Доклады Академии наук Республики Таджикистан, том 61, №3, 2018 г. 
File  Article title and abstract  Pages 


Download  Jurakhonov O.A.  209215 
Least upper bounds of approach some classes of functions of two variables the triangular sums fourier in space 
In work the exact least upper bounds of approximation of functions of two variables the triangular partial sums of a double series Fourier by general orthogonal polynomials on a class of functions in space are calculated. 

Key words: наилучшие приближения; модуль непрерывности; ряд Фурье; неравенство; ортогональные многочлены; best approximation; modulus of continuity; sums Fourier; orthogonal polynomials; inequalities.  

Download  Mustafokulov R.  216223 
Equation model for one lineare homogeneous equation of Euler’s type of th order 
In this work the generalized form of lineare equation of Euler’s type of n  th order is considered. For equation of this class the conditions reducibility to equation with constants coefficients is reduce. The model equations is determined. The method of solve of model equations is indicate. 

Key words: уравнение типа Эйлера; модельное уравнение; формула ФаадиБруно; характеристическое уравнение; характеристические числа; equation of Euler’s type; model equation; formula of FaaduBruno; characteristic equation; characteristic number.  

Download  Iskhokov S.A., Rakhmonov B.A.  224230 
On solvability and smoothness of a solution of variational Dirichlet problem for degenerate elliptic operators in the whole space 
We study the variational Dirichlet problem for a class of higher order degenerate elliptic operators in the whole ndimensional Euclidian space. A theorem on unique solvability of the problem is proved and under some additional condition on smoothness of coefficients and the righthand side of the equation, differential properties of the solution are studied. Formulation of the problem under consideration is connected with integrodifferential sesquilinear form that may not satisfy the coercitivity condition. 

Key words: вариационная задача Дирихле; эллиптический оператор; степенное вырождение; некоэрцитивная форма; гладкость решения; variational Dirichlet problem; elliptic operator; power degeneration; noncoercive form; smoothness of solution.  

Download  Rajabova L.N., Shukurova G.N.  231240 
On some cases of symmetric twodimensional integral equations of type Volterra with the a singularity and logarithmic singularity in the kernel 
In this paper, we investigate some cases of a symmetric twodimensional integral equation of Volterra type with a singularity and a logarithmic singularity in the kernel. In the case when the parameters of the equation are related to each other, depending on the sign of the equation parameters, explicit solutions of the integral equation containing arbitrary functions are obtained. 

Key words: симметричное интегральное уравнение; логарифмическая особенность; произвольные функции; асимптотическое поведение; непрерывные функции; обращение в нуль; symmetric integral equation; logarithmic singularity; arbitrary functions; asymptotic behavior; continuous functions; vanishing.  

Download  Kabilov M.M., Khalimov I.I.  241249 
The superadiabatic mode of combustion hedrogenair mixture in an inert porous medium 
Behavior of an analytical solution of the mathematical model of filtration gas combustion, that allowes to describe the superadiabatic mode of combustion hydrogenair mixture in an inert porous medium, is considered. Conditions for existence of superadiabatic mode of combustion of the mixture are studied. Dependences of difference of equilibrium and adiabatic temperatures and the speed of a stationary combustion wave on the speed of mixture and the coefficient of excess fuel are investigated in the paper. Patterns of change in the temperature distribution of the porous medium, a mixture of gases and the relative concentration of the missing component are also considered. 

Key words: сверхадиабатический режим; скорость волны; равновесная температура; адиабатическая температура; распределения температур; коэффициент избытка топлива; состав смеси; концентрация; superadiabatic mode; wave speed; equilibrium temperature; adiabatic temperature; the temperature distribution; the coefficient of excess fuel; concentration; the composition of the mixture.  

Download  Kokhirova G.I., Ivanova O.V., Rakhmatullaeva F.J., Khamroev U.Kh., Abdulloev S.H.  250260 
Results of observations of the asteroid (596) Scheila in Sanglokh observatory 
The results of astrometric and photometric in BVRI standard bands observations of active asteroid (596) Sheila performed by the Zeiss1000 telescope of the International astronomical observatory Sanglokh in the period of June 16  17 and July 30 August 1, 2017 are presented. The object’s coordinates were determined, as well as the absolute magnitudes in four bands and colorindexes of asteroid were obtained. The light curves do not shown variations of the brightness during the period of observations. The absolute magnitude values are close to the ephemerid value, estimations of diameter and rotation period of the asteroid by our observations are in good accordance with other data. The obtained data showed that the asteroid has saved absolute magnitude and other parameters, in spite of its collision with a small body in December 2010 that led to outburst of its brightness and developing of a comet activity of the asteroid. The impact of the asteroid Sheila was very likely not catastrophic, and did not lead to its complete decay. 

Key words: астероид; астрометрия; фотометрия; координаты; кривая блеска; абсолютная яркость; диаметр; период вращения; asteroid; astrometry; photometry; coordinates; light curve; absolute magnitude; diameter; rotation period.  

Download  Odinaev S., Idibeg Kh.  261268 
About the frequency behavior of the electroconductive properties of electrolyte solutions depending on the nature of the attenuation of relaxing flows 
Analytical expressions for the dynamic coefficient of electroconductivity and modulus of electroelasticity of electrolyte solutions when relaxing the flows are damped by degree and exponential law are obtained. The frequency behaviour of these coefficients in a wide frequency range, and asymptotic behaviour at low and high frequencies were investigated. 

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

Download  Kadirov A.L.  269274 
Thermal energy converter on the basis of secondary cast polycrystalline silicon 
Comparison of solar and thermal energy converters based on semiconductor silicon of various modifications is presented. A cheaper and more efficient thermal energy converter from secondary cast polycrystalline silicon is proposed. The prospects of using nonmonocrystalline, nanostructured and composite materials are pointed out. 

Key words: нефотоактивная составляющая солнечного излучения; преобразователи солнечной и тепловой энергии; вторичный литой поликристаллический кремний; nonphotoactive component of solar radiation; converters of solar and thermal energy; secondary cast polycrystalline silicon.  

Download  Abdulov Kh.Sh., Tuichiev L., Tuichiev Sh.  275280 
Calculation of parametres of a helical chain of polymer 
It is shown that for a helical chain with number of various atoms in the period of identity more than 7 it is impossible to write formulas of type of Miyazawa in an analytical kind. Therefore on the basis of the equations of Miyazawa the algorithm is created and the program on a Fortran for calculation of parametres helical chain with any number of various atoms in the identity period is written. Under this program parametres of a helical chain for number of various atoms in the period of identity from 1 to 3 are calculated. 

Key words: алгоритм; параметры спиральной цепи; период идентичности; программа; уравнения Миязавы; algorithm; parametres of a helical chain; the identity period; the program; the equations of Miyazawa.  

Download  Hodjiev S.K., Nazarov Kh.M., Ermatov K.A., Mirsaidov I.U., Bobojorov M.D.  281285 
Effectiveness of hydrogen peroxide action as an oxidizer of uranium dioxide depending on the pH state 
In the article the results of the action of hydrogen peroxide as an oxidizer of uranium dioxide depending on the pH state are presented. It was found that hydrogen peroxide in the sulfuric acid state is possessed a high oxidizing ability with respect to uranium, and the oxidation process proceeds energetically not only with the participation of iron ions, but also in their absence. Such combined processes using hydrogen peroxide as an oxidizer deserve more attention. 

Key words: рН среды; пероксид водорода; диоксид урана; ион железа; степень окисления; реагент; окислитель; pH state; hydrogen peroxide; uranium dioxide; iron ion; oxidation grades; reagent; oxidant.  

Download  Naimov N.A., Ruziev J.R., Aminjoni G., Safiev A.Kh., Boboev Kh.E., Muhamediev N.P., Rafiev R.S., Safiev Kh.  286292 
Complex processing of kaolin clays Ziddi deposit 
In this work the results of studies on establishing the composition and optimal parameters for the complex processing of kaolin clays of the Ziddi deposit is showed. The conducted studies showed that during the process of sulfatization of kaolin clays, it is possible to obtain sulfated sintering, consisting mainly of silica, aluminum sulfate and iron sulfate. The resulting sulphated sinter according to known Bayer technology can be processed to produce alumina or used in the production of aluminum fluoride and cryolite. 

Key words: каолиновые глины; сульфатизация; сульфатсодержащий раствор; десульфатизация; коагулянт; неочищенный коагулянт; коагулирующие свойства; сульфат алюминия неочищенный; глинозём; kaolin clays; sulfatization; sulfatecontaining solution; desulfatization; coagulant; raw coagulant; coagulating properties; crude aluminum sulfate; alumina.  

Download  Nazarov Kh.M., Boboev B.D., Ermatov K.A., Bahronov S., Muminov S.V.  293295 
Contents of radon in the air of the spetamen district of the Republic of Tajikistan 
The results of monitoring of the radon content in the air of residential houses in the Spitamen district of Tajikistan are presented. It is shown that the average concentration of radon in the air is 72 Bq/m³. 

Key words: радон; объёмная активность; радиометр; дозиметр; доза; жилые помещения; воздух; radon; volumetric activity; radiometer; dosimeter; dose; residential houses; air.  

Download  Sabirov A.A.  296301 
Two new species of the primitive carboniferous foraminifera of the Tajikistan 
In the Lower Carboniferous deposits of Tajikistan two new species of calcareous primitive Foraminifera, the youngest representatives of thinwalled Parathuramminidae, are found out first time, which have been still known from more ancient deposits. 

Key words: фораминиферы; паратурамминиды; каменноугольная система; турнейский ярус; визейский ярус; Foraminiferа; Parathuramminidаe; Carboniferous system; Tournaisian stage; Visean stage.  

Download  Abdullaev Kh.A., Valiev Yu.Ya., Gorenkova L.G., Kabgov Kh.B., Mamatov E.D.  302306 
The influence of superphosphate, making up from Karatag deposits on photosynthesis, assimilate partitioning and technological properties of cotton fiber 
It shown that the fertilizer superphosphate, making up from Karatag deposits is raise of the photosynthesis intensity rate, weight of vegetative and generative organs give a higher yield 

Key words: хлопчатник; фосфорит; микроэлементы; фотосинтез; распределение ассимилятов; технологические свойства волокна. биологический и хозяйственный урожай; cotton; phosphorite; microelements; photosynthesis; assimilate partitioning; technological properties of fiber; biological and economic harvest.  

Download  Khamroeva Kh.M., Davlyatnazarova Z.B., Norkulov N.Kh., Dzhumaev B.B.  307312 
Influence of exogenous antioxidants on lipide peroxidation of arabidopsis plants in salinity conditions 
The effect of ascorbic acid and αtocopherol on the processes of lipid peroxidation in the wild type and mutant forms of Arabidopsis thaliana (L .) Heynh in conditions of chloride salinity was studied. It is shown that the adding of exogenous antioxidants to the aqueous growth medium separately and in a complex leads to different degrees of inhibition of lipid peroxidation processes. In the wild form of En and mutants forms as, cla and flavi , the level of MDA formation is different in the presence of NaCl , ascorbic acid acts as a prooxidant, i.e. facilitated the oxidation reaction, and αtocopherol abruptly inhibited POL. 

Key words: Arabidopsis thaliana (L.) Heynh; засоление; антиоксиданты; аскорбиновая кислота; αтокоферол; перекисное окисление липидов; Arabidopsis thaliana (L.) Heynh; salinity; antioxidants; ascorbic acid; αtocopherol; lipid peroxidation.  
