of National Academy of Sciences
of Tajikistan

News of the National Academy of Sciences of Tajikistan.
Department of physical, mathematical, chemical, geological and technical sciences

Известия Академии наук Республики Таджикистан. Отделение физико-математических, химических, геологических и технических наук, №1(170), 2018 г.

Article title and abstractPages
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Least upper bounds of mean square deviation approximations of some classes of functions of two variables by Fourier-Chebyshev sums
In work exact values of least upper bounds of mean square deviation of approximations for some classes of functions of two variables by the "circular" partial Fourier-Chebyshev sums.

Ключевые слова: mean square deviation of approximations; "circular" sums; private sums Fourier; shift operator.

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A.C.Sattorov , J.Y.Nazarov
Integral representations and solutions of the Cauchy type probltm, for a degenerated differential equation of the fourth order of the first kind
In this work, depending on the values of the coefficients of degenerated differential equations of the fourth order of the first kind integral representations of solutions are found. Then, the obtained integral representation is used to solve the Cauchy type problem. The solution of Cauchy type problem is found in explicit form.

Ключевые слова: Equations of the first type; regular solution; integral representation.

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About the tajik spellchecker
The article notes the current state of the issue of automatic verification of the Tajik orphography and offers a new software product Spell Checker Tj.

Ключевые слова: Tajik language; speller; computer.

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Kh.Kh.Muminov , Sh.F.Muhamedova , M.Asghari-Larimi
Analysis of the breather dynamics of multisoliton solutions of the scalar nonlinear Schrödinger equation with condensate boundary conditions
By use of numerical simulation methods the breather dynamics of multisoliton nonlinear excitations in Bose-Einstein condensate described by the scalar nonlinear Schrödinger equation with non-trivial (condensate) boundary conditions has been investigated. Formation of solitonic solution is observed analogous to the conventional breather, under condition of non-zero velocity of soliton, which breather dynamics freezes as the velocity tends to zero.

Ключевые слова: n-soliton; condensate boundary conditions; scalar nonlinear Schrödinger equation.

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T.M.Alidodov , Kh.Sh.Abdulov , Kh.Kh.Muminov
Calculation of stresses in the multilayer GaInAsP/InP heterostructures
The work has developed methods for determining and calculating the stress and radius of curvature at each interface in multilayer heterostructures based on GaInAsP/InP with different active layer thickness. In different batches with different relative mismatch of the lattice parameters, the tension or compression of epitaxial layers was obtained depending on the sign of the stresses on the substrate. It is shown that at the same value with a decrease in the thickness of the epitaxial GaInAsP layers, an increase in the voltage level in them is observed.

Ключевые слова: heterostructures; GaInAsP / InP; internal stresses; elastic deformation; radius of curvature.

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M.A.Saliev , Kh.M.Akhmedov
Study of efficiency of solar photoelectric installation in real operating conditions
The energy efficiency of the solar power station by monitoring data from the output of photovoltaic module under real operating conditions were investigated. The duration of effective operation of photovoltaic module, the power efficiency and output power per day in winter period of the minimum insolation were determined.

Ключевые слова: solar radiation; sunshine duration; temperature of the photovoltaic solar module; power efficiency; output power.

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I.K.Kalandarbekov , I.I.Kalandarbekov , J.N.Nizomov
Innovative methods of protection of buildings and constructions from earthquakes
In the article, based on the developed mathematical model and computer program, the results of the dynamic calculation of multi-storey buildings with seismic isolation were obtained. On the basis of a direct method of numerical integration, studies of free and forced oscillations of a dynamic model of a building without seismic isolation and taking into account seismic isolation were carried out.

Ключевые слова: seismic isolation; mathematical model; seismic stability of structures; seismic protection; superstructure; frequency spectrum.

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A.M.Barotov , F.A.Nazarov , A.S.Kurbonovа , Sh.B.Nazarov , U.М.Mirsaidov
Estimation of the process of sintering of borosilicate ore with various reagents
The estimation of sintering process of borosilicate ore of Ak-Arkhar field of Tajikistan with various reagents is presented. The advantage of calcium chloride as the most accessible and cheap reagent in the process of sintering is shown.

Ключевые слова: sintering; borosilicate ore; calcium chloride; sodium hydroxide; estimation.

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R.D.Ismonov , I.N.Ganiev , H.O.Odinazoda , A.M.Safarov
Potentiodynamic investigation of AB1 alloy doped by indium, in electrolyte medium of 3% NaCl
The article presents the results of the investigation of the anodic behavior of an aluminum alloy with 1% by weight beryllium (AB1) doped with 0.01 to 0.5% by weight of indium in an electrolyte medium of 3% NaCl.

Ключевые слова: aluminum alloy with beryllium (AB1); indium; potentiostatic method; anodic behavior; corrosion rate; corrosion potential; pitting potential; repassivation potential.

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M.A.Mirakov , A.R.Fayziev , L.A.Pautov , M.A.Shodibekov
To the mineralogy of pegmatites of the Namangut pegmatite field (South-Western Pamir)
In the article description of cassiterite, columbite-tantalite and tourmaline from the pegmatites of the Namangut pegmatite field (South-Western Pamir) is presented.

Ключевые слова: Namangut pegmatite field; cassiterite; columbite-tantalite; tourmaline; chemical composition; impurity elements.

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F.A.Fayziev , A.R.Fayziev , S.B.Yatimov
About silver-bearing of skarn-polymetallic deposits of Western Karamazar (Northern Tajikistan)
The article contains a description of the silver-containing skarn-polymetallic ore-formation type of mineralization in the Altyntopokan (Zarnisor) ore site, as well as in the Kansai and Takeli ore fields. Mineralization in deposits of this ore-formation type occurred in pre-ore (skarn) and ore (hydrothermal) stages.A large number of minerals are described here, the main ones being galena, sphalerite, pyrite, chalcopyrite and arsenopyrite. The vein minerals are represented by quartz, calcite, fluorite, dolomite, ankerite, anhydrite and barite. Although this type contains its own silver minerals, the bulk of this metal is in the form of submicron inclusions or isomorphic impurities in ore minerals, especially in galena and faded ores.

Ключевые слова: formation type; ore field; skarn; silver; stage; stage; mineral formation; polymetallic ores; ore bodies; structure; texture.

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М.H.Ishanov , D.М.Ishanov , N.S.Safaraliev , Sh.A.Odinaev
Direct methods for large hydro-carbon deposits searching in the South-Western Tajikistan
Improving techniques of searching for oil and gas deposits, working out optimal scheme of the searching-prospecting works in terms of their application to the geological environments of the South-Western Tajikistan perform extremely important challenges in the oil-gas searching works.

Ключевые слова: direct methods; deep faults; large hydro-carbon deposits; vertical migration; trusts.

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Sh.N.Uzakova , I.R.Qaraev
Geological threats and their consequence in territory South-West Pamir
The article presents the results of studies of modern geological processes and the vigorous activity of glaciers in the Gorno-Badakhshan Autonomous Region.

Ключевые слова: relief; mudflow; landslide; risk; geodanger.

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H.Abrorov , A.S.Rajabova
The problems of protection of water resources of mountain Zeravshan
In the paper general issues of water quality in the Zeravshan river basin and some causes of deterioration and pollution are considered, as well as some specific proposals to improve quality of water are given.

Ключевые слова: water resources; the polluted waters; quality of water; river and underground waters; water cleaning construction; garbage; torrential phenomena; leashes.

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