of National Academy of Sciences
of Tajikistan

Reports of the National Academy of Sciences
of Tajikistan

Доклады Академии наук Республики Таджикистан, том 60, №7-8, 2017 г.

Article title and abstractPages
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Olimov A.G., Rajabov N.R.
Integral representations and Cauchy type problems for one system linear ordinary differential equations of second order with a super-singular point
In the article the problem of integrating system linear ordinary differential equation of second order with a super-singular point reduces to decision of the system second type Volterra integral equations with weak singularity. General solution of the given system is expressed by means of resolvents system integral equations. Representation of the general solution are studied for clarifying the characteristics of the solution in the super-singular point and solving Cauchy type problem.

Key words: система линейных обыкновенных дифференциальных уравнений второго порядка; сверхсингулярная точка; система интегральных уравнений Вольтерра. общее решение; задача типа Коши; system linear ordinary differential equations of second order; super-singular point; system Volterra integral equations; general solution; Cauchy type problem.

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Kurbanshoev S.Z., Yakubov N.S.
The averaging method for linear differential equations with periodic coefficients
The article discusses a method of averaging for linear differential equations with periodic coefficients and their convergence and limited to the norm are proved. When using the change of variables by averaging the right side depending periodically on time, transformed into a system of differential equations with constant coefficients, which determines the asymptotic behavior of the solutions of the original system with .

Key words: метод усреднения; периодические коэффициенты; дифференциальное уравнение; равномерная сходимость; averaging method; periodic coefficients; differential equation; the uniform convergence.

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Usmanov Z.D.
The classifier of discrete random variables
On the set of discrete random variables with possible values among m natural numbers we introduce the metric on the basis of which the problem of effectiveness of the representation to the set in the form of a collection of disjoint subsets of homogeneous elements is investigated.

Key words: дискретная случайная величина; метрика; классификатор; discrete random variable; metric; classifier.

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Kokhirova G.I., Babadzhanov P.B., Kholshevnikov K.V., Khamroev U.Kh., Milanov D.V.
On a common origin of asteroids (2101) Adonis and 1995CS
The distance between orbits of related objects belonging to the known asteroid-meteoroid complex s-Capricornids was measured using the existing and newly introduced metrics. The results show satisfactory agreement between each other. Time of the most orbital similarity was found which may be considered as a moment of fragmentation of the common single body.

Key words: метрика; астероид; комета; орбита; эволюция; metric; asteroid; comet; orbit; evolution.

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Shoyoqubov Sh.Sh.
Rate of formation ion clusters in comets
In this paper by mass spectral analysis of the rate of formation of positive and negative cluster ions on the surface of the laboratory modeled comet nucleus under the influence of corpuscular particles of solar wind is discusses. The method of proportionality of emission coefficients is used in calculations.

Key words: кометы; кластерные ионы; ионно-молекулярные кластеры; пропорциональность коэффициентов эмиссии; распыление льда; сomets; ion clusters; ion-molecular clusters; proportionality of emission coefficients; spray ice.

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Salikhov T.Kh., Davlatdjonova Sh.Kh., Umar Z., Khodjakhonov I.T.
Temperature field in the photoacoustic cell with a suprfluid solution Hе-Hе
The specific features of the formation of a temperature field in a PA -cell with a superfluid solution of Hе-Hе theoretically has been studied. Specific expressions for the azimuthally temperature distribution for a three-layer model of a PA-cell with an absorbing substrate are obtained.

Key words: температурное поле; фотоакустика; сверхтекучий раствор; thermal field; photoacoustic; superfluid solution Hе-Hе.

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Odinaev S., Idibeg Kh.
The statistical theory of the conductive properties of electrolyte solutions
By the method of kinetic equations the analytical expressions for the coefficient electroconductivity and modulus electroelasticity of electrolyte solutions, when relaxing the flow are damped by the exponential law were received. These expressions contain molecular parameters, friction coefficients , , relaxation times , and ions a and b , contain of the potential interaction energy and radial distribution function .

Key words: коэффициент удельной электропроводности; модуль электроупругости; коэффициенты трения; времена релаксации; потенциальная энергия взаимодействия; радиальная функция распределения; coefficient of electroconductivity; the modulus of electroelasticity; friction coefficients; relaxation times; the potential energy of interaction; radial distribution function.

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Nazarov F.A., Kurbonov A.S., Barotov A.M., Nazarov Sh.B., Misratov Zh.A., Mirsaidov U.M.
Processing of borosilicate ore by sintering method
The results of studies of the decomposition of the initial borosilicate ore of the Ak-Arkhar deposit of Tajikistan by the sintering method are presented. The optimal conditions for the decomposition of the initial raw material during joint sintering with sodium hydroxide are determined.

Key words: исходная боросиликатная руда; переработка; спекание; извлечение; гидроксид натрия; initial borosilicate ore; processing; sintering; extraction; sodium hydroxide.

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Khalikov D.Kh., Mirzoeva R.C., Bobodjonova G.N., Gorshkova R.M., Khalikova S., Avloev Kh.Kh.
About sorption activity of pectic polysaccharides towards ions of metals
There sorption ability of pectic polysaccharides, obtained from different scores of vegetable raw products with ions of divalent metals - Са, Zn, Cu and Pb was studied. There was used, as an original water-soluble sorbent, pectic substance (PS) of peach (PS-PE), apple (PS-AP) and sunflower baskets (SB), obtained by statistical (PS-SBs) and dynamical (PS-SBd) methods В and as water swelling high-molecular weight systems was selected appropriate microgels (MG)- MG- PE, MG- AP,PS- SBs and PS-SBd. The isoterm of sorption the ions of Calcium and Zink of pectic polysaccharides have similar character and concentrated on term of same line was demonstrated. The sorption of copper and lead ions also have similar character but, significantly different from ions Calcium and Zinc. For the first time it was discovered absence the influence of nature the pectic polysaccharides towards their maximum sorptive capacity, which proves important role the concentrations free (not etherifying) GA by conducting sorptive processes in their systems Experimental dates were processed regarding the Langmuir equations, calculated limiting value capacitance and apparent constant of adsorption equilibrium.

Key words: микрогель; пектиновые вещества; ионы металлов; сорбция; изотерма сорбции; уравнение Ленгмюра; microgels; pectic substance (PS); ions of metals (IM); sorption; isotherm of sorption; Langmuir equations.

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Abdusalyamova M.N., Badalova M.A., Kabgov H.B., Makhmudov F.A.
The investigation of some physic-chemical properties of solid solutions of type YbNdMnSb
The results of some properties of YbNdMnSb have been reduced in this paper: crystal characters, melting temperatures, thermal expansion

Key words: редкоземельные элементы; неодим; термоэлектрические материалы; фазы Цинтля; rare earth elements; neodymium; phase Zintl; thermoelectric materials.

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Kurbonov Sh.A., Khodzhakhon M., Kabgov H., Muhidinov Z.K., Abilhaev V.D., Samikhov Sh.R., Rahimi F.
Minerology composition of phosphate of the Rivat and Karatag ores
Mineralogy, texture-structural features and physicochemical properties of other non-phosphate minerals are especially important for the technological study of the phosphorite substance. In this paper, the mineralogical composition of flotation products by high-tech wave dispersive X-ray fluorescent spectrometer S8 TIGER (Germany) is analyzed. The obtained results of investigations showed that the mineralogical composition of phosphorus ores of the investigated deposits of Rivat and Karatag differ both in petrographic, granulometric, and in mineralogical composition.

Key words: минералогический состав; рентгенофлуоресцентный спектрометр; флотация; фосфорсодержащая руда; mineralogical composition; X-ray fluorescence spectrometer; flotation; phosphorus; containing ore.

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Naimov N.A., Ruziev J.R., Boboev H.E., Safiev A.H., Safiev H.
Physico-chemical and technological aspects of the sulfuric acid method for processing kaolin clay Tajikistan
In this work the results of studies on establishing the composition and optimal parameters of the sulfuric acid method of processing kaolin clays Tajikistan is showed. The conducted studies showed that from the kaolin clay of Tajikistan, sintering with sulfuric acid can produce aluminum sulfate, aluminum hydroxide and alumina.

Key words: каолиновые глины; сернокислотный способ; дегидратирующий обжиг; сульфат алюминия; гидроксид алюминия; производство глинозема; kaolin clay; sulfuric acid method; dehydrating firing; aluminum sulphate; aluminum hydroxide; alumina production.

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Mirsaidov I.U., Khamidov F.A., Barotov B.B., Muminov S.V., Bahronov S.A., Barotov A.M.
Radon investigation in atmospheric air and residential buildings of Dushanbe, Republic of Tajikistan
In the article the results of experimental studies of radon content in the air in residential and administrative buildings in Dushanbe are presents. Measurements were carried out during the summer season. Recommendations to reduce the radon content in buildings are given.

Key words: радон; город Душанбе; атмосфера воздуха; концентрация; radon; Dushanbe; atmospheric air; concentration.

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Davlatshoev D.A., Minaev V.E., Khasanov F.Kh., Shahmatov A.A.
Geological setting and perspective of skarn-magntite manifestations in Eastern Kukhandara Area
The geology-geophysical arguments have suggested economy potential of skarn-magnetite manifestations in Eastern Kukhandara Area which can arise in future.

Key words: скарн; магнетит; Гиссарский хребет; прогнозные ресурсы; skarn; magnetite; Gissar Ridge; probable resources.

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Bohirova M.K., Abdullaev Kh.A., Niyazmukhamedova M.B., Khakimova R.Sh., Mirzorakhimov A.K., Saidnabiev M.M.
Fructosan contents in cotton leaves and pedicle of leaves
In this paper the results of analysis of fructosan contents in leaves and its pedicle of longstable cotton are presents. It is established that the fructosan contents in cotton leaves and cridle of leaves is regulary changed in day times and in developmental phases of plants. The maximum of fructosan contents in the leaves and its pedicle is observed in the midday (12 o'clock) in plant squaring- flowering and flowering-boll set phase.

Key words: тонковолокнистый хлопчатник; лист; черешок листа; фруктозаны; корреляция; longstable cotton; fructosan contents; leaves; pedicle of leaves; correlation.