoides L. collected in Kyrgyzstan (I) and Uzbekistan (II) were investigated. Differences in their morphological and biochemical properties were demonstrated. Titrable acids, ascorbic acid, and protein dominated in the fruits of I. Pulp oil of II contained more free fatty acids (acid number 2.9 mg KOH) and carotinoids (419.3 mg%). The principal pulp acid was 16:1. Among the rarely encountered acids of pulp oil, an insignificant quantity of 16:2 was detected (1.2–4.6%). Seed oil of the studied specimens contained >40% of the essential acids 18:2 and 18:3 (vitamin F).Translated from Khimiya Prirodnykh Soedinenii, No. 6, pp. 435–437, November–December, 2004.This revised version was published online in April 2005 with a corrected cover date.     

Physicochemical Grounds for Application of Schungite for Neutralization of 1,1-Dimethylhydrazine in Wastewater

Chromatography–mass spectrometry and MALDI mass spectrometry have been used to study the interaction of 1,1-dimethylhydrazine and products of its oxidation with the surface of mineral schungite in aqueous solutions. A comparative analysis has been performed for organic compounds contained in initial and equilibrium 1,1-dimethylhydrazine solutions brought in contact with schungite, as well as compounds desorbed from the modified surfaces of the mineral and its inorganic components. The analysis has revealed the efficiency of schungite as a low-cost and environmentally friendly sorbent capable of catalyzing the profound oxidation of 1,1-dimethylhydrazine and products of its transformation to nontoxic low-molecularmass substances. Environmentally safe methods have been proposed for the regeneration of used schungite.