Известия Академии наук Республики Таджикистан. Отделение физикоматематических, химических, геологических и технических наук, №2(171), 2018 г. 
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Скачать  М.О.Аkobirshoev , V.D.Sainakov  716 
The value of quasiwidths of the some class of periodical functions with two variables in L 
In the Hilbert space of squareintegrable periodic in each variable functions accurate estimates of quasiwidths of certain classes of differentiable functions are found whose averaged moduli of continuity of higherorder partial derivatives are majorized by given functions. 

Ключевые слова: best approximation; modulus of continuity; periodical function; normalized space; liner and Kolmogorovs quasiwidths.  

Скачать  S.A.Iskhokov , B.A.Rakhmonov  1725 
Variational Dirichlet problem associated
with noncoercive form in the whole space 
We study the solvability of the Dirichlet variational problem for one class of higher order elliptic operators in the whole dimensional Euclidean space in the case of uncoordinated degeneration of coefficients at infinity. The formulation of the problem under consideration is connected with the integrodifferential sesquilinear form, which may not satisfy the coercivity condition. The notion of an leading form is introduced, and in accordance with the behavior of the coefficients of the leading forms, the basic weighted normed space is defined in which the solution of the main problem of the work is searched. A theorem on the unique solvability of this problem is proved and an estimate of the norm of the solution is established through the norm of the righthand side of the equation. 

Ключевые слова: variational Dirichlet problem; elliptic operator; power degeneration; noncoercive form; uncoordinated degeneration.  

Скачать  N.N.Usmonzoda  2634 
About one class of nonlinear singular integral equations 
In the paper a class of nonlinear singular integral equations is studied. It is established that number of solutions of the integral equation in the class of functions, limited on a countour, do not change due to presence of zeroes of coefficients of the integral equation and decrease by total order of all pole. 

Ключевые слова: integral equations; condition of Hölderr; singular case; canonical function; Cauchi type integral; interpolation polynomial; zero and pole.  

Скачать  T.A.Toshov , Kh.Kh.Muminov , A.T.Maksudov  3543 
To the theory of magnetoelastic waves in S = 1 ferromagnets with strong singleion anisotropy 
Investigations of nonHeisenberg ferromagnets with spin S = 1 were carried out in the presence of a connection with the phonon subsystem by modulating the exchange integral. The ground state is found and a soliton solution is obtained for the system of equations describing the coupled spinquadrupole wave with the deformation one in S = 1 ferromagnets with singleion anisotropy of the "easy plane" type. 

Ключевые слова: nonHeisenberg ferromagnet; singleion anisotropy; spinphonon interaction; magnetoelastic waves; spinquadrupole waves.  

Скачать  T.Kh.Salikhov , N.Melikkhudzha , A.Mahmalatif  4451 
The contribution of absorbing substrate to the formation of the nonlinear photoacoustic response:
mathematical model and temperature field 
A mathematical model for the generation of a nonlinear photoacoustic (PA) response is proposed for the case when the substrate, along with the sample, is absorbing. The system of nonlinear heat conduction equations for the gas layer, the sample and the substrate has been used. The temperature increments are represented as the sum of the locally equilibrium and oscillatory parts, and the oscillatory ones as the sum of the linear and nonlinear parts. The necessary system of differential equations for the fundamental and second harmonics of a nonlinear PA signal is obtained. The features of the formation of the temperature field in the PA chambers are studied in detail. 

Ключевые слова: photoacoustic; optoacoustic; thermal nonlinearity.  

Скачать  S.Odinaev , D.M.Akdodov , Kh.I.Idibegzoda  5261 
Frequency dispersion of electric elasticity modulus of aqueous solution of sodium chloride 
Based on the previously obtained analytical expression for the modulus of electroelasticity , when the relaxing flows are dumped exponentially, for a certain solution model and explicit expressions for the potential of intermolecular interaction and the radial distribution function , as well as the corresponding values of concentrations C and temperatures T, the dynamic modulus of electroelasticity of NaCl aqueous solution is calculated. The results of numerical calculations are in satisfactory agreement with the experiment. 

Ключевые слова: the modulus of electroelasticity; friction coefficients; relaxation time; potential energy of interaction; radial distribution function.  

Скачать  Kh.Kh.Muminov , Sh.F.Muhamedova , M.AsghariLarimi  6276 
Numerical simulation of multisolitonic solution
of the vector nonlinear Schrödinger equation
with a selfconsistent potential 
Numerical simulation of the evolution of the multisolitonic solution of the vector nonlinear Schrödinger equation with a selfconsistent potential , describing a twocomponent Bosegas in fieldtheoretical models of physics of condensed matter is carried out. Analysis of the dynamics of the evolution of multisoliton solutions shows that there is no significant breather dynamics of the motionless soliton. The mobile soliton exhibits substantial breather dynamics at three fundamental frequencies of time modulation. Soliton demonstrates stability while retaining the integral of motion with high accuracy. 

Ключевые слова: nsoliton solution; trivial boundary conditions; vector nonlinear Schrödinger equation; breather.  

Скачать  D.Kh.Mirzoev , S.M.Gaforzoda , Sh.D.Otaev , Sh.B.Nazarov  7779 
Aqueoushydrochloric acid leaching of green clays
of ChashmaSang of Republic of Tajikistan deposit
with preliminary sintering with calcium chloride 
The results of study of aqueoushydrochloric acid leaching of green clays of ChashmaSang Deposit with preliminary sintering with calcium chloride are considered in the paper. The optimal conditions of extraction of valuable components from the ore are defined 

Ключевые слова: green clay; aqueoushydrochloric acid leaching; sintering; calcium chloride.  

Скачать  Sh.H.Halikov , J.А.Oliftaeva , M.Umаrhon  8085 
Release of humic acids in the form of the complex from coal of «Shurob» 
In the paper the release of humic acids from brown coal of the Shurob field of the Republic of Tajikistan is considered. By the spectral and composition analysis the characteristic structurally  group composition of humic acids is defined. It is revealed that in brown Shurob coal presence of humic acids is connected with determination of genesis of humic acids in nature. 

Ключевые слова: alkali; coal; humic acids; humuses; humates; ashes; extraction.  

Скачать  M.M.Tagoev , Sh.B.Nazarov , Zh.A.Misratov , U.M.Mirsaidov  8690 
Kinetics of the sintering process of borosilicate raw
material and its concentrate with sodium sulphate 
The results of the studies of borosilicate raw materials of the AkArkhar field and its concentrate decomposition by the sintering method with sodium sulfate are presented. The mechanisms of the reactions are determined and the kinetics of the process is studied. 

Ключевые слова: borosilicate ore; concentrate; sintering; kinetics; sodium sulfate.  

Скачать  S.S.Saidrahmonzoda  9197 
The accounting features of drilling technology
in intervals, characterized by the presence of
anomalously high seampressure in drawing up
of the technical project of construction of wells
at the square of a Mahram 
Based on data from previous studies and results of drilling wells recommendations ore produced, when drafting new exploratory wells it is neussary to take into account the particularities of drilling technology in intervals characterized by the presence of anomalously high seam pressure. 

Ключевые слова: abnormal; layer; hydrostatic; drilling; repression; area; lithological section; search; intelligence; pressure.  

Скачать  D.A.Abdushukurov , D.Abdusamadzoda , A.S.Kodirov  98106 
Initial salinization of rivers in the upper
of the Vakhsh river 
The article deals with the initial salinization of rivers in the upper reaches of the Vakhsh river. It is determined that the share of underground feeding of rivers increases in the middle river formation, correspondingly the mineralization of water in the rivers increases. Measures have been developed to reduce the overall salinity of the Vakhsh river. 

Ключевые слова: salinization; Vakhsh river; physical and chemical properties of water; turbidity.  

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Скачать   109112 



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Скачать   113114 



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